This paper deals with the equilibria of games when the agents have multiple objectives and, therefore, their utilities cannot be represented by a single value, but by a vector containing the various dimensions of the utility. Our approach allows the incorporation of partial information about the preferences of the agents into the model, and permits the identification of the set of equilibria in accordance with this information. We also propose an additional conservative criterion which can be applied in (...) this framework in order to predict the results of interaction. The potential application of the theoretical results is shown with an analysis of a mixed oligopoly in which the agents value additional objectives other than their own benefit. These objectives are related to social welfare and to the profit of the industry. The flexibility of our approach provides a general theoretical framework for the analysis of a wide range of strategic economic models. (shrink)

This article revisits the standard results of demand theory when the preference relation is a continuous preorder that admits an equicontinuous multi-utility representation. We study the consumer problem as the constrained maximization of a continuous vector-valued utility mapping, and show how to rederive those results. In particular, we provide a link between the literature on vector optimization and the analysis of the consumer problem under incomplete preferences.

We give two social aggregation theorems under conditions of risk, one for constant population cases, the other an extension to variable populations. Intra and interpersonal welfare comparisons are encoded in a single ‘individual preorder’. The theorems give axioms that uniquely determine a social preorder in terms of this individual preorder. The social preorders described by these theorems have features that may be considered characteristic of Harsanyi-style utilitarianism, such as indifference to ex ante and ex post equality. However, the theorems are (...) also consistent with the rejection of all of the expected utility axioms, completeness, continuity, and independence, at both the individual and social levels. In that sense, expected utility is inessential to Harsanyi-style utilitarianism. In fact, the variable population theorem imposes only a mild constraint on the individual preorder, while the constant population theorem imposes no constraint at all. We then derive further results under the assumption of our basic axioms. First, the individual preorder satisfies the main expected utility axiom of strong independence if and only if the social preorder has a vector-valued expected total utility representation, covering Harsanyi’s utilitarian theorem as a special case. Second, stronger utilitarian-friendly assumptions, like Pareto or strong separability, are essentially equivalent to strong independence. Third, if the individual preorder satisfies a ‘local expected utility’ condition popular in non-expected utility theory, then the social preorder has a ‘local expected total utility’ representation. Fourth, a wide range of non-expected utility theories nevertheless lead to social preorders of outcomes that have been seen as canonically egalitarian, such as rank-dependent social preorders. Although our aggregation theorems are stated under conditions of risk, they are valid in more general frameworks for representing uncertainty or ambiguity. (shrink)

This article describes the use of continuous vector space models for reasoning with a formal knowledge base. The practical significance of these models is that they support fast, approximate but robust inference and hypothesis generation, which is complementary to the slow, exact, but sometimes brittle behaviour of more traditional deduction engines such as theorem provers.The article explains the way logical connectives can be used in semantic vector models, and summarizes the development of Predication-based Semantic Indexing, which involves (...) the use of Vector Symbolic Architectures to represent the concepts and relationships from a knowledge base of subject-predicate-object triples. Experiments show that the use of continuous models for formal reasoning is not only possible, but already demonstrably effective for some recognized informatics tasks, and showing promise in other traditional problem areas. Examples described in this article include: predicting new uses for existing drugs in biomedical informatics; removing unwanted meanings from search results in information retrieval and concept navigation; type inference from attributes; comparing words based on their orthography; and representing tabular data, including modelling numerical values.The algorithms and techniques described in this article are all publicly released and freely available in the Semantic Vectors open-source software package.1. (shrink)

Background:The management of challenging behaviours in inpatient with intellectual disability and/or autism spectrum disorders can lead to an escalation of control measures. In these complex situations where patients have an intellectual disability/autism spectrum disorder accompanied by a psychiatric comorbidity, the experiences of caregivers related to the crisis management have rarely been studied.Purpose:This study examined the moral experiences of caregivers related to challenging behaviours’ management and alternatives to control measures.Research design:Using Charles Taylor’s hermeneutic framework, a 2-month focused ethnography with a participatory (...) approach was used.Participants and research context:Sixteen caregivers were interviewed in a Canadian mental health setting for adults with intellectual disability/autism spectrum disorder and psychiatric comorbidity.Ethical considerations:The research was conducted in compliance with the Declaration of Helsinki and local Research Ethics Board approval. Written informed consent was collected systematically from participants.Findings:By accounting for caregivers’ moral experiences, this study sheds light on a neglected dimension of the care relationship: the vulnerability of the caregiver. We highlight the main barriers and facilitators to alternatives to control measures. First, a caregiver’s vulnerability was characterised by the overall impact of challenging behaviours and the moral distress associated with the use of control measures and exclusion mechanisms of intellectual disability/autism spectrum disorder patients. Second, a strong ambiguity between care and control measures and a lack of inclusive approaches were identified as the two main barriers to challenging behaviour management. Third, the involvement, both professional and personal, of caregivers was deemed necessary to implement alternatives to control measures.Discussion:A conflict of values opposes two conceptions of autonomy: a rational autonomy, which is counterproductive to the reduction of control measures, versus a relational autonomy based on shared vulnerability.Conclusion:The recognition of caregiver’s vulnerability is a benchmark to create alternative approaches, which defuse the logic of control and promote an ethics of care within which caregivers’ self-concern can be understood as fostering mutual respect. (shrink)

