Utility

This paper presents a new kind of problem in the ethics of distribution. The problem takes the form of several "calibration dilemmas," in which intuitively reasonable aversion to small-stakes inequalities requires leading theories of distribution to recommend intuitively unreasonable aversion to large-stakes inequalities—e.g., inequalities in which half the population would gain an arbitrarily large quantity of well-being or resources. We first lay out a series of such dilemmas for a family of broadly prioritarian theories. We then consider a widely endorsed (...) family of egalitarian views and show that, despite avoiding the dilemmas for prioritarianism, they are subject to even more forceful calibration dilemmas. We then show how our results challenge common utilitarian accounts of the badness of inequalities in resources (e.g., wealth inequality). These dilemmas leave us with a few options, all of which we find unpalatable. We conclude by laying out these options and suggesting avenues for further research. (shrink)

The best justification of time-discounting is roughly that it is rational to care less about your more distant future because there is less of you around to have it. I argue that the standard version of this argument, which treats both psychological continuity and psychological connectedness as reasons to care about your future, can only rationalize an irrational—because exploitable—form of future discounting.

This book is divided into 4 chapters. In Chapters 1 and 2, I address (1) how to acquire rational belief attitudes and (2) how to make rational choices. Building on Chapters 1 and 2, I then answer two of the most pressing questions of our time: (3) Should you be skeptical of climate change? (4) Should you invest in life-extension medical research?

In late-nineteenth-century economics, there was an epoch-defining shift from the labour theory of value to the marginal utility theory of value. According to the latter, the economic value of some circumstance (obtaining some good, some service, and so on) is its subjective utility at the margin. Thus, while there is an absolute sense in which I prefer having water to having diamonds, at the present moment I value one more unit of diamonds more than I value one more unit of (...) water. That is why I am willing to pay a higher price for a bowl of diamonds than a bowl of water of the same size, even though water is ‘more valuable’ in a sense. While the marginalists resolved a large array of anomalies that had troubled the labour theory of value, they also believed that utility should be measurable if their theory was to be scientifically respectable. Taking this shift as his starting point, Ivan Moscati has provided a well-written, thorough, and insightful account of the history of utility measurement from 1870 to 1985. (shrink)

Preference relations are intensively studied in Economics, but they are also approached in AI, Knowledge Representation, and Conceptual Modelling, as they provide a key concept in a variety of domains of application. In this paper, we propose an ontological foundation of preference relations to formalise their essential aspects across domains. Firstly, we shall discuss what is the ontological status of the relata of a preference relation. Secondly, we investigate the place of preference relations within a rich taxonomy of relations (e.g. (...) we ask whether they are internal or external, essential or contingent, descriptive or nondescriptive relations). Finally, we provide an ontological modelling of preference relation as a module of a foundational (or upper) ontology (viz. OntoUML). The aim of this paper is to provide a sharable foundational theory of preference relation that foster interoperability across the heterogeneous domains of application of preference relations. (shrink)

In this paper, I examine the decision-theoretic status of risk attitudes. I start by providing evidence showing that the risk attitude concepts do not play a major role in the axiomatic analysis of the classic models of decision-making under risk. This can be interpreted as reflecting the neutrality of these models between the possible risk attitudes. My central claim, however, is that such neutrality needs to be qualified and the axiomatic relevance of risk attitudes needs to be re-evaluated accordingly. Specifically, (...) I highlight the importance of the conditional variation and the strengthening of risk attitudes, and I explain why they establish the axiomatic significance of the risk attitude concepts. I also present several questions for future research regarding the strengthening of risk attitudes. (shrink)

This work has proved to be the secret classic of pedagogy. Fellmann argues for the transition from the strict Kantian ethics to the utilitarian-based art of living. This is presented in five steps: The class asks the instructor unexpected questions; how the instructor can address the fascination with evil and utility; the desire for morality and the metamorphoses of hedonism; even in morality, nothing is as successful as success; a field trip experiences a shipwreck, the social foundations of morality.

