The Expected Shortfall or Conditional Value-at-Risk (CVaR) has been playing the role of main risk measure in the recent years and paving the way for an enormous number of applications in risk management due to its very intuitive form and important coherence properties. This work aims to explore this measure as a probability-dependent utility functional, introducing an alternative view point for its Choquet Expected Utility representation. Within this point of view, its main preference properties will be characterized and (...) its utility representation provided through local utilities with an explicit dependence on the assessed revenue’s distribution (quantile) function. Then, an intuitive interpretation for the related probability dependence and the piecewise form of such utility will be introduced on an investment pricing context, in which a CVaR maximizer agent will behave in a relativistic way based on his previous estimates of the probability function. Finally, such functional will be extended to incorporate a larger range of risk-averse attitudes and its main properties and implications will be illustrated through examples, such as the so-called Allais Paradox. (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)

We propose a framework for including information‐processing bounds in rational analyses. It is an application of bounded optimality (Russell & Subramanian, 1995) to the challenges of developing theories of mechanism and behavior. The framework is based on the idea that behaviors are generated by cognitive mechanisms that are adapted to the structure of not only the environment but also the mind and brain itself. We call the framework computational rationality to emphasize the incorporation of computational mechanism into the definition of (...) rational action. Theories are specified as optimal program problems, defined by an adaptation environment, a bounded machine, and a utility function. Such theories yield different classes of explanation, depending on the extent to which they emphasize adaptation to bounds, and adaptation to some ecology that differs from the immediate local environment. We illustrate this variation with examples from three domains: visual attention in a linguistic task, manual response ordering, and reasoning. We explore the relation of this framework to existing “levels” approaches to explanation, and to other optimality‐based modeling approaches. (shrink)

AimThe functional prognosis of patients after coma following either cardiac arrest or acute structural brain injury is often uncertain. These patients are associated with high mortality and disability. N20 and N70 somatosensory evoked potentials are used to predict prognosis. We evaluated the utility of SSEP as an early indicator of long-term prognosis in these patients.MethodsThis was a retrospective cohort study of patients admitted to the intensive care unit with a diagnosis of coma after CA or ABI. An SSEP study (...) was performed, including N20 and N70 at 24–72 h, after coma onset. Functional recovery was assessed 6–12 months later using the modified Glasgow scale. The study was approved by our local research ethics committee.ResultsIn the CA and ABI groups, the absence of N20 or N70 was a strong indicator of poor outcome. Conversely, the presence of N70 was an indicator of a good outcome.ConclusionSomatosensory evoked potentials are useful early prognostic markers with high specificity and sensitivity. Moreover, N70 has additional potential value for improving the prediction of good long-term functional outcomes.Clinical Trial Registration:[https://clinicaltrials.gov/], identifier [2018/01/001]. (shrink)

This study investigates rehabilitation team members’ interactive accomplishments of their domains of work and responsibility in rehabilitation team conferences in Japan. A combination of membership categorization analysis and sequential analysis is adopted to systematically illustrate the situated productions of professional sense-making practices. Analysis focuses on the segment in which a physician asks a series of questions regarding a patient’s functional status and disability coded in the functional assessment record (FAR). A close examination of data shows that a physician does not (...) always choose a respondent with his or her gaze when asking a question because s/he is continuously reading the FAR displayed on a computer screen. Despite this, a physician’s mention of a topic generates a professional’s domain of work and responsibility in a local division of labor which is used by members to assume who the relevant categorial respondent is. Further, members demonstrate these assumptions by shifting their gazes toward the computer screen, back to the document on the desk, and turning toward co-participants, thus embodying professional roles and responsibilities in situ. This study utilizes the analyst’s ethnographic understanding of the routines and division of labor at the rehabilitation ward as a resource to explicate professional sense-making practices, thus utilizing Garfinkel’s ethnomethodological studies of work. Together with sequential and categorial resources offered by Sacks, this study elucidates inferences and normative expectations which rehabilitation team members bring together to reproduce the endogenous logic of rehabilitation culture in actual occasions of the institutional life. (shrink)

