Let X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{X }$$\end{document} be a set of outcomes, and let I\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{I }$$\end{document} be an infinite indexing set. This paper shows that any separable, permutation-invariant preference order \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$$$\end{document} on XI\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{X }^\mathcal{I }$$\end{document} admits an additive representation. That is: there exists a linearly ordered abelian group R\documentclass[12pt]{minimal} (...) \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{R }$$\end{document} and a ‘utility function’ u:X⟶R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$u:\mathcal{X }{{\longrightarrow }}\mathcal{R }$$\end{document} such that, for any x,y∈XI\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf{x},\mathbf{y}\in \mathcal{X }^\mathcal{I }$$\end{document} which differ in only finitely many coordinates, we have x≽y\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf{x}\succcurlyeq \mathbf{y}$$\end{document} if and only if ∑i∈Iu-u≥0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sum _{i\in \mathcal{I }} \left[u-u\right]\ge 0$$\end{document}. Importantly, and unlike almost all previous work on additive representations, this result does not require any Archimedean or continuity condition. If \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$$$\end{document} also satisfies a weak continuity condition, then the paper shows that, for anyx,y∈XI\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf{x},\mathbf{y}\in \mathcal{X }^\mathcal{I }$$\end{document}, we have x≽y\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf{x}\succcurlyeq \mathbf{y}$$\end{document} if and only if ∗∑i∈Iu≥∗∑i∈Iu\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${}^*\!\sum _{i\in \mathcal{I }} u\ge {}^*\!\sum _{i\in \mathcal{I }}u$$\end{document}. Here, ∗∑i∈Iu\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${}^*\!\sum _{i\in \mathcal{I }} u$$\end{document} represents a nonstandard sum, taking values in a linearly ordered abelian group ∗R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${}^*\!\mathcal{R }$$\end{document}, which is an ultrapower extension of R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{R }$$\end{document}. The paper also discusses several applications of these results, including infinite-horizon intertemporal choice, choice under uncertainty, variable-population social choice and games with infinite strategy spaces. (shrink)

We introduce two novel frameworks for choice under complete uncertainty. These frameworks employ intervals to represent uncertain utility attaching to outcomes. In the first framework, utility intervals arising from one act with multiple possible outcomes are aggregated via a set-based approach. In the second framework the aggregation of utility intervals employs multi-sets. On the aggregated utility intervals, we then introduce min–max decision rules and lexicographic refinements thereof. The main technical results are axiomatic characterizations of these min–max decision rules and (...) these refinements. We also briefly touch on the independence of introduced axioms. Furthermore, we show that such characterizations give rise to novel axiomatic characterizations of the well-known min–max decision rule?mnx?mnx in the classical framework of choice under complete uncertainty. (shrink)

Prior studies have shown a general preference among citizens for juries over judges. Researchers, however, have not considered whether race and ethnicity modify this preference. We hypothesized that minorities (African-Americans, Hispanics), who generally express less trust in the legal system, may also express less trust in juries than non-Hispanic whites. We asked a representative sample of 1,465 residents of Texas to state whether they would prefer a jury or a judge to be the decision maker in four hypothetical circumstances. (...) Consistent with expectations, non-Hispanic whites favored juries over judges, particularly if they imagined themselves as a defendant in a criminal trial. By comparison, although African-Americans and some Hispanics generally favored juries, they showed a much weaker set of jury preferences. African Americans had markedly lower support for the civil jury, but support was higher among minorities with prior jury service. Among Hispanics, respondents who took the survey in Spanish typically preferred a judge to make legal decisions. We consider the implications of our findings for trust in the jury system and trust in community members as decision makers. (shrink)

Objective: To measure the stability of life-sustaining treatment preferences amongst older people and analyse the factors that influence stability. Design: Longitudinal cohort study. Setting: Primary care centres, Granada (Spain). Eighty-five persons age 65 years or older. Participants filled out a questionnaire with six contexts of illness (LSPQ-e). They had to decide whether or not to receive treatment. Participants completed the questionnaire at baseline and 18 months later. Results: 86 percent of the patients did not change preferences. Sex, age, (...) marital status, hospitalisation, and self-perception of health and pain did not affect preferences. Morbidity and the death of a relative did. Conclusion: Stability of preferences of older persons in relation to end-of-life decisions seems to be more probable than instability. Some factors, such as the death of a relative or the increase in morbidity, can change preferences. These findings have implications for advance directives (ADs) and advance care planning. (shrink)

We show through analysis of personal advertisements that age preferences for a homosexual or lesbian partner are similar to differences found between men and women in age preferences for a opposite-sex partner. Such data call into question the claim by Kenrick & Keefe (1992) that the sex differences in age selectivity in mate selection are governed by reproductive strategies.