Savage's framework of subjective preference among acts provides a paradigmatic derivation of rational subjective probabilities within a more general theory of rational decisions. The system is based on a set of possible states of the world, and on acts, which are functions that assign to each state a consequence€. The representation theorem states that the given preference between acts is determined by their expected utilities, based on uniquely determined probabilities (assigned to sets of states), and numeric utilities assigned to consequences. (...) Savage's derivation, however, is based on a highly problematic well-known assumption not included among his postulates: for any consequence of an act in some state, there is a "constant act" which has that consequence in all states. This ability to transfer consequences from state to state is, in many cases, miraculous -- including simple scenarios suggested by Savage as natural cases for applying his theory. We propose a simplification of the system, which yields the representation theorem without the constant act assumption. We need only postulates P1-P6. This is done at the cost of reducing the set of acts included in the setup. The reduction excludes certain theoretical infinitary scenarios, but includes the scenarios that should be handled by a system that models human decisions. (shrink)

I present a decision problem in which orthodox causal decision theory appears to violate weak versions of the independence of irrelevant alternatives (IIA) and normal-form extensive-form equivalence (NEE). I show that these violations lead to exploitable behavior and long-run poverty. These consequences appear damning, but I urge caution. Causalists can dispute the charge that they violate IIA and NEE in this case by carefully specifying when two options in different decision problems are similar enough to be counted as the same.

Some people have supposed that utility is good in itself, non-in-strumentally good, as distinct from good because conducive to other good things. And in modern versions of this view, utility often means want-satisfaction, as distinct from pleasure or happiness. For your want that p to be satisfied, is it necessary that you know or believe that p, or sufficient merely that p is true? However that question is answered, there are problems with the view that want-satisfaction is a non-instrumental good. (...) What if you want something only because you have a false belief? What if the time at which you want that p is fifty or five hundred years before the time to which p itself refers? To meet these difficulties, qualifications have to be introduced, and much has been written about how exactly these qualifications are to be framed.1 There is however what may be a rather more serious objection to the view that want-satisfaction is a non-instrumental good, or rather to the combination of that view with the principle that it is sufficient for your want that p to be satisfied simply that p is true. The objection is that this combination forces you to give undue weight to the mere acquisition of desires when you come to make judgements about changes in the value of things. It forces you to say that for any true proposition p, which initially you do not want to be true, your mere acquisition of a desire that p will, other things being equal, make the world better. Non-instrumental value can be increased merely by multiplying desires, even though everything else remains the same. Surely, however, improving the world is not as easy as that. (shrink)

David Hume, Adam Smith, Jeremy Bentham and John Stuart Mill are often viewed as contributors to or participants in a common tradition of thought roughly characterized as ‘the liberal tradition’ or the tradition of ‘bourgeois ideology’. This view, however useful it may be for polemical or proselytizing purposes, is in some important respects historiographically unsound. This is not to deny the importance of asking what twentieth-century liberals or conservatives might find in the works of, say, David Hume to support their (...) respective ideological persuasions. It is only to insist that attempts to use selected arguments, or parts of arguments, from great eighteenth-century thinkers to shore up twentieth-century programmatic political positions must be categorically distinguished from attempts to understand what Hume, Smith, Bentham or Mill actually meant, or could imaginably have meant, to say. (shrink)

The article sets out to reconstruct the ongoing re-discussion of role of morality in the economic subsystem. Traditional dichotomies between selfishness and benevolence, individual and collective interest, equality and efficiency have been shown to need more cautious reformulation. The claim is that, rather than taking sides for or against the reasons of ‘man’ or ‘solidarity’ against alleged reasons of the economy or the market, what is required is better understanding of the ways economies and markets work.

Utility discounting in intertemporal economic modelling has been viewed as problematic, both for descriptive and normative reasons. However, positive utility discount rates can be defended normatively; in particular, it is rational for future utility to be discounted to take into account model-independent outcomes when decision-making under risk. The resultant values will tend to be smaller than descriptive rates under most probability assignments. This also allows us to address some objections that intertemporal considerations will be overdemanding. A principle for utility discount (...) rates is suggested which is rooted in probability discounting. Utility discounting is defended against objections from Parfit (1984) and Broome (2005); Broome (2012). A sample utility discount rate is estimated. [Open access]. (shrink)

The paper discusses Ricardo's relationship to Mill and Bentham. It discusses first the origins of the myth of Ricardo's dependence from Bentham through Mill, and Halévy's contribution to the freezing of such a myth. The paper reconstructs what were their shared political commitments and activities and the kind of specific political views and agenda that may be ascribed to Ricardo himself. The paper discusses then the question of Ricardo's adhesion to Benthamite ethics. It examines fragments in Ricardo's correspondence with Maria (...) Edgeworth and Francis Place, and adds fresh light on the issue by highlighting the partial overlapping between Bentham's ethics and the kind of intuitionism with theological consequentialism that Ricardo had learned from the Unitarian minister Thomas Belsham. (shrink)