Recent evidence on intertemporal choice suggests that decision-makers may exhibit both increasing and decreasing impatience simultaneously, called inverse-S discounting. This paper introduces trichotomic discounted utility to model inverse-S discounting. Under trichotomic discounted utility the decision-maker distinguishes between short-term delays, medium-term delays, and long-term delays. Exponential discounting holds within each category, but not necessarily across each category. We provide preference foundations for trichotomic discounted utility in the timed outcomes framework and in the consumption streams framework. The key axiom (...) is a weakening of the time consistency axiom that allows for both increasing and decreasing impatience. We also consider a weak, local version of time consistency, and show that this plausible condition is satisfied only by discount functions with exponential “pieces”. (shrink)

We present a method to characterize the preferences of a decision maker in decisions with multiple attributes. The approach modifies the outcomes of a multivariate lottery with a multivariate transformation and observes the change in the decision maker’s certain equivalent. If the certain equivalent follows this multivariate transformation, we refer to this situation as multiattribute transformation invariance, and we derive the functional form of the utility function. We then show that any additive or multiplicative utility function that is (...) formed of continuous and strictly monotonic utility functions of the individual attributes must satisfy transformation invariance with a multivariate transformation. This result provides a new interpretation for multiattribute utility functions with mutual utility independence as well as a necessary and sufficient condition that must be satisfied when assuming these widely used functional forms. We work through several examples to illustrate the approach. (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.

We analyze the expressivity, succinctness, and complexity of a family of languages based on weighted propositional formulas for the representation of utility functions. The central idea underlying this form of preference modeling is to associate numerical weights with goals specified in terms of propositional formulas, and to compute the utility value of an alternative as the sum of the weights of the goals it satisfies. We define a large number of representation languages based on this idea, each (...) characterized by a set of restrictions on the syntax of formulas and the range of weights. Our aims are threefold. First, for each language we try to identify the class of utility functions it can express. Second, when different languages can express the same class of utility functions, one may allow for a more succinct representation than another. Therefore, we analyze the relative succinctness of languages. Third, for each language we study the computational complexity of the problem of finding the most preferred alternative given a utility function expressed in that language. (shrink)

Resumen: Este trabajo tiene como objetivo mostrar que el análisis sistémico aplicado a los espacios locales facilita la generación de propuestas para su desarrollo integral en el ámbito de la sostenibilidad. Los territorios están compuestos por elementos físicos y sociales que se interrelacionan y generan productos que los benefician o perjudican. Estos recursos pueden ser explotados o encontrarse ociosos por falta de actores que los desarrollen. Reaccionan ante las acciones internas y externas tanto humanas como naturales, entre las que se (...) encuentran las políticas para el desarrollo local. Para que estas políticas sean eficientes, necesitan estudios integrales que contengan una información que muestre las deficiencias estructurales, relacionales y funcionales del territorio y, con esta información, adoptar las medidas que las corrijan. Este estudio muestra que el análisis sistémico es una herramienta útil para la elaboración de estas políticas.This paper shows how system analysis applied to local spaces facilitate the generation of proposals for integral development in the field of sustainability. Regions are composed of physical and social components generating products that benefit or harm themselves. These resources can be exploited or remained idle for lack of actors to develop them. They react to internal and external actions, both human and natural. Among these actions are the policies for local development. For these policies to be efficient, they need comprehensive studies that contain information that shows the structural, relational and functional deficiencies of the territory and, with this information, adopt the necessary political actions to correct them. This study supports system analysis as an information tool for policy-making. (shrink)

In this essay I dispute the widely held view that utility theory and decision theory are formalizations of instrumental rationality. I show that the decision theoretic framework has no deep problems accommodating the ?reasonable? qua a preference to engage in fair cooperation as such. All evaluative criteria relevant to choice can be built into a von Neumann?Morgenstern utility function. I focus on the claim that, while rational choice?driven agents are caught in the Pareto?inferior outcome, reasonable agents could ?solve? (...) the PD and cooperate. Not so, I argue. If reasonable people find themselves in PD situations they too would follow the dominant ?defect? strategy. The difference between instrumentally rational agents and those who are also reasonable is not that they would behave differently in Prisoner?s Dilemmas, but that reasonable people are more successful at avoiding the Prisoner?s Dilemma and tend to play more cooperative games. (shrink)