British marriage statistics suggest that women of breeding age choose young men. Women past breeding age who could still be raising children extend choices to include older men. After this, women do not marry. The choices of men over 50 are restricted to women between 40 and 55: past breeding but young enough to be raising children; the few men over 50 that marry choose women in this age range.

We consider the problem of extending a (complete) order over a set to its power set. The extension axioms we consider generate orderings over sets according to their expected utilities induced by some assignment of utilities over alternatives and probability distributions over sets. The model we propose gives a general and unified exposition of expected utility consistent extensions whilst it allows to emphasize various subtleties, the effects of which seem to be underestimated – particularly (...) in the literature on strategy-proof social choice correspondences. (shrink)

When real-valued utilities for outcomes are bounded, or when all variables are simple, it is consistent with expected utility to have preferences defined over probability distributions or lotteries. That is, under such circumstances two variables with a common probability distribution over outcomes – equivalent variables – occupy the same place in a preference ordering. However, if strict preference respects uniform, strict dominance in outcomes between variables, and if indifference between two variables entails indifference between their difference and (...) the status quo, then preferences over rich sets of unbounded variables, such as variables used in the St. Petersburg paradox, cannot preserve indifference between all pairs of equivalent variables. In such circumstances, preference is not a function only of probability and utility for outcomes. Then the preference ordering is not defined in terms of lotteries. (shrink)

This edited book examines conditionals from a number of interdisciplinary perspectives, drawing on research from fields as diverse as linguistics, psychology, philosophy and logic. Across 13 chapters, the authors not only investigate and examine various commonly-held perceptions about conditionals, but they also challenge many of the assumptions underpinning current conditionals scholarship, setting an agenda for future research. Based in part on the papers presented at a unique international summer school - Conditionals in Paris - this volume represents the cutting edge (...) in the study of conditionals, and it will be of interest to scholars in fields including linguistics and psychology, semiotics, philosophy and logic, and artificial intelligence. (shrink)

A general format is introduced for deriving preferences over states of affairs from preferences over a set of contextually complete alternatives. Formal results are given both for this general format and for a specific instance of it that is a plausible explication of ceteris paribus preference.

We present an axiomatic model of preferences over menus that is motivated by three assumptions. First, the decision maker is uncertain ex ante (i.e., at the time of choosing a menu) about her ex post (i.e., at the time of choosing an option within her chosen menu) preferences over options, and she anticipates that this subjective uncertainty will not resolve before the ex post stage. Second, she is averse to ex post indecisiveness (i.e., to having to (...) choose between options that she cannot rank with certainty). Third, when evaluating a menu she discards options that are dominated (i.e., inferior to another option whatever her ex post preferences may be) and restricts attention to the undominated ones. Under these assumptions, the decision maker has a preference for commitment in the sense of preferring menus with fewer undominated alternatives. We derive a representation in which the decision maker’s uncertainty about her ex post preferences is captured by means of a subjective state space, which in turn determines which options are undominated in a given menu, and in which the decision maker fears, whenever indecisive, to choose an option that will turn out to be the worst (undominated) one according to the realization of her ex post preferences. (shrink)

A paramount, yet unresolved issue in personalised medicine is that of automated reasoning with clinical guidelines in multimorbidity settings. This entails enabling machines to use computerised generic clinical guideline recommendations and patient-specific information to yield patient-tailored recommendations where interactions arising due to multimorbidities are resolved. This problem is further complicated by patient management desiderata, in particular the need to account for patient-centric goals as well as preferences of various parties involved. We propose to solve this problem of automated reasoning (...) with interacting guideline recommendations in the context of a given patient by means of computational argumentation. In particular, we advance a structured argumentation formalism ABA+G (short for Assumption-Based Argumentation with Preferences (ABA+) and Goals) for integrating and reasoning with information about recommendations, interactions, patient’s state, preferences and prioritised goals. ABA+G combines assumption-based reasoning with preferences and goal-driven selection among reasoning outcomes. Specifically, we assume defeasible applicability of guideline recommendations with the general goal of patient well-being, resolve interactions (conflicts and otherwise undesirable situations) among recommendations based on the state and preferences of the patient, and employ patient-centered goals to suggest interaction-resolving, goal-importance maximising and preference-adhering recommendations. We use a well-established Transition-based Medical Recommendation model for representing guideline recommendations and identifying interactions thereof, and map the components in question, together with the given patient’s state, prioritised goals, and preferences over actions, to ABA+G for automated reasoning. In this, we follow principles of patient management and establish corresponding theoretical properties as well as illustrate our approach in realistic personalised clinical reasoning scenaria. (shrink)

In my comments on Mr. Pell’s paper, I consider the premises of his argument against diversity affirmative action showing how these premises can be either reasonably rejected or reformulated so that what remains from his argument is a set of premises that supports, or at least is consistent with, a defense of diversity affirmative action.