This paper presents considerations on altruism and prosocial behaviour formulated on the basis of some experiments with the ultimatum game. In the first part it will discuss relations between expected utility theories, the characteristics of homo oeconomicus and a modern understanding of altruism. It will focus in particular on conceptual differences, indicating that we can find more than one definition of altruism in modern literature. The second part of the text will provide an overview of selected behavioural theories of prosocial (...) behaviour. It will also present the manner in which needs, social determinants, norms, and individual psychological features affect the propensity to behave in a prosocial fashion. (shrink)

Utility theories—both Expected Utility and non-Expected Utility theories—offer numericalized representations of classical principles meant for the regulation of choice under conditions of risk—a type of formal representation that reduces the representation of risk to a single number. I shall refer to these as risk-numericalizing theories of decision. I shall argue that risk--numericalizing theories are not satisfactory answers to the question: “How do I take the means to my ends?” In other words, they are inadequate or incomplete as instrumental theories. They (...) are inadequate because they are poor answers to the question of what it is for an option to be instrumental towards an end. To say it another way, they do not offer a sufficiently rich account of what it is for something to be a means toward an end. (shrink)

Assessing the implementation of various instruments and solutions in a healthcare system, we cannot limit ourselves to examining their impact on the fulfillment of the criteria of justice and equity alone. Another important social objective is to maximize social welfare under the conditions of the scarcity of resources. The aim of the article is to analyze the impact on social welfare of the implementation of private insurance into the existing system of public security, with a view to the following factors: (...) the reasons for restrictions in the public system, the assumed forms of the aggregation of individual utilities into the social welfare function, and the assumed image of society. (shrink)

Élie HALÉVY (1870-1937), philosophe et historien des idées, fut professeur à l'École libre des sciences politiques, l'ancêtre de l'actuel Sciences Po. Comme son autre grand ouvrage, l'Histoire du peuple anglais au XIXe siècle, paru en six tomes de 1913 à 1932, les trois tomes de La formation du radicalisme philosophique, parus en 1901 pour les deux premiers et en 1904 pour le troisième, reflètent pour partie ses enseignements de l'Ecole libre consacrés à l'histoire britannique. Le premier tome, La jeunesse de (...) Bentham 1776-1789, étudie la doctrine utilitariste non seulement chez celui qu'on regarde comme son fondateur principal, Jeremy Bentham, mais aussi chez les nombreux auteurs qui, en Grande-Bretagne et sur le continent, en dessinèrent avant lui les contours. Le deuxième tome, L’évolution de la doctrine utilitaire de 1789 à 1815, montre comment l'utilitarisme revêtit la forme non seulement d'une école de pensée, mais aussi d'un mouvement pour la réforme économique, sociale et politique. Le rôle coordonnateur nouveau de James Mill, ainsi qu'une convergence de vues avec les économistes, qui poussaient dans le sens des réformes, marquèrent notamment cette évolution. Le troisième tome, Le radicalisme philosophique, continue d'étudier la transformation de l'école en mouvement après la fin des guerres napoléoniennes, lorsque celle-ci commence à engranger ses premiers grands succès réformistes. Bentham, James Mill et les autres penseurs utilitaires sont alors réunis sous l'appellation de philosophic radicals. Le terme temporel de l'ouvrage est le Reform Act de 1832, première étape vers la modernisation du système électoral, que la propagande de ce groupe ne contribua pas peu à faire aboutir. Quoique l'ouvrage d'Halévy vaille en premier lieu par l'immense savoir qu'il déploie, et le nombre et l'excellence des citations qu'il propose, il comporte aussi des thèses historiques et philosophiques originales. On peut citer parmi les premières la thèse, qui relie les trois tomes, voulant que l'utilitarisme britannique trouve sa forme achevée dans l'intervention sur la société, lorsqu'il se mue en radicalisme philosophique, et parmi les secondes, la thèse, énoncée au début du premier tome, voulant qu'il existe trois modèles dominants de jonction des intérêts individuels (la fusion sympathique, l'identification naturelle et l'identification artificielle). Une autre grande thèse, à la fois historique et philosophique, affirme en substance que l'économie politique classique serait un département spécialisé de la pensée utilitaire. La question de savoir jusqu'à quel point Smith, Ricardo et Malthus ont pu adhérer au "principe d'utilité" de Bentham est toujours débattue. En même temps que les élucidations apportées à ce principe, elle contribue à expliquer l'intérêt que les historiens de la pensée économique continuent de porter à l'ouvrage. L'auteur a participé à la réédition de La formation du radicalisme philosophique en 1995 par les Presses Universitaires de France (P.U.F.), suivant un projet collectif lancé par Monique Canto-Sperber. Dans le présent article, antérieur à cette réédition, l'auteur tentait de résumer brièvement un livre qui demeure irremplaçable en dépit d'une conception et d'un style quelque peu datés. (shrink)