Numerous studies show that humans tend to be more cooperative than expected given the assumption that they are rational maximizers of personal gain. As a result, theoreticians have proposed elaborated formal representations of human decision-making, in which utility functions including “altruistic” or “moral” preferences replace the purely self-oriented "Homo economicus" function. Here we review mathematical approaches that provide insights into the mathematical stability of alternative ways of representing human decision-making in social contexts. Candidate utility functions may (...) be evaluated with help of game theory, classical modeling of social evolution that focuses on behavioral strategies, and modeling of social evolution that focuses directly on utility functions. We present the advantages of the latter form of investigation and discuss one surprisingly precise result: “Homo economicus” as well as “altruistic” utility functions are less stable than a function containing a preference for the golden rule or for the common welfare that is only expressed in social contexts composed of individuals with similar preferences. We discuss the contribution of mathematical models to our understanding of human other-oriented behavior, with a focus on the classical debate over psychological altruism. We conclude that human can be psychologically altruistic, but that psychological altruism evolved because it was generally expressed towards individuals that contributed to the actor’s fitness, such as own children, romantic partners and long term reciprocators. (shrink)

The results generated by experimentalists in psychology and economics haveled to numerous advances in the study of human decision making under risk.Camerer (1995) and Rabin (1998) provide excellent reviews of the relevantliterature. These results clearly display the gap between normative theoriesof ideal behavior and descriptive theories of observed behavior. The mostprominent result is loss aversion – the observation that a loss is given greatervalue than a gain of an equal size – and the resulting S-shaped utility function.Rabin puts the (...) key point as follows: ``Researchers have identified a pervasive feature of reference dependence: In a wide variety of domains, people are significantly more averse to losses than they are attracted to same size gains''(Rabin 1998, 13–14). In what follows, I will show that the ``wide variety of domains'' is wide indeed. In particular, I will review the effects of the S-shaped utility function on the resolution of the decision to commit a crime, to decision to violate professional ethics, and the decision to participate in a rebellion. (shrink)

In this article we explore an argumentative pattern that provides a normative justification for expected utility functions grounded on empirical evidence, showing how it worked in three different episodes of their development. The argument claims that we should prudentially maximize our expected utility since this is the criterion effectively applied by those who are considered wisest in making risky choices (be it gamblers or businessmen). Yet, to justify the adoption of this rule, it should be proven that (...) this is empirically true: i.e. that a given function allows us to predict the choices of that particular class of agents. We show how expected utility functions were introduced and contested in accordance with this pattern in the 18th century and how it recurred in the 1950s when Allais made his case against the neo-Bernoullians. (shrink)

An artificial general intelligence (AGI) might have an instrumental drive to modify its utility function to improve its ability to cooperate, bargain, promise, threaten, and resist and engage in blackmail. Such an AGI would necessarily have a utility function that was at least partially observable and that was influenced by how other agents chose to interact with it. This instrumental drive would conflict with the strong orthogonality thesis since the modifications would be influenced by the AGI’s intelligence. AGIs (...) in highly competitive environments might converge to having nearly the same utility function, one optimized to favorably influencing other agents through game theory. Nothing in our analysis weakens arguments concerning the risks of AGI. (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)

We provide an economic interpretation of the practice consisting in incorporating risk measures as constraints in an expected prospect maximization problem. For what we call the infimum of expectations class of risk measures, we show that if the decision maker (DM) maximizes the expectation of a random prospect under constraint that the risk measure is bounded above, he then behaves as a “generalized expected utility maximizer” in the following sense. The DM exhibits ambiguity with respect to a family of (...) utility functions defined on a larger set of decisions than the original one; he adopts pessimism and performs first a minimization of expected utility over this family, then performs a maximization over a new decisions set. This economic behaviour is called “maxmin under risk” and studied by Maccheroni (Econ Theory 19:823–831, 2002). As an application, we make the link between an expected prospect maximization problem, subject to conditional value-at-risk being less than a threshold value, and a non-expected utility economic formulation involving “loss aversion”-type utility functions. (shrink)