This article discusses approaches to the problem of the number of preference orderings that can be constructed from a given set of alternatives. After briefly reviewing the prevalent approach to this problem, which involves determining a partitioning of the alternatives and then a permutation of the partitions, this article explains a recursive approach and shows it to have certain advantages over the partitioning one.

We consider the extension of a (strict) preference over a set to its power set. Elements of the power set are non-resolute outcomes. The final outcome is determined by an “(external) chooser” which is a resolute choice function. The individual whose preference is under consideration confronts a set of resolute choice functions which reflects the possible behaviors of the chooser. Every such set naturally induces an extension axiom (i.e., a rule that determines how an individual with a given preference (...) over alternatives is required to rank certain sets). Our model allows to revisit various extension axioms of the literature. Interestingly, the Gärdenfors (1976) and Kelly (1977) principles are singled-out as the only two extension axioms compatible with the non-resolute outcome interpretation. (shrink)

Agents which perform inferences on the basis of unreliable information need an ability to revise their beliefs if they discover an inconsistency. Such a belief revision algorithm ideally should be rational, should respect any preference ordering over the agent’s beliefs (removing less preferred beliefs where possible) and should be fast. However, while standard approaches to rational belief revision for classical reasoners allow preferences to be taken into account, they typically have quite high complexity. In this paper, we consider (...) belief revision for agents which reason in a simpler logic than full first-order logic, namely rule-based reasoners. We show that it is possible to define a contraction operation for rule-based reasoners, which we call McAllester contraction, which satisfies all the basic Alchourrón, Gärdenfors and Makinson (AGM) postulates for contraction (apart from the recovery postulate) and at the same time can be computed in polynomial time. We prove a representation theorem for McAllester contraction with respect to the basic AGM postulates (minus recovery), and two additional postulates. We then show that our contraction operation removes a set of beliefs which is least preferred, with respect to a natural interpretation of preference. Finally, we show how McAllester contraction can be used to define a revision operation which is also polynomial time, and prove a representation theorem for the revision operation. (shrink)

Models of choice over menus aim at capturing the effect of some behavioral or non-standard element of decision-making on the behavior of a single decision-maker. These models are usually compared with the standard model of choice over menus, in which the decision-maker chooses a menu whose best item is better than that of all other available ones. However, in many empirical settings such as experimental studies, choice data come from a population of decision-makers with possibly heterogeneous attitudes and (...) tastes. This heterogeneity can make the observed choices over menus stochastic. This fact calls for a stochastic characterization of models of choice over menus to be able to better compare and contrast different models empirically. In this paper, I do this task for the standard model, which would be an extension of the random utility model to the realm of choice over menus. In particular, I provide the necessary and sufficient conditions, i.e., axioms on choice data over menus for it to be consistent with a population of decision-makers each of whom behaves according to the standard model. The axioms that characterize the model are the axiom of revealed stochastic preferences over singletons and three rationality axioms. (shrink)

(2) Mental preferences: These describe the mental attitude of an individual toward the objects. They can be defined in contexts which do not involve actual choice. In particular, preferences can describe tastes (such as a preference for one season over another) or can refer to situations which are only hypothetical (such as the possible courses of action available to an individual were he to become Emperor of Rome) or which the individual does not fully control (such as (...) a game situation in which a player has preferences over the entire set of outcomes). (shrink)

Most of us have two strong intuitions (or sets of intuitions) in relation to fairness in health care systems that are funded by public money, whether through taxation or compulsory insurance. The first intuition is that such a system has to treat patients (and other users) fairly, equitably, impartially, justly and without discrimination. The second intuition is that doctors, nurses and other health care professionals are allowed to, and may even in some cases be obligated to give preference to (...) the interests of their particular patients or clients over the interests of other patients or clients of the system. These two intuitions are in potential conflict. One of the most obvious ways in which to ensure impartiality in a health care system is to require impartiality of all actors in the system, i.e. to give health care professionals a duty to treat everyone impartially and to deny them the ‘right’ to give their patients preferential treatment. And one of the possible side-effects of allowing individual health care professionals to give preference to ‘their clients’ is to create inequality in health care. This paper explores the conflict and proposes that it can be right to give preference to ‘your’ patients in certain circumstances. (shrink)