A passive brain–computer interface based upon functional near-infrared spectroscopy brain signals is used for earlier detection of human drowsiness during driving tasks. This BCI modality acquired hemodynamic signals of 13 healthy subjects from the right dorsolateral prefrontal cortex of the brain. Drowsiness activity is recorded using a continuous-wave fNIRS system and eight channels over the right DPFC. During the experiment, sleep-deprived subjects drove a vehicle in a driving simulator while their cerebral oxygen regulation state was continuously measured. Vector (...) phase analysis was used as a classifier to detect drowsiness state along with sleep stage-based threshold criteria. Extensive training and testing with various feature sets and classifiers are done to justify the adaptation of threshold criteria for any subject without requiring recalibration. Three statistical features along with six VPA features were used. The average accuracies for the five classifiers are 90.9% for discriminant analysis, 92.5% for support vector machines, 92.3% for nearest neighbors, 92.4% for both decision trees, and ensembles over all subjects’ data. Trajectory slopes of CORE vector magnitude and angle: m and m are the best-performing features, along with ensemble classifier with the highest accuracy of 95.3% and minimum computation time of 40 ms. The statistical significance of the results is validated with a p-value of less than 0.05. The proposed passive BCI scheme demonstrates a promising technique for online drowsiness detection using VPA along with sleep stage classification. (shrink)

A mixture preorder is a preorder on a mixture space (such as a convex set) that is compatible with the mixing operation. In decision theoretic terms, it satisfies the central expected utility axiom of strong independence. We consider when a mixture preorder has a multi-representation that consists of real-valued, mixture-preserving functions. If it does, it must satisfy the mixture continuity axiom of Herstein and Milnor (1953). Mixture continuity is sufficient for a mixture-preserving multi-representation when the dimension of the (...) mixture space is countable, but not when it is uncountable. Our strongest positive result is that mixture continuity is sufficient in conjunction with a novel axiom we call countable domination, which constrains the order complexity of the mixture preorder in terms of its Archimedean structure. We also consider what happens when the mixture space is given its natural weak topology. Continuity (having closed upper and lower sets) and closedness (having a closed graph) are stronger than mixture continuity. We show that continuity is necessary but not sufficient for a mixture preorder to have a mixture-preserving multi-representation. Closedness is also necessary; we leave it as an open question whether it is sufficient. We end with results concerning the existence of mixture-preserving multi-representations that consist entirely of strictly increasing functions, and a uniqueness result. (shrink)

It is well known that interval orders are particularly interesting in decision theory, since they are reflexive, complete and nontransitive binary relations which may be fully represented by means of two real-valued functions. In this paper, we discuss the existence of a pair of nonnegative, positively homogeneous and semicontinuous real-valued functionals representing an interval order on a real cone in a topological vector space. We recover as a particular case a result concerning the existence of a nonnegative, (...) positively homogeneous and continuous utility functional for a complete preorder on a real cone in a topological vector space. (shrink)

A common argument for atheism runs as follows: God would not create a world worse than other worlds he could have created instead. However, if God exists, he could have created a better world than this one. Therefore, God does not exist. In this paper I challenge the second premise of this argument. I argue that if God exists, our world will continue without end, with God continuing to create value-bearers, and sustaining and perfecting the value-bearers he has already created. (...) Given this, if God exists, our world—considered on the whole—is infinitely valuable. I further contend that this theistic picture makes our world's value unsurpassable. In support of this contention, I consider proposals for how infinitely valuable worlds might be improved upon, focusing on two main ways—adding value-bearers and increasing the value in present value-bearers. I argue that neither of these can improve our world. Depending on how each method is understood, either it would not improve our world, or our world is unsurpassable with respect to it. I conclude by considering the implications of my argument for the problem of evil more generally conceived. (shrink)

Suppose that a decision-maker's aim, under certainty, is to maximise some continuous value, such as lifetime income or continuous social welfare. Can such a decision-maker rationally satisfy what has been called "continuity for easy cases" while at the same time satisfying what seems to be a widespread intuition against the full-blown continuity axiom of expected utility theory? In this note I argue that the answer is "no": given transitivity and a weak trade-off principle, continuity for easy cases (...) violates the anti-continuity intuition. I end the note by exploring an even weaker continuity condition that is consistent with the aforementioned intuition. (shrink)

Several axiom systems for preference among acts lead to a unique probability and a state-independent utility such that acts are ranked according to their expected utilities. These axioms have been used as a foundation for Bayesian decision theory and subjective probability calculus. In this article we note that the uniqueness of the probability is relative to the choice of whatcounts as a constant outcome. Although it is sometimes clear what should be considered constant, in many cases there are several (...) possible choices. Each choice can lead to a different "unique" probability and utility. By focusing attention on statedependent utilities, we determine conditions under which a truly unique probability and utility can be determined from an agent's expressed preferences among acts. Suppose that an agent's preference can be represented in terms of a probability P and a utility U.That is, the agent prefers one act to another iff the expected utility of that act is higher than that of the other. There are many other equivalent representations in terms of probabilities Q, which are mutually absolutely continuous with P, and state-dependent utilities V, which differ from U by possibly different positive affine transformations in each state of nature. We describe an example in which there are two different but equivalent state-independent utility representations for the same preference structure. They differ in which acts count as constants. The acts involve receiving different amounts of one or the other of two currencies, and the states are different exchange rates between the currencies. It is easy to see how it would not be possible for constant amounts of both currencies to have simultaneously constant values across the differentstates. Savage (1954, sec. 5.5) discovered a situation in which two seemingly equivalent preference structures are represented by different pairs of probability and utility. He attributed the phenomenon to the construction of a "small world." We show that the small world problem is just another example of two different, but equivalent, representations treating different actsas constants. Finally, we prove a theorem (similar to one of Karni 1985) that shows how to elicit a unique state-dependent utility and does not assume that there are prizes with constant value. To do this, we define a new hypothetical kind of act in which both the prize to be awarded and the state of nature are determined by an auxiliary experiment. (shrink)