The classical theory of preference among monetary bets represents people as expected utility maximizers with concave utility functions. Critics of this account often rely on assumptions about preferences over wide ranges of total wealth. We derive a prediction of the theory that bears on bets at any fixed level of wealth, and test the prediction behaviorally. Our results are discrepant with the classical account. Competing theories are also examined in light of our data.

A necessary and sufficient condition for linear aggregation of SSB utility functionals is presented. Harsanyi's social aggregation theorem for von Neumann–Morgenstern utility functions is shown to be a corollary to this result. Two generalizations of Fishburn and Gehrlein's conditional linear aggregation theorem for SSB utility functionals are also established.

The term ‘communitarianism’ is often identified with ‘altruism’: an individual is taken to be communitarian-minded if he or she is concerned with the well-being of others, and not only with his or her own well-being. While communitarianism may embrace altruism, it is most appositely viewed as having a broader connotation. Consider, for example, the puzzle of voting behaviour, discussed by Amitai Etzioni and many others ). Casting one's vote entails a cost, albeit usually a small one: however, if there are (...) large numbers voting, then one's own vote has a negligible effect on the outcome. An altruist might therefore rationally refrain from voting, since he incurs a cost, and neither he nor anybody else receives a benefit. And yet, millions of people the world over regularly vote in elections. Other examples could also be given. ‘Group-oriented’ behaviour has been the focus of a number of recent studies. C. Clague, for example, examines the roles of guilt and shame in discouraging tax evasion, and informally discusses how social influences may affect the strength of these sentiments. R. Naylor and M. Cripps examine the influence of social custom on individuals' propensity to join trade unions, while P. Nelson argues that in choosing which party to vote for people assign some weight to the preferences of persons they associate with. (shrink)

This paper proposes an exploration of the methodology of utility functions that distinguishes interpretation from representation. While representation univocally assigns numbers to the entities of the domain of utility functions, interpretation relates these entities with empirically observable objects of choice. This allows us to make explicit the standard interpretation of utility functions which assumes that two objects have the same utility if and only if the individual is indifferent among them. We explore the (...) underlying assumptions of such an hypothesis and propose a non-standard interpretation according to which objects of choice have a well-defined utility although individuals may vary in the way they treat these objects in a specific context. We provide examples of such a methodological approach that may explain some reversal of preferences and suggest possible mathematical formulations for further research. (shrink)

When a risk is exchanged, the exact value for the minimum price (positive or negative) that the purchaser (investor, or insurer) is willing to pay is given by the certainty equivalent wealth level, which in turn depends on his specific utility function. When this utility function is unknown, then only a sufficient condition on the price can ever be found. This paper provides methods for calculating such a sufficient condition, when only limited information on the utility function (...) is known. (shrink)

Altruism is a popular economic explanation for a wide range of pro-social decisions and actions. It has been applied frequently in several different streams of literature, and is a descriptively compelling model of behavior. This paper provides a theoretical framework for the existence of ordinal and cardinal altruistic value functions, as well as altruistic utility functions, based on an altruistic preference relation. Representation theorems are developed to specify relatively weak conditions under which altruistic value and utility (...) functions can be shown to exist. In addition, conditions that lead to additive forms of these functions are provided. (shrink)

One of the reasons for adopting hyperbolic discounting is to explain preference reversals. Another is that this value structure suggests an elegant theory of the will. I examine the capacity of the theory to solve Newcomb's problem. In addition, I compare Ainslie's account with other procedural theories of choice that seem at least equally capable of accommodating reversals of preference.