The ``doctrinal paradox'' or ``discursive dilemma'' shows that propositionwise majority voting over the judgments held by multiple individuals on some interconnected propositions can lead to inconsistent collective judgments on these propositions. List and Pettit (2002) have proved that this paradox illustrates a more general impossibility theorem showing that there exists no aggregation procedure that generally produces consistent collective judgments and satisfies certain minimal conditions. Although the paradox and the theorem concern the aggregation of judgments rather than preferences, they (...) invite comparison with two established results on the aggregation of preferences: the Condorcet paradox and Arrow's impossibility theorem. We may ask whether the new impossibility theorem is a special case of Arrow's theorem, or whether there are interesting disanalogies between the two results. In this paper, we compare the two theorems, and show that they are not straightforward corollaries of each other. We further suggest that, while the framework of preference aggregation can be mapped into the framework of judgment aggregation, there exists no obvious reverse mapping. Finally, we address one particular minimal condition that is used in both theorems – an independence condition – and suggest that this condition points towards a unifying property underlying both impossibility results. (shrink)

Selectional preferences have a long history in both generative and computational linguistics. However, since the publication of Resnik's dissertation in 1993, a new approach has surfaced in the computational linguistics community. This new line of research combines knowledge represented in a pre‐defined semantic class hierarchy with statistical tools including information theory, statistical modeling, and Bayesian inference. These tools are used to learn selectional preferences from examples in a corpus. Instead of simple sets of semantic classes, selectional (...) class='Hi'>preferences are viewed as probability distributions over various entities. We survey research that extends Resnik's initial work, discuss the strengths and weaknesses of each approach, and show how they together form a cohesive line of research. (shrink)

In preference aggregation a set of individuals express preferences over a set of alternatives, and these preferences have to be aggregated into a collective preference. When preferences are represented as orders, aggregation procedures are called social welfare functions. Classical results in social choice theory state that it is impossible to aggregate the preferences of a set of individuals under different natural sets of axiomatic conditions. We define a first-order language for social welfare functions and (...) we give a complete axiomatisation for this class, without having the number of individuals or alternatives specified in the language. We are able to express classical axiomatic requirements in our first-order language, giving formal axioms for three classical theorems of preference aggregation by Arrow, by Sen, and by Kirman and Sondermann. We explore to what extent such theorems can be formally derived from our axiomatisations, obtaining positive results for Sen’s Theorem and the Kirman-Sondermann Theorem. For the case of Arrow’s Theorem, which does not apply in the case of infinite societies, we have to resort to fixing the number of individuals with an additional axiom. In the long run, we hope that our approach to formalisation can serve as the basis for a fully automated proof of classical and new theorems in social choice theory. (shrink)

The article studies preferences of agents in a setting with imperfect information. For such a setting, the authors propose a new class of preferences. It is said that an agent prefers one statement over another if, among all indistinguishable worlds, the agent prefers the worlds where the first statement is true to those where the second one is true. The main technical result is a sound and complete logical system describing the interplay between a binary modality capturing (...) preferences and the knowledge modality. The proof of completeness is using a newly proposed “tumbled pairs” technique. (shrink)

Older adults prefer positive over negative information in a lab setting, compared to young adults. The extent to which OA avoid negative events or information relevant for their health and safety is not clear. We first investigated age differences in preferences for fear-enhancing vs. fear-reducing news articles during the Ebola Outbreak of 2014. We were able to collect data from 15 YA and 13 OA during this acute health event. Compared to YA, OA were more likely to read (...) the fear-enhancing article, select hand-sanitizer over lip balm, and reported greater fear of Ebola. We further investigated our research question during the COVID-19 pandemic with 164 YA and 171 OA. Participants responded to an online survey about the COVID-19 pandemic across 13 days during the initial peak of the pandemic in the United States. Both YA and OA preferred to read positive over negative news about the coronavirus, but OA were even more likely than YA to prefer the positive news article. No age differences in the fear of contraction were found, but OA engaged in more health-protective behaviors compared to YA. Although OA may not always report greater fear than YA or seek out negative information related to a health concern, they still engage in protective health behaviors. Thus, although positivity effects were observed in attention and emotional reports, OA still modified their behaviors more than YA, suggesting that positivity effects did not hamper OA ability to respond to a health crisis. (shrink)