This chapter of the Handbook of Utility Theory aims at covering the connections between utility theory and social ethics. The chapter first discusses the philosophical interpretations of utility functions, then explains how social choice theory uses them to represent interpersonal comparisons of welfare in either utilitarian or non-utilitarian representations of social preferences. The chapter also contains an extensive account of John Harsanyi's formal reconstruction of utilitarianism and its developments in the later literature, especially when society faces uncertainty rather than probabilistic (...) risk. (shrink)

This is a series of lectures on formal decision theory held at the University of Bayreuth during the summer terms 2008 and 2009. It largely follows the book from Michael D. Resnik: Choices. An Introduction to Decision Theory, 5th ed. Minneapolis London 2000 and covers the topics: -/- Decisions under ignorance and risk Probability calculus (Kolmogoroff Axioms, Bayes' Theorem) Philosophical interpretations of probability (R. v. Mises, Ramsey-De Finetti) Neuman-Morgenstern Utility Theory Introductory Game Theory Social Choice Theory (Sen's Paradox of Liberalism, (...) Arrow's Theorem) . (shrink)

Probability is a central concept in utilitarian moral theory, almost impossible to do without. I attempt to clarify the role of probability, so that we can be clear about what we are aiming for when we apply utilitarian theory to real cases. I point out the close relationship between utilitarianism and expected-utility theory, a normative standard for individual decision-making. I then argue that the distinction between “ambiguity” and risk is a matter of perception. We do not need this distinction in (...) the theory itself. In order to make this argument I rely on the personalist theory of probability, and I try to show that, within this theory, we do not need to give up completely on the idea that a “true probability” exists. Finally, I discuss several examples of applied utilitarianism, emphasizing the role of probability in each example: reasonable doubt, the precautionary principle in risk regulation, charity, climate change, and voting. (shrink)