If the currently available theories of semantic information and utility-expectation are to be applied in a satisfactory way, they must be combined with a message-processing procedure. This paper presents a model of communication within which such a procedure can be defined. In this model the sender's messages arrive over a period of time, the receiver can reject some messages and retain others, the receiver can change his mind in various ways, and the receiver can apply various evaluation functions (...) to a "usable message total". As one example of message-evaluation, a system for evaluating news-value is presented. (shrink)

A quadratic utility function is introduced in this paper to study the dynamic characteristics of Cournot duopoly game. Based on the bounded rationality mechanism, a discrete dynamical map that describes the game’s dynamic is obtained. The map possesses only one equilibrium point which is Nash point. The stability conditions for this point are analyzed. These conditions show that the point becomes unstable due to two bifurcation types that are flip and Neimark–Sacker. The synchronization property for that map is studied. (...) Through local and global analysis, some dynamics of attracting sets are investigated. This analysis gives some insights on the basis of those sets and the shape of the critical curves. It also shows some lobes found in those attracting sets which are constructed due to the origin focal point. (shrink)

Current philosophical theorizing about technical functions is mainly focused on specifying conditions under which agents are justified in ascribing functions to technical artifacts. Yet, assessing the precise explanatory relevance of such function ascriptions is, by and large, a neglected topic in the philosophy of technical artifacts and technical functions. We assess the explanatory utility of ascriptions of technical functions in the following three explanation-seeking contexts: why was artifact x produced?, why does artifact x not have (...) the expected capacity to ϕ?, how does artifact x realize its capacity to ϕ? We argue that while function ascriptions serve a mere heuristic role in the first context, they have substantial explanatory leverage in the second and third context. In addition, we assess the relevance of function ascriptions in the context of engineering redesign. Here, function ascriptions also play a relevant role: they enable normative statements of the sort that component b functions better than component a. We unpack these claims by considering philosophical theories of technical functions, in particular the ICE theory, and engineering work on function ascription and explanation. We close the paper by relating our analysis to current debates on the explanatory power of mechanistic vis-à-vis functional explanations. (shrink)

Local connectedness functions for (κ, 1)-simplified morasses, localisations of the coupling function c studied in [M96, §1], are defined and their elementary properties discussed. Several different, useful, canonical ways of arriving at the functions are examined. This analysis is then used to give explicit formulae for generalisations of the local distance functions which were defined recursively in [K00], leading to simple proofs of the principal properties of those functions. It is then extended to the (...) properties of local connectedness functions in the context of κ-M-proper forcing for sucessor κ. The functions are shown to enjoy substantial strengthenings of the properties (particularly the ∆-properties) hitherto proved for both c and for Todorcevic’s ρ-functions in the special case κ = ω1. A couple of examples of the use of local connectedness functions in consort with κ-M-proper forcing are then given. (shrink)

This paper proposes a Cournot game organized by three competing firms adopting bounded rationality. According to the marginal profit in the past time step, each firm tries to update its production using local knowledge. In this game, a firm’s preference is represented by a utility function that is derived from a constant elasticity of substitution production function. The game is modeled by a 3-dimensional discrete dynamical system. The equilibria of the system are numerically studied to detect their complex (...) characteristics due to difficulty to get an explicit form for those equilibria. For the proposed utility function, some cases with different value parameters are considered. Numerical simulations are used to provide an experimental evidence for the complex behavior of the evolution of the system. The obtained results show that the system loses its stability due to different types of bifurcations. (shrink)

Sociability is essential for modern robots to increase their acceptability in human environments. Traditional techniques use manually engineered utility functions inspired by observing pedestrian behaviors to achieve social navigation. However, social aspects of navigation are diverse, changing across different types of environments, societies, and population densities, making it unrealistic to use hand-crafted techniques in each domain. This paper presents a data-driven navigation architecture that uses state-of-the-art neural architectures, namely Conditional Neural Processes, to learn global and local controllers (...) of the mobile robot from observations. Additionally, we leverage a state-of-the-art, deep prediction mechanism to detect situations not similar to the trained ones, where reactive controllers step in to ensure safe navigation. Our results demonstrate that the proposed framework can successfully carry out navigation tasks regarding social norms in the data. Further, we showed that our system produces fewer personal-zone violations, causing less discomfort. (shrink)