Whereas the literature on choice overload has shown that people tend to defer their choice or experience less satisfaction under choice proliferation, this paper aims to test how the profusion of choice directly affects individuals’ revealed preferences over options. To do so, we run an experiment where subjects have to compare familiar and unfamiliar options under different choice contexts. We hypothesize that, as the choice set expands, the decisions become harder and more costly and subjects may find familiar (...) items relatively more attractive. Our results provide clear evidence of set size dependence of revealed preferences: Subjects prefer familiar items more frequently in larger choice sets. This evidence is robust to a number of experimental variations and statistical controls. (shrink)

We propose an axiomatization of aversion to incomplete preferences. Some prevailing models of incomplete preferences rely on the hypothesis that incompleteness is temporary and that by keeping their opportunity set open individuals reveal a preference for flexibility. We consider that the maintenance of incomplete preference is also aversive. Our model allows us to show how incompleteness induces an aversive attitude in two different ways: intrinsic and instrumental. Intrinsic aversion holds when one instance of incomplete preference in the set (...) suffices to decrease its utility. Instrumental aversion holds only insofar dominating options are affected by incompleteness. Given two partially overlapping sets of axioms on the binary relation over sets we formalize their consistency with the two types of aversion to incompleteness. Finally, we relate our model to the classical Sen’s distinction between tentative and assertive incompleteness. The spelling out of this distinction in the terms of our approach uncovers to what extent aversion to incompleteness may be compatible with a preference for flexibility. (shrink)

This study investigates the pattern of institutional shareholding in the U.K. and its relationship with socially responsible behavior by companies within a sample of over 500 UK companies. We estimate a set of ownership models that distinguish between long- and short-term investors and their largest components and which incorporate both aggregated and disaggregated measures of corporate social performance (CSP). The results suggest that long-term institutional investment is positively related to CSP providing further support for earlier studies by Johnson and (...) Greening (1999, Academy of Management Journal 42, 564–576) and Graves and Waddock (1994, Academy of Management Journal 37, 1034–1046). Disaggregation of CSP into its constituent components suggests that the pattern of institutional investment is also related to the form which CSP takes. Investigation of the impact of investment screens on the selection of stocks suggests that long-term institutional investors select primarily through exclusion, rejecting those firms which have the worst CSP. (shrink)

This note is a generalization and improved interpretation of the main result of Karni and Schmeidler. A decision-maker is supposed to possess a preference relation on acts and another preference relation on state-prize lotteries, both of which are assumed to satisfy the von Neumann–Morgenstern axioms. In addition, the two preference relations restricted to a state of nature are assumed to agree. We show that these axioms are necessary and sufficient for the existence of subjective expected utility over acts with (...) state-dependent utility functions and a subjective probability measure. This subjective probability measure is unique when conditioned on the set of states of nature in which not all the prizes are equally desirable. (shrink)

Fertility treatment enables involuntary childless people to have genetically related children, something that, for many, is a valuable life project. In this paper, I respond to two sets of objections that have been raised against expanding state-funded fertility treatment provision for existing treatments, such as in vitro fertilisation (IVF), and against funding new treatments, such as uterine transplantation (UTx). Following McTernan, I refer to the first set of objections as the ‘one good among many’ objection. It purports that it (...) is unjustifiable for the state to prioritise the funding of the life project of becoming a parent through fertility treatment provision over the funding of other life projects that people might have. Following Lotz, I refer to the second set of objections as the ‘norm-legitimation’ objection. It maintains that the provision of costly forms of fertility treatment, such as UTx, would legitimise problematic social norms concerning genetic relatedness, reproduction and parenting, and that states should not engage in such a legitimation. In response to these objections, I defend the view that (reproductive) preferences ought to be taken more seriously when discussing fertility treatment provision and parental projects, and that not doing so can be costly, especially for women. The approach defended in this paper seeks to avoid disregarding and policing preferences and to reconcile their fulfilment with political projects aimed at improving the material and social conditions of sub-fertile people: people who, for social or biological reasons (or an intersection of the two), are unable to reproduce unassisted. (shrink)