Élie HALÉVY (1870-1937), philosophe et historien des idées, fut professeur à l'École libre des sciences politiques, l'ancêtre de l'actuel Sciences Po. Comme son autre grand ouvrage, l'Histoire du peuple anglais au XIXe siècle, paru en six tomes de 1913 à 1932, les trois tomes de La formation du radicalisme philosophique, parus en 1901 pour les deux premiers et en 1904 pour le troisième, reflètent pour partie ses enseignements de l'Ecole libre consacrés à l'histoire britannique. Le premier tome, La jeunesse de (...) Bentham 1776-1789, étudie la doctrine utilitariste non seulement chez celui qu'on regarde comme son fondateur principal, Jeremy Bentham, mais aussi chez les nombreux auteurs qui, en Grande-Bretagne et sur le continent, en dessinèrent avant lui les contours. Le deuxième tome, L’évolution de la doctrine utilitaire de 1789 à 1815, montre comment l'utilitarisme revêtit la forme non seulement d'une école de pensée, mais aussi d'un mouvement pour la réforme économique, sociale et politique. Le rôle coordonnateur nouveau de James Mill, ainsi qu'une convergence de vues avec les économistes, qui poussaient dans le sens des réformes, marquèrent notamment cette évolution. Le troisième tome, Le radicalisme philosophique, continue d'étudier la transformation de l'école en mouvement après la fin des guerres napoléoniennes, lorsque celle-ci commence à engranger ses premiers grands succès réformistes. Bentham, James Mill et les autres penseurs utilitaires sont alors réunis sous l'appellation de philosophic radicals. Le terme temporel de l'ouvrage est le Reform Act de 1932, première étape vers la modernisation du système électoral, que la propagande de ce groupe ne contribua pas peu à faire aboutir. Quoique l'ouvrage d'Halévy vaille en premier lieu par l'immense savoir qu'il déploie, et le nombre et l'excellence des citations qu'il propose, il comporte aussi des thèses historiques et philosophiques originales. On peut citer parmi les premières la thèse, qui relie les trois tomes, voulant que l'utilitarisme britannique trouve sa forme achevée dans l'intervention sur la société, lorsqu'il se mue en radicalisme philosophique, et parmi les secondes, la thèse, énoncée au début du premier tome, voulant qu'il existe trois modèles dominants de jonction des intérêts individuels (la fusion sympathique, l'identification naturelle et l'identification artificielle). Une autre grande thèse, à la fois historique et philosophique, affirme en substance que l'économie politique classique serait un département spécialisé de la pensée utilitaire. La question de savoir jusqu'à quel point Smith, Ricardo et Malthus ont pu adhérer au "principe d'utilité" de Bentham est toujours débattue. En même temps que les élucidations apportées à ce principe, elle contribue à expliquer l'intérêt que les historiens de la pensée économique continuent de porter à l'ouvrage. La réédition de La formation du radicalisme philosophique par les Presses Universitaires de France (P.U.F.) a impliqué un effort collectif. Monique Canto-Sperber en a conçu l'idée et assumé la direction, et l'ouvrage a paru en 1995 dans la collection Philosophie morale dont elle avait alors la responsabilité aux P.U.F. Chacun des trois tomes s'accompagne d'une postface, confiée au philosophe Jean-Pierre Dupuy pour le premier, au politologue Pierre Bouretz pour le second, et à l'économiste Philippe Mongin pour le troisième. Un travail de grande ampleur a été requis, d'une part, pour localiser les références de Halévy dans des sources plus récentes que celles dont il disposait, en particulier, s'agissant de Bentham, dans l'édition toujours en cours de ses œuvres, et d'autre part, pour traduire les très nombreux passages que Halévy citait en langue anglaise. Sophie Jallais et Mary Sokol se sont chargées de la première tâche et Jean-Pierre Cléro de la seconde. Prise après quelques années de circulation de l'ouvrage, la décision des P.U.F. d'en pilonner les exemplaires que ses responsables ne rachèteraient pas a semblé compromettre ce vaste travail. Mais grâce aux efforts du site québécois Les classiques des sciences sociales, et de son directeur Jean-Marie Tremblay, il est devenu possible d'accéder aux trois tomes électroniquement. Les adresses en sont : http://classiques.uqac.ca/classiques/halevy_elie/radicalisme_philo_t1/radicalisme_philo_t1.html http://classiques.uqac.ca/classiques/halevy_elie/radicalisme_philo_t2/radicalisme_philo_t2.html http://classiques.uqac.ca/classiques/halevy_elie/radicalisme_philo_t3/radicalisme_philo_t3.html Avant la réédition de 1995, l'ouvrage de Halévy n'était facilement accessible que grâce à la traduction anglaise plusieurs fois rééditée de Mary Morris, The Growth of Philosophic Radicalism, New York, Macmillan, 1928. (shrink)

Name der Zeitschrift: Jahrgang: 13 Heft: 2 Seiten: 190-206.

We discuss several features of coherent choice functions —where the admissible options in a decision problem are exactly those that maximize expected utility for some probability/utility pair in fixed set S of probability/utility pairs. In this paper we consider, primarily, normal form decision problems under uncertainty—where only the probability component of S is indeterminate and utility for two privileged outcomes is determinate. Coherent choice distinguishes between each pair of sets of probabilities regardless the “shape” or “connectedness” of the sets of (...) probabilities. We axiomatize the theory of choice functions and show these axioms are necessary for coherence. The axioms are sufficient for coherence using a set of probability/almost-state-independent utility pairs. We give sufficient conditions when a choice function satisfying our axioms is represented by a set of probability/state-independent utility pairs with a common utility. (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.

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)

Cognitive tests show that identity and symmetry reflect intellect. 'Guess of other guess' creates various symmetries, while only one is right: 'absolute symmetry', which can be outvoted by the majority. Prejudices result from differences between ME (my identity) and others. Unbiased judgement is symmetrical, always in the middle: neither in favor, nor against ME. Intelligence reduces prejudices, but the lack of opportunities can counterbalance it. That's why type of bias differs in various groups: people from war zones, people in therapy, (...) artists, etc.. "The law of values' equity" is a symmetrical principle redefining utility in economics, when people equate all their values. E.g. 2 children averagely rich, is better than one child rich and another poor. If 'a' is an average richness, and 'x' is a difference in richness, and Utility multiplies all values, then: a * a > (a - x) * (a + x), which is: a² > a² - x². It does not however imply egalitarianism, as it is still better to have both children rich than both average or poor. (shrink)