Abstract“Trait” is a ubiquitous term in biology, but its precise meaning and theoretical foundations remain opaque. After distinguishing between “trait” and “character,” I argue for the value of adopting Theodosius Dobzhansky’s 1956 definition and framework for understanding “trait,” which holds that traits are just “semantic devices” that artificially impose order on continuous biological phenomena. I elaborate on this definition to distinguish between trait validity (compliance with Dobzhansky’s trait definition) and trait utility (usefulness of a trait). As a consequence (...) of this elaboration of the meaning of “trait,” it becomes clear that considerations of adaptation, function, homogeneity and natural kinds have clouded discussions of the meaning of “trait” per se. Combining this account with work by David Hull and examples from contemporary biology, I demonstrate that even broad or heterogeneous traits (including multiple sub-traits) can qualify as valid and useful. As a test case for this understanding of trait, I show how it can help resolve critiques of schizophrenia’s status as a single trait, highlighting the recent advances made within schizophrenia research. (shrink)

Bartha and DesRoches (2021) and Steel and Bartha (2023) argue that we should understand the precautionary principle as the injunction to maximise lexical utilities. They show that the lexical utility model has important pragmatic advantages. Moreover, the model has the theoretical advantage of satisfying all axioms of expected utility theory except continuity. In this paper I raise a trilemma for any attempt at modelling the precautionary principle with lexical utilities: it permits choice cycles or leads to paralysis or (...) implies that the smallest value difference that is possible in a context has extreme axiological implications. (shrink)

In this late modern era within which the basic values of life have been reordered (driven by globalisation, the corporate agenda and mass communication technologies), the individual has effectively been reduced to a mere abstraction. It might be argued that the rational, moral and humanistic concept of freedom has, to a great extent, been compromised by a consequent crisis within the intelligentsia. These groups, in particular the gatekeepers of a classical liberal approach to legal scholarship, are caught between the twin (...) evils of increased unreflective populism and pragmatism evident within many law schools and modern legal institutions. Although a contested term, defenders of the ‘socio-legal’ tradition, who place the humanities at the heart of legal research and education, are obliged to restate with increased determination the utility of the liberal arts and literature to the law profession and wider legal community. In a normative environment, law and narrative are inextricably linked and narrative poetry is not only invaluable to explaining the origins and location of the legal tradition, but also elicits a mode of understanding which transcends the boundaries of narrowlydefined legal hermeneutics—which often only addresses issues of an operational nature. French novelist Flaubert claimed “chaque notaire porte en soi les débris d’un poète” (Flaubert in Madame bovary (trans: Wall, G.), Penguin Classics, London, 1960: 269), paraphrased by American civil rights lawyer, Clarence Darrow, as “inside every lawyer is the wreck of a poet” (Lukas in Big trouble: a murder in a small western town sets off a struggle for the soul of America, Simon & Schuster, New York, 1997: 323). In an age of disenchantment, this paper explores the poetic form as an important medium within which to understand the nature and function of law in a society of differentiated individuals. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Values of Beauty: Historical Essays in AestheticsDabney TownsendValues of Beauty: Historical Essays in Aesthetics, by Paul Guyer; 359 pp. Cambridge: Cambridge University Press, 2005, $75.00, $27.99 paper.This volume collects thirteen essays that range over topics from the eighteenth century to the twentieth century. The earliest was published in 1986, the last in 2004, and three appear here for the first time. They are grouped topically by period—"I. Mostly (...) before Kant; II. Mostly Kant; III. Mostly After Kant"—rather than chronologically. While this order is useful, it introduces some dislocation if one approaches the book as a whole since the last essay in the book is the first chronologically, and part of the interest of the book lies in the changes in Paul Guyer's positions over time that are reflected in his careful reconsideration of topics that he has dealt with more extensively in his volumes on Kant's [End Page 422] philosophy. As one of the most important contemporary interpreters of Kant's aesthetics, those reconsiderations are well worth attending to.The focus of all of the essays is clearly on Kant's aesthetics. That perspective is clear even when Guyer is discussing the history of aesthetics prior to Kant. As he notes, "this history of the first decades of modern aesthetics has obviously been written with an eye to Kant" ("Origins of Modern Aesthetics: 1711–1735," pp. 32–33). It continues in the discussions of recent aesthetics. For example, Guyer concludes that "the effect that is intended on the revised Beardsleyan definition [of art] is in the tradition of the Kantian concept of the free play of imagination and understanding" ("From Jupiter's Eagle to Warhol's Boxes," p. 313). Danto and Mothersill are also, it is argued, in the Kantian tradition.There are, of course, some problems with this perspective, especially with regard to the pre-Kantian history of aesthetics. For example, Guyer finds Kant's distinction between pure beauty and apprehended beauty reflected in an earlier distinction between beauty of form and beauty of interest or utility. He writes: "The foundation of this theory [Hume's theory of beauty in the Treatise and An Enquiry Concerning the Principles of Morals] is the division of beauty into two classes, the first that of pleasurable sentiment caused by an immediate response—that is, a response not mediated by the intervention of imagination or judgment—to the form or other perceptual qualities of an object, and the second that of pleasurable sentiment, which arises only when the perception of the form of an object is supplemented by a concept or concepts brought to bear on it by imagination or judgment." ("The Standard of Taste and the 'Most ardent Desire of Society,'" p. 46). What Guyer identifies as a distinction between kinds of beauty is for Hume a distinction between sources of ideas, however. The second kind of beauty requires reflection and the combination of other ideas. For Hume, there are not two kinds of beauty but two ways that the ideas of beauty, which is just a form of pleasure, are sorted. Reservations about Guyer's perspective on the earlier history of aesthetics do not detract from the interest of his analysis, however, which is always careful and detailed.The central eight essays labeled "Mostly Kant" trace themes that Guyer has treated in much greater detail in his earlier books. Two central themes are especially prominent throughout these essays. First, Guyer views Kant's theory of beauty as the harmony of the imagination and the understanding: "The concept of the free yet harmonious play between the cognitive powers of imagination and understanding is the central concept in Kant's explanation of the experience of beauty and the analysis of the judgment of taste" ("The Harmony of the Faculties Revisited," p. 77). He refers back to essentially this formulation throughout the subsequent essays. Much of the interest of these essays lies in the way Guyer explicates and defends this central thesis against alternative readings of Kant and objections that it is inconsistent with the freedom from concepts and the purity of beauty that Kant claims.Second, Guyer reads Kant's aesthetics as... (shrink)