-/- This unique book develops an operational approach to preference and rationality as the author employs operators over binary relations to capture the concept of rationality. -/- A preference is a basis of individual behavior and social judgment and is mathematically regarded as a binary relation on the set of alternatives. Traditionally, an individual/social preference is assumed to satisfy completeness and transitivity. However, each of the two conditions is often considered to be too demanding; and then, weaker rationality conditions (...) are introduced by researchers. This book argues that the preference rationality conditions can be captured mathematically by “operators,” which are mappings from the set of operators to itself. This operational approach nests traditional concepts in individual/social decision theory and clarifies the underlying formal structure of preference rationality. -/- The author also applies his approach to welfare economics. The core problem of ‘new welfare economics,’ developed by Kaldor, Hicks, and Samuelson, is the rationality of social preference. In this book the author translates the social criteria proposed by those three economists into operational forms, which provide new insights into welfare economics extending beyond ‘new welfare economics.’ . (shrink)

In this paper, we argue that our moral concern for future well-being should reduce over time due to important practical considerations about how humans interact with spacetime. After surveying several of these considerations (around equality, special duties, existential contingency, and overlapping moral concern) we develop a set of core principles that can both explain their moral significance and highlight why this is inherently bound up with our relationship with spacetime. These relate to the equitable distribution of (1) moral concern (...) in a universe that we can only causally affect in one temporal direction; (2) access to the benefits from using spacetime as a resource; and (3) the burdens of care given (1) and (2). We conclude by considering the practical implications of our argument and find that, while it is often assumed that a preference for present over future well-being weakens the case for existential risk mitigation, this likely is not the case. (shrink)

To be an autonomous agent is to determine one’s own path in life. However, this cannot plausibly be seen as a one-off affair. An autonomous agent does not merely set herself on a particular course and then lock the steering wheel in place, so to speak, but must maintain some form of ongoing control over her direction in life—must keep her eyes on the road and her hands on the wheel. Circumstances often change in important and unexpected ways, after (...) all, and it is reasonable to think that a crucial part of autonomy consists of the ability and disposition to recognize and properly respond to such changes. This implies, I contend, that a patient whose initial decision to undergo a given treatment satisfied plausible requirements of autonomy, but who is now unable to recognize that available evidence indicates the need to reconsider her medical situation and options has come to lack autonomy with respect to her desire to continue that treatment. However, and despite its importance with respect to both theoretical understandings of autonomy and applications of the concept to clinical ethics, this ongoing aspect of autonomy has received little attention. This paper aims to go some way toward remedying that. I first critically review two of the few theories of autonomy that do address “evidence-responsiveness” so as to identify and elaborate what I take to be the most promising way in which to account for this aspect of autonomy. After considering and responding to a possible objection to the evidence-responsiveness condition I propose, I conclude by discussing its clinical implications. That condition, I argue, is not merely theoretically sound, but can and should be applied to clinical practice. (shrink)

Both Protestant theologians and “preference” economists believe that freedom is necessary for moral action, but such theologians and economists have seemingly irreconcilable accounts of freedom and, thus also, morality. Instead of learning from each other, they typically ignore each other or claim that one field reigns supreme over the other. This essay digs into the theological and economic traditions of each side to find points of similarity between them. It engages Adam Smith and Ernst Troeltsch to develop a view (...) of “ethical freedom” that pulls together the “libertarian freedom” emphasized by preference economics and the “egalitarian freedom” emphasized in much Protestant theology. The three-part view of freedom draws the disciplines together and opens possibilities for a more robust theory of moral action. (shrink)

Social choice rules are often evaluated and compared by inquiring whether they satisfy certain desirable criteria such as the Condorcet criterion, which states that an alternative should always be chosen when more than half of the voters prefer it over any other alternative. Many of these criteria can be formulated in terms of choice sets that single out reasonable alternatives based on the preferences of the voters. In this paper, we consider choice sets whose definition merely (...) relies on the pairwise majority relation. These sets include the Copeland set, the Smith set, the Schwartz set, von Neumann-Morgenstern stable sets, the Banks set, and the Slater set. We investigate the relationships between these sets and completely characterize their computational complexity, which allows us to obtain hardness results for entire classes of social choice rules. (shrink)