to appear in Lambert, E. and J. Schwenkler (eds.) Transformative Experience (OUP) -/- L. A. Paul (2014, 2015) argues that the possibility of epistemically transformative experiences poses serious and novel problems for the orthodox theory of rational choice, namely, expected utility theory — I call her argument the Utility Ignorance Objection. In a pair of earlier papers, I responded to Paul’s challenge (Pettigrew 2015, 2016), and a number of other philosophers have responded in similar ways (Dougherty, et al. 2015, Harman (...) 2015) — I call our argument the Fine-Graining Response. Paul has her own reply to this response, which we might call the Authenticity Reply. But Sarah Moss has recently offered an alternative reply to the Fine-Graining Response on Paul’s behalf (Moss 2017) — we’ll call it the No Knowledge Reply. This appeals to the knowledge norm of action, together with Moss’ novel and intriguing account of probabilistic knowledge. In this paper, I consider Moss’ reply and argue that it fails. I argue first that it fails as a reply made on Paul’s behalf, since it forces us to abandon many of the features of Paul’s challenge that make it distinctive and with which Paul herself is particularly concerned. Then I argue that it fails as a reply independent of its fidelity to Paul’s intentions. (shrink)

We investigate the conflict between the ex ante and ex post criteria of social welfare in a new framework of individual and social decisions, which distinguishes between two sources of uncertainty, here interpreted as an objective and a subjective source respectively. This framework makes it possible to endow the individuals and society not only with ex ante and ex post preferences, as is usually done, but also with interim preferences of two kinds, and correspondingly, to introduce interim forms of the (...) Pareto principle. After characterizing the ex ante and ex post criteria, we present a first solution to their conflict that extends the former as much possible in the direction of the latter. Then, we present a second solution, which goes in the opposite direction, and is also maximally assertive. Both solutions translate the assumed Pareto conditions into weighted additive utility representations, and both attribute to the individuals common probability values on the objective source of uncertainty, and different probability values on the subjective source. We discuss these solutions in terms of two conceptual arguments, i.e., the by now classic spurious unanimity argument and a novel informational argument labelled complementary ignorance. The paper complies with the standard economic methodology of basing probability and utility representations on preference axioms, but for the sake of completeness, also considers a construal of objective uncertainty based on the assumption of an exogeneously given probability measure. JEL classification: D70; D81. (shrink)

This monographic chapter explains how expected utility (EU) theory arose in von Neumann and Morgenstern, how it was called into question by Allais and others, and how it gave way to non-EU theories, at least among the specialized quarters of decion theory. I organize the narrative around the idea that the successive theoretical moves amounted to resolving Duhem-Quine underdetermination problems, so they can be assessed in terms of the philosophical recommendations made to overcome these problems. I actually follow Duhem's recommendation, (...) which was essentially to rely on the passing of time to make many experiments and arguments available, and evebntually strike a balance between competing theories on the basis of this improved knowledge. Although Duhem's solution seems disappointingly vague, relying as it does on "bon sens" to bring an end to the temporal process, I do not think there is any better one in the philosophical literature, and I apply it here for what it is worth. In this perspective, EU theorists were justified in resisting the first attempts at refuting their theory, including Allais's in the 50s, but they would have lacked "bon sens" in not acknowledging their defeat in the 80s, after the long process of pros and cons had sufficiently matured. This primary Duhemian theme is actually combined with a secondary theme - normativity. I suggest that EU theory was normative at its very beginning and has remained so all along, and I express dissatisfaction with the orthodox view that it could be treated as a straightforward descriptive theory for purposes of prediction and scientific test. This view is usually accompanied with a faulty historical reconstruction, according to which EU theorists initially formulated the VNM axioms descriptively and retreated to a normative construal once they fell threatened by empirical refutation. From my historical study, things did not evolve in this way, and the theory was both proposed and rebutted on the basis of normative arguments already in the 1950s. The ensuing, major problem was to make choice experiments compatible with this inherently normative feature of theory. Compability was obtained in some experiments, but implicitly and somewhat confusingly, for instance by excluding overtly incoherent subjects or by creating strong incentives for the subjects to reflect on the questions and provide answers they would be able to defend. I also claim that Allais had an intuition of how to combine testability and normativity, unlike most later experimenters, and that it would have been more fruitful to work from his intuition than to make choice experiments of the naively empirical style that flourished after him. In sum, it can be said that the underdetermination process accompanying EUT was resolved in a Duhemian way, but this was not without major inefficiencies. To embody explicit rationality considerations into experimental schemes right from the beginning would have limited the scope of empirical research, avoided wasting resources to get only minor findings, and speeded up the Duhemian process of groping towards a choice among competing theories. (shrink)

This is a chapter of a collective volume of Rawls's and Harsanyi's theories of distributive justice. It focuses on Harsanyi's important Social Aggregation Theorem and technically reconstructs it as a theorem in welfarist social choice.