The analyses thus far undertaken of cost theory and utility theory have viewed these doctrines as they originally were, namely, as the contentions of two conflicting groups of value theorists. And had the two rival groups been allowed to continue to match strength on the plane on which Macvane, for example, contended, the result would probably have been the destruction of them both. Underneath surface conflicts, however, the rival theories had much in common. As the twentieth century got under (...) way, this state of affairs was discerned, with the result that in the end there was hand-shaking and backslapping all around and the inauguration of a live-and-let-live policy. Although at first regarding each other as mortal enemies, these two groups of price-determination theorists later came to see in one another something resembling blood kinship. But are the underlying assumptions which classicism and neoclassicism have in common any more realistic and scientific than the specific assumptions already examined? This is a question to which we now turn. (shrink)

We provide conditions under which an incomplete strongly independent preorder on a convex set X can be represented by a set of mixture preserving real-valued functions. We allow X to be infi nite dimensional. The main continuity condition we focus on is mixture continuity. This is sufficient for such a representation provided X has countable dimension or satisfi es a condition that we call Polarization.

Consider a sequence of outcomes of descending value, A > B > C >... > Z. According to Larry Temkin, there are reasons to deny the continuity axiom in certain ‘extreme’ cases, i.e. cases of triplets of outcomes A, B and Z, where A and B differ little in value, but B and Z differ greatly. But, Temkin argues, if we assume continuity for ‘easy’ cases, i.e. cases where the loss is small, we can derive continuity for the ‘extreme’ case (...) by applying the axiom of substitution and the axiom of transitivity. The rejection of continuity for ‘extreme’ cases therefore renders the triad of continuity in ‘easy’ cases, the axiom of substitution and the axiom of transitivity inconsistent.As shown by Arrhenius and Rabinowitz, Temkin's argument is flawed. I present a result which is stronger than their alternative proof of an inconsistency. However, this result is not quite what Temkin intends, because it only refers to an ordinal ranking of the outcomes in the sequence, whereas Temkin appeals to intuitions about the size of gains and losses. Against this background, it is argued that Temkin's trilemma never gets off the ground. This is because Temkin appeals to two mutually inconsistent conceptions of aggregation of value. Once these are clearly separated, it will transpire, in connection with each of them, that one of the principles to be rejected does not appear plausible. Hence, there is nothing surprising or challenging about the result; it is merely a corollary to Expected Utility Theory. View HTML Send article to KindleTo send this article to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle. Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply. Find out more about the Kindle Personal Document Service.UNACCEPTABLE RISKS AND THE CONTINUITY AXIOMVolume 28, Issue 1Karsten Klint Jensen DOI: https://doi.org/10.1017/S0266267112000107Your Kindle email address Please provide your Kindle [email protected]@kindle.com Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Dropbox To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Dropbox. UNACCEPTABLE RISKS AND THE CONTINUITY AXIOMVolume 28, Issue 1Karsten Klint Jensen DOI: https://doi.org/10.1017/S0266267112000107Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Google Drive To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Google Drive. UNACCEPTABLE RISKS AND THE CONTINUITY AXIOMVolume 28, Issue 1Karsten Klint Jensen DOI: https://doi.org/10.1017/S0266267112000107Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Export citation Request permission. (shrink)

We present an abstract social aggregation theorem. Society, and each individual, has a preorder that may be interpreted as expressing values or beliefs. The preorders are allowed to violate both completeness and continuity, and the population is allowed to be infinite. The preorders are only assumed to be represented by functions with values in partially ordered vector spaces, and whose product has convex range. This includes all preorders that satisfy strong independence. Any Pareto indifferent social preorder is then shown (...) to be represented by a linear transformation of the representations of the individual preorders. Further Pareto conditions on the social preorder correspond to positivity conditions on the transformation. When all the Pareto conditions hold and the population is finite, the social preorder is represented by a sum of individual preorder representations. We provide two applications. The first yields an extremely general version of Harsanyi's social aggregation theorem. The second generalizes a classic result about linear opinion pooling. (shrink)