Rapid Ethical Assessment is an approach used to design context tailored consent process for voluntary participation of participants in research including human subjects. There is, however, limited evidence on the design of ethical assessment in studies targeting cancer patients in Ethiopia. REA was conducted to explore factors that influence the informed consent process among female cancer patients recruited for longitudinal research from Addis Ababa Population-based Cancer Registry. Qualitative study employing rapid ethnographic approach was conducted from May–July, 2017, at the Tikur (...) Anbessa Specialized Referral Hospital. In-depth and key informants’ interviews were conducted among purposively selected 16 participants. Regular de-briefings among the study team helped to identify emerging themes and ensure saturation. Interviews and debriefings were tape recorded in Amharic, and transcribed and translated to English. Coding of the transcripts was facilitated by use of NVivo software. Thematic analysis was employed to respond to the initial questions and interpret findings. Perceived barriers to voluntary study participation included lack of reporting back study results of previous studies, the decision making status of women, hopelessness or fatigue in the patients, shyness of the women, data collectors approach to the patient, and patient’s time constraints. Most of the patients preferred oral over written consent and face-to-face interview over telephone interview. Provision of detail information about the study, using short and understandable tool, competent, compassionate and respectful enumerators of the same gender were suggested to assure participation. Due to the perceived severity, the use of the term “cancer” was associated with fear and anxiety. Alternatively, uses of phrases like “breast or cervical illness/disease” were suggested during patient interviews. Voluntary participation is not straight forward but affected by different factors. Using competent, compassionate and respectful enumerators, short and precise questioning tools to limit the time of the interview could improve voluntary participation. Moreover, careful consideration of the patients and families concept of the disease such as wording and information has to be taken into account. This assessment helped in improving the consent process of the ongoing project on breast and cervical cancer patients. (shrink)

This paper shows how the classical finite probability theory (with equiprobable outcomes) can be reinterpreted and recast as the quantum probability calculus of a pedagogical or toy model of quantum mechanics over sets (QM/sets). There have been several previous attempts to develop a quantum-like model with the base field of ℂ replaced by ℤ₂. Since there are no inner products on vector spaces over finite fields, the problem is to define the Dirac brackets and the probability (...) calculus. The previous attempts all required the brackets to take values in ℤ₂. But the usual QM brackets <ψ|ϕ> give the "overlap" between states ψ and ϕ, so for subsets S,T⊆U, the natural definition is <S|T>=|S∩T| (taking values in the natural numbers). This allows QM/sets to be developed with a full probability calculus that turns out to be a non-commutative extension of classical Laplace-Boole finite probability theory. The pedagogical model is illustrated by giving simple treatments of the indeterminacy principle, the double-slit experiment, Bell's Theorem, and identical particles in QM/Sets. A more technical appendix explains the mathematics behind carrying some vector space structures between QM over ℂ and QM/Sets over ℤ₂. (shrink)

Temporal logic is one of the many areas in which a possible world semantics is adopted. Prior's Ockhamist and Peircean semantics for branching-time, though, depart from the genuine Kripke semantics in that they involve a quantification over histories, which is a second-order quantification over sets of possible worlds. In the paper, variants of the original Prior's semantics will be considered and it will be shown that all of them can be viewed as first-order counterparts of the original (...) semantics. (shrink)

Bermúdez claims that agents think about framed outcomes, not outcomes themselves; and that seemingly incoherent preferences can be rational, once defined over framed outcomes. However, the agents in his examples know that alternative frames describe the same outcome, neutrally understood. This undermines the restriction of their preferences to framed outcomes and, in turn, the argument for rational framing effects.

In ‘Le puits et la pyramide’, Jacques Derrida critiques the way in which Hegel privileges speech over writing atEncyclopedia§459. He traces that privileging back to Hegel's teleologically motivated view of time as the sublation of space, which he takes in turn to be motivated by Hegel's concern, as a metaphysical thinker, for validating and securing the philosophical dream of “full presence”. This, on Hegelian terms, involves subjecting the “materiality” of space to the “ideality” of time.Perhaps surprisingly, Hegel himself openly (...) concedes Derrida's first two points. By limiting his discussion of language in theEncyclopediato consideration of its function as a vehicle for the expression of representations, Hegel requires himself to discuss the relative merits of spoken and written utterances, an issue which he then argues out in favour of the former. Within the written domain, alphabetic and hieroglyphic writing must also be compared, and it is hardly astonishing that Hegel should view the key contrast between the two as that of the temporality inherent in alphabetic speech, which captures sound, as opposed to the spatiality of hieroglyphics, which exist only as inscriptions.Hegel's privileging of speech over writing is thus no mere slip; it is a whole set of consciously elaborated arguments, undertaken for specifically stated reasons. This casts doubt on the third of Derrida's points above: is Derrida mistaking the purpose of a specific discussion for the motivating force of teleology in general? Is Hegel's openly conceded privileging of spoken over written language justified by something other than a teleology dictated by an unexamined metaphysical preference for “full presence”? (shrink)

We prove a representation theorem for preference relations over countably infinite lotteries that satisfy a generalized form of the Independence axiom, without assuming Continuity. The representing space consists of lexicographically ordered transfinite sequences of bounded real numbers. This result is generalized to preference orders on abstract superconvex spaces.