A reply to Fransisco Vergara's attack on Halévy's interpretation of Bentham in Philosophy, January, 1998. Vergara had argued that Halévy was mistaken in interpreting Bentham's principle of utility as a psychological law as well as the ethical greatest happiness principle. Mongin and Sigot show that Halévy correctly interpreted Bentham's texts and that the psychological law is necessary to Bentham's legal theory, economics and politics; they also argue that it is incorrect to confuse the principle of utility with a theory of (...) universal selfishness, and that this misunderstanding underlies Vergara's mistaken picture of both Halévy and Bentham. (shrink)

This paper (first published under the same title in Journal of Mathematical Economics, 29, 1998, p. 331-361) is a sequel to "Consistent Bayesian Aggregation", Journal of Economic Theory, 66, 1995, p. 313-351, by the same author. Both papers examine mathematically whether the the following assumptions are compatible: the individuals and the group both form their preferences according to Subjective Expected Utility (SEU) theory, and the preferences of the group satisfy the Pareto principle with respect to those of the individuals. While (...) the 1995 paper explored these assumptions in the axiomatic context of Savage's (1954-1972) SEU theory, the present paper explores them in the context of Anscombe and Aumann's (1963) alternative SEU theory. We first show that the problematic assumptions become compatible when the Anscombe-Aumann utility functions are state-dependent and no subjective probabilities are elicited. Then we show that the problematic assumptions become incompatible when the Anscombe-Aumann utility functions are state-dependent, like before, but subjective probabilities are elicited using a relevant technical scheme. This last result reinstates the impossibilities proved by the 1995 paper, and thus shows them to be robust with respect to the choice of the SEU axiomatic framework. The technical scheme used for the elicitation of subjective probabilities is that of Karni, Schmeidler and Vind (1983). (shrink)

A strongly independent preorder on a possibly in finite dimensional convex set that satisfi es two of the following conditions must satisfy the third: (i) the Archimedean continuity condition; (ii) mixture continuity; and (iii) comparability under the preorder is an equivalence relation. In addition, if the preorder is nontrivial (has nonempty asymmetric part) and satisfi es two of the following conditions, it must satisfy the third: (i') a modest strengthening of the Archimedean condition; (ii') mixture continuity; and (iii') completeness. Applications (...) to decision making under conditions of risk and uncertainty are provided. (shrink)

It is well known that there is a conflict between three intuitive principles for the evaluation of risky prospects in distributional contexts, Ex-Post Egalitarianism, Ex-Ante Pareto and Dominance. In this paper, I return to Peter Diamond’s suggestion that we reject Dominance as a principle of rationality in distributional contexts and present a new argument in support of this position. The argument is based on an observation regarding the right way for a distributor to weigh reasons for actions. In some cases, (...) I argue, reasons for action that are grounded in the interests of one of the patients ought to be disregarded by the distributor. These cases share the following property: it is in the patient’s overall interest that the distributor disregards them. I show that Dominance does not permit distributors to disregard such reasons and use this observation to argue against the claim that Dominance is a principle of rationality in distributional contexts. (shrink)

This paper proposes a new theory of rational choice, Expected Comparative Utility (ECU) Theory. It is first argued that for any decision option, a, and any state of the world, G, the measure of the choiceworthiness of a in G is the comparative utility of a in G – that is, the difference in utility, in G, between a and whichever alternative to a carries the greatest utility in G. On the basis of this principle, it is then argued, roughly (...) speaking, that an agent should rank her decision options (in terms of how choiceworthy they are) according to their expected comparative utility. For any decision option, a, the expected comparative utility of a is the probability-weighted average of the comparative utilities of a across the different states of the world. It is lastly demonstrated that in a number of decision cases, ECU Theory delivers different verdicts from those of standard decision theory. (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)