Continuous environmental concerns regarding construction industry have been driving general constructors of mega infrastructure projects to incorporate green contractors. Although conventional multiple attributes decision-making methodologies have provided feasible ways to select contractor, high complexity in scenarios of megaprojects still challenges existing MADM methods in concurrently accommodating three key issues of decision hesitancy, attributes interdependency, and group attitudinal character. To elicit decision-makers’ hesitant fuzzy assessments more objectively and comprehensively, we define an expression tool called interval-valued dual hesitant fuzzy uncertain (...) unbalanced linguistic set and develop aggregation operators through its operations. To exploit attributes interdependency, we establish a synthesized attributes’ weighting model to fuse an attributes interdependency-based weighting vector and an argument-dependent weighting vector, which are, respectively, derived through Decision-Making and Trial Evaluation Laboratory technique and maximizing deviation method. To effectively utilize decision-makers’ group attitudinal characters, we also develop a TOPSIS-based method to rationally transform group ideal attitudes into order-inducing vectors. On the strength of the above methods, an integrated MADM approach is then constructed. Finally, illustrative case study and experiments are conducted to validate our approach. (shrink)

Henry David Thoreau’s discussion of the highest value of wild apples and my own reflection upon my experience, interacting with the sea and enjoying its products during my Central American upbringing, motivate this discussion of how human beings may apprehend nature’s highest worth. I propose that in order to apprehend nature’s highest value it is necessary to understand the complete transaction between human beings and nature—an active transaction that requires from the human being a continuous movement along experience, reflection, (...) and responsible action. I argue that the economic valuation of natural products—via the contemporary economic concepts of utility, use-value, existence-value, and willingness-to-pay—is insufficient to comprehend the full worth of nature because it reduces the human being-nature transaction to mere economic terms. Hence, a reading of Ralph Waldo Emerson’s Nature provides insight into the services—commodity, beauty, language, and discipline—that the human being receives, as part of the transaction, from nature. In turn, a reading of Aldo Leopold’s A Sand County Almanac complements the Emersonian position by considering the human being’s position as a member of a natural community. Finally, I propose that in order to apprehend the worth of nature, it is further necessary to move from the reflective understanding of the human being-nature transaction into necessary action, that is, into the assumption of responsibility towards nature. (shrink)

Henry David Thoreau’s discussion of the highest value of wild apples and my own reflection upon my experience, interacting with the sea and enjoying its products during my Central American upbringing, motivate this discussion of how human beings may apprehend nature’s highest worth. I propose that in order to apprehend nature’s highest value it is necessary to understand the complete transaction between human beings and nature—an active transaction that requires from the human being a continuous movement along experience, reflection, (...) and responsible action. I argue that the economic valuation of natural products—via the contemporary economic concepts of utility, use-value, existence-value, and willingness-to-pay—is insufficient to comprehend the full worth of nature because it reduces the human being-nature transaction to mere economic terms. Hence, a reading of Ralph Waldo Emerson’s Nature provides insight into the services—commodity, beauty, language, and discipline—that the human being receives, as part of the transaction, from nature. In turn, a reading of Aldo Leopold’s A Sand County Almanac complements the Emersonian position by considering the human being’s position as a member of a natural community. Finally, I propose that in order to apprehend the worth of nature, it is further necessary to move from the reflective understanding of the human being-nature transaction into necessary action, that is, into the assumption of responsibility towards nature. (shrink)

We define rational Hermite interpolants to vector-valued functions and show that, in the context of Clifford algebras, the numerator and denominator polynomials belong to a complex extension of the Lipschitz group. We also discuss the problem of constructing an algebraic representation for the generalized inverse of a vector, which is at the heart of the usual development of vector rational approximation.

This paper addresses the doubts voiced by Wigner about the physical relevance of the concept of geometrical points by exploiting some facts known to all but honored by none: Almost all real numbers are transcendental; the explicit representation of any one will require an infinite amount of physical resources. An instrument devised to measure a continuous real variable will need a continuum of internal states to achieve perfect resolution. Consequently, a laboratory instrument for measuring a continuous variable in (...) a finite time can report only a finite number of values, each of which is constrained to be a rational number. It does not matter whether the variable is classical or quantum-mechanical. Now, in von Neumann’s measurement theory (von Neumann, Mathematical Foundations of Quantum Mechanics, Princeton University Press, Princeton, [1955]), an operator A with a continuous spectrum—which has no eigenvectors—cannot be measured, but it can be approximated by operators with discrete spectra which are measurable. The measurable approximant F(A) is not canonically determined; it has to be chosen by the experimentalist. It is argued that this operator can always be chosen in such a way that Sewell’s results (Sewell in Rep. Math. Phys. 56: 271, [2005]; Sewell, Lecture given at the J.T. Lewis Memorial Conference, Dublin, [2005]) on the measurement of a hermitian operator on a finite-dimensional vector space (described in Sect. 3.2) constitute an adequate resolution of the measurement problem in this theory. From this follows our major conclusion, which is that the notion of a geometrical point is as meaningful in nonrelativistic quantum mechanics as it is in classical physics. It is necessary to be sensitive to the fact that there is a gap between theoretical and experimental physics, which reveals itself tellingly as an error inherent in the measurement of a continuous variable. (shrink)

Based on the assumption that the long-term value of a venture capital satisfies the algebraic Brownian motion, we develop a continuous-time exit model of venture capital under different exit modes, namely, initial public offering and mergers and acquisitions. The employee incentive problem is analyzed jointly with the exit decision of the firm in terms of the exit timing and the exit mode. Further, the problem of capital exit is considered from two perspectives, namely, optimal venture capital and social welfare (...) maximization, and the differences between these exit decisions are compared. Our model predicts that the timing of an IPO, the purpose of which is to maximize the utility of the capitalists, lags behind the exit timing, whose purpose is to maximize social welfare. Using a numerical analysis, this paper also proves that increasing the production efficiency, lowering the interest rates, and improving risk management can make the exit decision of venture capitalists converge with that of maximizing social welfare. (shrink)