The aggregation of individual judgments on logically connected issues often leads to collective inconsistency. This study examines two collective decision-making procedures designed to avoid such inconsistency—one premise-based and the other conclusion-based. While the relative desirability of the two procedures has been studied extensively from a theoretical perspective, the preference of individuals regarding the two procedures has been less studied empirically. In the present study, a scenario-based questionnaire survey of participant preferences for the two procedures was conducted, taking into consideration (...) prevailing social norms in the society to which the participants belong and the heterogeneity of the participants’ past experiences. Results show that a minority opinion not matching a prevailing social norm is more likely to be supported when the conclusion-based procedure is used. This can be explained by a basic property of the conclusion-based procedure: The procedure does not require voters to reveal their reasons for reaching a particular conclusion. This property proves appealing for participants who have a minority opinion. Such a finding is highly relevant to future studies on strategic behaviors in choosing a collective decision-making procedure. (shrink)

Experimental evidence suggests that individual consumption has not only personal value but also enters the social part of the utility. Existing models of social preferences make ad hoc parametric assumptions about the nature of this duality. This creates a problem of experimental identification of preferences since without such assumptions it is impossible to distinguish whether consumption or social concerns are driving the behavior. Given observed choice, the Axiomatic model of preferences in this article makes it possible to (...) unambiguously determine personal and social utility without any assumptions about their relationship. The unique separation can be achieved only if the individual choices in different subgroups of other people are available. Preferences over consumption and status are used as an example to demonstrate how the utility is constructed. The model shows what kind of information about choice is needed to empirically determine the nature of social preferences without making restrictive assumptions. This can help to estimate whether personal consumption or social value is more important in economic decisions. (shrink)

Fair priority setting is based on morally sound criteria. Still, there will be cases when these criteria, our primary considerations, are tied and therefore do not help us in choosing one allocation over another. It is sometimes suggested that such cases can be handled by tiebreakers. In this paper, we discuss two versions of tiebreakers suggested in the literature. One version is to preserve fairness or impartiality by holding a lottery. The other version is to allow secondary considerations, considerations (...) that are not part of our primary priority setting criteria, to be decisive. We argue that the argument for preserving impartiality by holding a lottery is sound, while the argument for using tiebreakers as secondary considerations is not. Finally, we argue that the instances where a tiebreaker seems necessary are precisely the situations where we have strong reasons for preferring a lottery. We conclude that factors that we consider valuable should all be included among the primary considerations, while ties should be settled by lotteries. (shrink)

While euthanasia and assisted suicide have been the subject of continuing public debate, few studies have examined the attitudes of relevant patient groups. This study systematically reviews the research literature on patients’ attitudes from 1989 to 2003, to i) identify the number of studies, ii) evaluate study methods and measures, and iii) examine prevalence of favourable attitudes. A systematic search was undertaken across five databases. Methods of the 21 studies identified varied considerably. General support for euthanasia and assisted suicide was (...) substantial across patient groups, with lower support for these as a personal option. The cancer / terminally ill / palliative care patient group had the lowest median general support for euthanasia (60% [IQ1=47, IQ3=65]) and assisted suicide (50% [IQ1=38, IQ3=71]), while the general/older/younger patient group had the lowest median personal preference for these (18% [IQ1=14, IQ3=27]). The effect of question context on level of support was unclear, due to the variety and number of contexts used across questions. There is still work that needs to be done in this controversial area before any robust conclusions can be made concerning the attitudes of patients to euthanasia and assisted suicide, and the adoption of a minimum set of standard questions would enhance this work. (shrink)

Writing a history of ancient Greece, in periods of political turbulence and transition, involved the construction of an edifying platform for civil conduct. Britain, 1770-1850, was one such period. In examining Athenian democracy the British historians of the late eighteenth century, like William Mitford and John Gillies, found a convenient channel to articulate their private political preferences and antipathies, thereby accentuating the ideological antagonism of the post-revolutionary age. Athenian liberalism was deliberately drawn from oblivion only to be set as (...) a constitutional example to avoid, whereas the merits of the mixed British constitution were distinctly exposed. The British Utilitarians, by contrast, produced a case on behalf of representative government that included the basic characteristics of democracy and which witnessed its minimum prototype in ancient Athens. George Grote assumed the task of upsetting the conventional idea of Athens, thus perpetuating the typical association of Greek historiography with contemporary political discussion. (shrink)