New and recent axioms for cooperative games with transferable utilities are introduced. The non-negative player axiom requires to assign a non-negative payoff to a player that belongs to coalitions with non-negative worth only. The axiom of addition invariance on bi-partitions requires that the payoff vector recommended by a value should not be affected by an identical change in worth of both a coalition and the complementary coalition. The nullified solidarity axiom requires that if a player who becomes null weakly (...) loses from such a change, then every other player should weakly lose too. We study the consequence of imposing some of these axioms in addition to some classical axioms. It turns out that the resulting values or set of values have all in common to split efficiently the worth achieved by the grand coalition according to an exogenously given weight vector. As a result, we also obtain new characterizations of the equal division value. (shrink)

The main purpose of this article is to introduce the weighted ENSC value for cooperative transferable utility games which takes into account players’ selfishness about the payoff allocations. Similar to Shapley’s idea of a one-by-one formation of the grand coalition [Shapley ], we first provide a procedural implementation of the weighted ENSC value depending on players’ selfishness as well as their marginal contributions to the grand coalition. Second, in the spirit of the nucleolus [Schmeidler ], we prove that the (...) weighted ENSC value is obtained by lexicographically minimizing a complaint vector associated with a new complaint criterion relying on players’ selfishness. (shrink)

With the increasing growth of online shopping, businesses are intertwining to establish new shopping antecedents. Customer experience has steadily become the most important source of retailers’ long-term competitive advantage via difference. To preserve long-term and sustained consumer loyalty, retailers must continually improve the customer experiences. This study presents a framework for online retailing in a digital environment called the Online Customer Experience-Engagement Context model in the presence of value co-creation. Data was gathered from 189 people who purchased products online. For (...) additional analysis, testing the hypothesis, and model construction, SPSS 26 and Smart-PLS were used. The data was then evaluated further using descriptive statistics, path analysis, measurement, and structural model. The findings show that the online customer experience substantially influenced customer engagement, which improved customer loyalty. The VCC strengthened the link between online customer experience and customer engagement. It suggests that including consumers in co-creating a delightful online customer experience from time to time may be a valuable strategy for online retailers to increase customer engagement and loyalty. To create an overarching outcome, information integration theory, multi-attribute utility theory, and the attitude-behavior-context theory theories are converged to explain the proposed model in the study. (shrink)

We present our method for tackling a legal case retrieval task by introducing our method of encoding documents by summarizing them into continuous vector space via our phrase scoring framework utilizing deep neural networks. On the other hand, we explore the benefits from combining lexical features and latent features generated with neural networks. Our experiments show that lexical features and latent features generated with neural networks complement each other to improve the retrieval system performance. Furthermore, our experimental results (...) suggest the importance of case summarization in different aspects: using provided summaries and performing encoded summarization. Our approach achieved F1 of 65.6% and 57.6% on the experimental datasets of legal case retrieval tasks. (shrink)

Dorsey rejects Conclusion, so he believes he must reject one of the premises. He argues that the best option is to reject Premise 3. Rejecting Premise 3 entails a certain sort of discontinuity in value. So Dorsey believes he has an argument for discontinuity.

John and Curran have convincingly shown that Scanlonian contractualism is a valuable resource for evaluating pandemic response policies, and that we should reject cost–benefit analysis in favour of a contractualist framework. However, they fail to consider the part of contractualism that Scanlon constructed precisely to deal with the question of when the state can restrict individuals from making choices that are harmful to themselves and others: the value of choice view. In doing so, they leave it open for opponents of (...) lockdowns to misuse contractualism to justify mistaken policies. This is because the most powerful contractualist objections to locking down are likely to be based on the VoC. When we apply the value of choice view, we see that a lockdown policy’s justifiability depends on the extent to which particular values of choice are found to be threatened by the policy in question, and what safeguards policy-makers have put in place to increase the value of choice and protect people from the harmful consequences of lockdown. Without the VoC, it is harder to explain why lockdowns, to be non-rejectable, must have certain features. With the VoC, the case for contractualism over cost benefit analysis can be made even stronger. (shrink)

The Apaṇṇaka Sutta, one of the early recorded teachings of the Buddha, contains an argument for accepting the doctrines of karma and rebirth that Buddhist scholars claim anticipates Pascal’s wager. I call this argument the Buddha’s wager. Does it anticipate Pascal’s wager and is it a good bet? Contemporary scholars identify at least four versions of Pascal’s wager in his Pensées. This article demonstrates that the Buddha’s wager anticipates two versions of Pascal’s wager, but not its canonical form. Like Pascal’s (...) wager, the Buddha’s wager presents a decision problem between two opposing theses in an epistemic context that lacks evidence of their truth or falsity. Like Pascal, the Buddha also tries to solve this problem using dominance, superdominance or ‘superduperdominance’ reasoning. The Apaṇṇaka Sutta likely provides the earliest textual example of such reasoning. While the Buddha’s wager does not exhibit the expected utility reasoning of the best-known form of Pascal’s wager, the article suggests a reformulation that parallels Alan Hájek’s (2018) vector-value reformulation. Is it a good bet? This article argues that it is not if this means we are rationally required to accept its recommendation. This is because, while it avoids two of the major objections levelled against Pascal’s wager, it succumbs to one and has two problems of its own. (shrink)

We present here a direct elementary construction of continuous utility functions on perfectly separable totally preordered sets that does not make use of the well-known Debreu’s open gap lemma. This new construction leans on the concept of a separating countable decreasing scale. Starting from a perfectly separable totally ordered structure, we give an explicit construction of a separating countable decreasing scale, from which we show how to get a continuous utility map.

Canonical economic agents act so as to maximize a single, representative, utility function. However, there is accumulating evidence that heterogeneity in thought processes may be an important determinant of individual behavior. This paper investigates the implications of a vector-valued generalization of the Expected Utility paradigm, which permits agents either to deliberate as per Homo economics, or to act impulsively. This generalized decision theory is applied to explain the crowding-out effect, irrational educational investment decisions, persistent social inequalities, (...) the pervasive influence of non-cognitive ability on socio-economic outcomes, and the dynamic relationships between non-cognitive ability, cognitive ability, and behavioral biases. These results suggest that the generalized decision theory warrants further investigation. (shrink)

In this paper, we provide two novel expected utility theorems by suitably adjusting the independence and continuity axioms. Our first theorem characterizes expected utility preferences using weak versions of the independence axiom (with varying mixture weights) and a new weak continuity axiom. Our second theorem characterizes these preferences using weaker versions of the independence axiom (with mixture weights fixed at 1/2) and a strong topological continuity axiom. We provide useful examples to illustrate the tightness of these characterizations.

The article deals with the role and significance of value-semantic reflection concerning teachers' professional positions. The purpose of study to reveal the strategy for the implementation of upbringing technologies for solving the problems of spiritual and moral formation of subjects of education. The complex picture of systemic ideas about a person, the nonlinearity of his formation leads to attempts to simplify technological solutions, which contradicts the essence of the individual's spiritual and moral upbringing. The scientific novelty lies in the description (...) of the function of value-semantic reflection in relation to the content of the teacher's professional position. As a result, the author proposes an algorithm for the application of educational technologies based on the systemic value-semantic reflection of the teacher's professional position. (shrink)

The issue of interpersonal comparisons of utility is about the possibility (or not) of comparing the utility or welfare or the mental states in general, of different individuals. Embedded in the conceptual framework of utilitarianism, interpersonal comparisons were admissible in economics as part of the theoretical justification of welfare policies until the first decades of the twentieth century. Under the strong influence of the scientific philosophy of positivism as reflected in the works of early neoclassical economists and as (...) epitomized by Lionel Robbins, utility comparisons were subsequently rejected as a value judgement. Robbins’ methodological stance is still prevalent among mainstream economists. Despite the explicit rejection of comparability by the majority of economists, interpersonal comparisons are necessary for many key policy issues, such as progressive taxation, social welfare policies, GDP-based welfare comparisons, cost–benefit analysis, and public goods provision. In this paper, the case of interpersonal utility comparisons is discussed as an illustrative example of the usefulness of the study of the role of value judgements, and generally of the interrelationship between ethics and economics. It is argued that the current tension between theory and policy practice might be resolved through the efforts of prominent economists and philosophers to challenge positivism, and especially its problematic treatment of value judgements and of ethical assumptions in general. The discussion also provides more strength to the view that policy makers and their economic advisers cannot avoid ethical questions in their analysis of the workings of the economic system. (shrink)

[321] Over a year ago, with his essay “die klassische Werttheorie und die Theorie vom Grenznützen” [“The Classical Value Theory and the Theory of Marginal Utility ”],1 which appeared in this yearbook and in which he declared himself in favor of the rival, older value theory, which bases the value of goods on costs, Professor Dietzel inaugurated a polemic against the modern value theory of marginal utility. This attack was not an isolated case. Somewhat earlier it had been (...) started by the eminent Danish scholar Scharling in his essay, well-known to the readers of this yearbook, concerning “Werttheorien und Wertgesetze” [“Theories of Value and Laws of Value”].2 In Italy, A. Loria3 conducts it with an extraordinarily quarrelsome spirit. It is present even in France. Finally, it is right now carried on in America with particular interest and keen activity. The outbreak and the rapid spread of this controversy is not in the least surprising. It is the completely natural consequence of the scientific situation in which the theory of value presently finds itself. So long as the theory of. (shrink)

The maintenance of professional competence is a core ethical responsibility of health professionals. Continuing Education (CE) is one quality assurance mechanism that helps health professionals to...

Scale invariance provides a principled reason for the physical importance of Hilbert space, the Virasoro algebra, the string mode expansion, canonical commutators and Schrödinger evolution of states, independent of the assumptions of string theory and quantum theory. The usual properties of dimensionful fields imply an infinite, projective tower of conformal weights associated with the tangent space to scale-invariant spacetimes. Convergence and measurability on this tangent tower are guaranteed using a scale-invariant norm, restricted to conformally self-dual vectors. Maps on the resulting (...) Hilbert space are correspondingly restricted to semi-definite conformal weight. We find the maximally- and minimally-commuting, complete Lie algebras of definite-weight operators. The projective symmetry of the tower gives these algebras central charges, giving the canonical commutator and quantum Virasoro algebras, respectively. Using a continuous, m-parameter representation for rank-m tower tensors, we show that the parallel transport equation for the momentum-vector of a particle is the Schrödinger equation, while the associated definite-weight operators obey canonical commutation relations. Generalizing to the set of integral curves of general timelike, self-dual vector-valued weight maps gives a lifting such that the action of the curves parallel transports arbitrary tower vectors. We prove that the full set of Schrödinger-lifted integral curves of a general self-dual map gives an immersion of its 2-dim parameter space into spacetime, inducing a Lorentzian metric on the parameter space. This immersion is shown to satisfy the full variational equations of open string. (shrink)

Among recent objections to Pascal's Wager, two are especially compelling. The first is that decision theory, and specifically the requirement of maximizing expected utility, is incompatible with infinite utility values. The second is that even if infinite utility values are admitted, the argument of the Wager is invalid provided that we allow mixed strategies. Furthermore, Hájek has shown that reformulations of Pascal's Wager that address these criticisms inevitably lead to arguments that are philosophically unsatisfying and historically unfaithful. (...) Both the objections and Hájek's philosophical worries disappear, however, if we represent our preferences using relative utilities rather than a one-place utility function. Relative utilities provide a conservative way to make sense of infinite value that preserves the familiar equation of rationality with the maximization of expected utility. They also provide a means of investigating a broader class of problems related to the Wager. (shrink)

Value Co-Creation plays a major role in engaging knowledgeable individuals in a community via innovation, problem solving, and new service/product development. This study investigates the personal factors that influence individuals’ engagement in value co-creation in Higher Education Institutions through the use of online platforms. Some higher education institutions have successfully established or used appropriate online platforms, such as online forums, web applications, and mobile applications to engage their community in ideation or crowdsourcing as a part of the value co-creation process. (...) On the other hand, some HEIs have failed to engage their community in value co-creation activities, and even if they managed to engage some individuals in value co-creation once, they failed to sustain these individuals’ engagement in value co-creation using online platforms. Using the Stimulus Organism Response framework, this study examines the relationship between relevant personal factors and other motivational factors that provide perceived benefits with value co-creation engagement. Data was collected from 308 respondents at five Malaysian research universities. The software analysis tool Smart PLS is used for data analysis and validation. The results demonstrate that personal factors and perceived benefits as a motivational factor has a significant effect on individual engagement in value co-creation. However, the significance of these findings varies from one individual to another. The implications of these findings are discussed. (shrink)

In spite of the thousands of articles on stakeholder theory, research on value creation has had a shorter history and narrower breadth. Only a few studies have researched value creation from stakeholder perspective looking at how stakeholders appropiate value or the processes or activities by which stakeholders create value. Consequently to date, certain questions still remain unanswered regarding how a firm should treat stakeholders in order to create value. Several questions arise specifically from the stakeholder's side: What does "value" mean (...) for a particular group of stakeholders and how do firms create these different types of value? How do we measure the value created by stakeholders? The purpose of this paper is to answer these questions from Amartya Sen's Capability Approach, identifying and measuring stakeholders' capabilities in the value creation process. Stakeholder Capability is the adequate concept for understanding stakeholder welfare rather than the utility function concept. The empirical evidence comes from an in-depth case study of the company The Grobo Group and its stakeholders. According to the results, the following stakeholder capabilities are relevant to value creation: being employable, being autonomus, being innovative, being entreprenurial, being responsive, being socially integrated, being emphatic, being "green" and being healthy. (shrink)

A vigorous discussion of the value problem is under way in our philosophical publications. The problems dealt with have included: whether values exist at all; if so, what they are; what the attitude of Marxist philosophers should be toward them; and whether it is necessary at all to develop a Marxist-Leninist value theory with a distinctive set of concepts. The Symposium on Values held in Tbilisi in 1965 resulted in differing and sometimes opposite viewpoints, which were delineated most clearly. In (...) the past five years, the journals Voprosy filosofii and Filosofskie nauki have published a considerable number of articles discussing the value question ], S. I. Popov, Laszlo Sziklai, D. D. Srednii [translated in Soviet Studies in Philosophy, VIII, 1 ], and V. P. Tugarinov and A. P. Fedosova, in our journal from 1963 to 1968). (shrink)

I have four responses to make, the first three very brief and the last not much longer.On the face of it, it looks as though in attributing rights to people one is saying something about their moral position. This is so for both option-rights and welfare-rights. On H.L.A. Hart's account of rights to freedom, that is exactly what one is doing. One is asserting that those who have the right have a special kind of justification for limiting the freedom of (...) others. On Professor Brandt's view, it appears that attributing a right to someone is just an oblique way of saying something about the moral position of others, and nothing more. (shrink)

Two real-valued deduction schemes are introduced, which agree on $\vdash \triangle$ but not on $\Gamma \vdash \triangle$ , where Δ and ▵ are finite sets of formulae. Using the first scheme we axiomatize real-valued equality so that it induces metrics on the domains of appropriate structures. We use the second scheme to reduce substitutivity of equals to uniform continuity, with respect to the metric equality, of interpretations of predicates in structures. This continuity extends from predicates to arbitrary formulae (...) and the appropriate models have completions resembling analytic completions of metric spaces. We provide inference rules for the two deductions and discuss definability of each of them by means of the other. (shrink)

This article begins by revisiting the current model of values education (moral education) which has recently been set up in Australian schools. This article problematizes the pedagogical model of teaching values in the direct transmission mode from the perspective of the continuity of experience as central to the philosophies of John Dewey and Charles S. Peirce. In this context experience is to be understood as a collective (going beyond the realm of private) and continuous (importantly, non-atomistic) space. As such, (...) human behavior and decision-making are embedded in a broad range of possibilities that may become actualities in the process of responding intelligently to what is perceived in the environment. This article also brings into the conversation some contemporary discourse in bioethics and neuroscience that appears to have an uncanny affinity to Peirce's and Dewey's much earlier conceptualizations. Human intelligence proper arises in the interactions between mind, body, and the environing world: we learn from experience that necessarily has a value-element embedded in this triadic matrix. (shrink)