Utility

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)

In this paper, I intend to deny the morality and instrumentality of the behavior known as bestiality, or the use of non-human animals for sexual gratification by human beings. While to most modern peoples, this hardly even seems like it should be in question, it should be the nature of the human mind to occasionally question long-standing traditional moray in the hopes of finding solutions to problems and the disbanding of superstition. It has been proposed that the moral question, and (...) by extension the legal question, of bestiality is based on traditions long outlived and unnecessary. In an IceNews.is article written in 2008, Norwegian lawyers were growing concerned over the prevalence of animal brothels in Denmark and the precedent it set for Norway [http://www.icenews.is, 2008]. The article, when coupled with the 2001 article title “Heavy Petting” by prominent Utilitarian philosopher, Peter Singer, proves that the issue of bestiality is no longer the purview of jokes and psychological discussions. I will argue against bestiality as a socially acceptable practice based on five standard premises. The standard premises I will present will contain notes in regard to: instrumentality; consent; disease transmission; deviance; and morality. There is significant work available on the harm done to the beast, so aside from brief summary; the question of the good of the beast is not in the focus. I will also ignore any religious concerns, either surrounding morality or freedom of practice. Instead, these arguments are in support of the moral identity of the individual and of society as a whole. (shrink)

The richer you are, the less equally rich or richer people. The richest is only one (=unique). Maximization of richness or leisure (=classic utility), maximizes the uniqueness (=improbability) that can be maximized also by: extreme sport, suicide, tattoo, count of views... The richest seem unique as the poorest, but the rich can easily become poor, while the poor can hardly get rich. So the aim of maximization reflects IQ and options. Few options increase irrationality, regardless of IQ. I also present (...) the law of values' equality, Utility of Suicide, motivation to support the better, and overview the economics as such. Presented as PhD thesis at CERGE-EI, 2000, exhibited in Holland Park, W8 6LU, 2013, presented at conferences in Santorini 2016, Daejon 2016, Adelaide 2016. (shrink)

This paper critically reviews the arguments supporting rational genuine satisficing. The deconstructive effort unearths inherent problems with the position in both static and dynamic contexts. Many of these arguments build on Herbert Simon’s canonical arguments surrounding incommensurability and demandingness problems. Optimizing is re-constructed using the principles of instrumental satisficing to answer these charges. The resulting conception is both obviously undemanding and a recognizable response to focused decision making.

"Resolution of Jerusalem’s status arguably remains controversial because of the divergent analytical lenses through which the conflict’s parties, and others, view its intertwined legal, territorial, historical and religious issues. Thus, Jerusalem persists as an intricate and intractable cornerstone of the Israel-Palestine conflict." Diakonia International Humanitarian Law Resource Centre.

This book is divided into 2 sections. In Section 1 (How to think rationally), I address how to acquire rational belief attitudes and, on that basis, I consider the question whether one ought to be skeptical of climate change. In Section 2 (How to act rationally), I address how to make rational choices and, on that basis, I consider the questions whether one is rationally required to do what one can to support life-extension medical research and, more broadly, whether one (...) is rationally required to do what one can for the welfare of posterity. (shrink)

In this paper, I argue for a new normative theory of rational choice under risk, namely expected comparative utility (ECU) theory. I show that for any choice option, a, and for any state of the world, G, the measure of the choiceworthiness of a in G is the comparative utility (CU) of a in G—that is, the difference in utility, in G, between a and whichever alternative(s) to a carry the greatest utility in G. On the basis of this principle, (...) I argue that for any agent, S, faced with any decision under risk, S should rank his or her decision options (in terms of how choiceworthy they are) according to their comparative expected comparative utility (CECU) and should choose whichever option carries the greatest CECU (or one of them in the event that several alternatives are tied). For any option, a, a’s CECU is the difference between its ECU and that of whichever alternative(s) to a carry the greatest ECU, where a’s ECU is a probability-weighted sum of a’s CUs across the various possible states of the world. I show that in some ordinary decisions under risk, ECU theory delivers different verdicts from those of standard decision theory. (shrink)

We present experimental evidence that supports the thesis :602–625, 2015, Br J Philos Sci 70:77–102, 2019; Bradley in Decisions theory with a human face, Cambridge University Press, Cambridge, 2017; Goldschmidt and Nissan-Rozen in Synthese 198:7553–7575, 2021) that people might positively or negatively desire risky prospects conditional on only some of the prospects’ outcomes obtaining. We argue that this evidence has important normative implications for the central debate in normative decision theory between two general approaches on how to rationalize several common (...) patterns of preference, which are ruled out as irrational by orthodox decision theory, namely the re-individuation approach and the non-expected utility approach. (shrink)

Decision theory requires agents to assign probabilities to states of the world and utilities to the possible outcomes of different actions. When agents commit to having the probabilities and/or utilities in a decision problem defined by objective features of the world, they may find themselves unable to decide which actions maximize expected utility. Decision theory has long recognized that work-around strategies are available in special cases; this is where dominance reasoning, minimax, and maximin play a role. Here we describe a (...) different work around, wherein a rational decision about one decision problem can be reached by “interpolating” information from another problem that the agent believes has already been rationally solved. (shrink)

Suppose that you prefer A to B, B to C, and A to C. Your preferences violate Expected Utility Theory by being cyclic. Money-pump arguments offer a way to show that such violations are irrational. Suppose that you start with A. Then you should be willing to trade A for C and then C for B. But then, once you have C, you are offered a trade back to A for a small cost. Since you prefer A to C, you (...) pay the small sum to trade from C to A. But now you have been turned into a money pump. You are back to the alternative you started with but with less money. This Element shows how each of the axioms of Expected Utility Theory can be defended by money-pump arguments of this kind. The Element also defends money-pump arguments from the standard objections to this kind of approach. (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 paper is about the role of interpersonal comparisons in Harsanyi's aggregation theorem. Harsanyi interpreted his theorem to show that a broadly utilitarian theory of distribution must be true even if there are no interpersonal comparisons of well-being. How is this possible? The orthodox view is that it is not. Some argue that the interpersonal comparability of well-being is hidden in Harsanyi's premises. Others argue that it is a surprising conclusion of Harsanyi's theorem, which is not presupposed by any one (...) of the premises. I argue instead that Harsanyi was right: his theorem and its weighted-utilitarian conclusion do not require interpersonal comparisons of well-being. The key to making sense of this possibility is to treat Harsanyi's weights as dimensional constants rather than dimensionless numbers. (shrink)

This paper develops and explores a new framework for theorizing about the measurement and aggregation of well-being. It is a qualitative variation on the framework of social welfare functionals developed by Amartya Sen. In Sen’s framework, a social or overall betterness ordering is assigned to each profile of real-valued utility functions. In the qualitative framework developed here, numerical utilities are replaced by the properties they are supposed to represent. This makes it possible to characterize the measurability and interpersonal comparability of (...) well-being directly, without the use of invariance conditions, and to distinguish between real changes in well-being and merely representational changes in the unit of measurement. The qualitative framework is shown to have important implications for a range of issues in axiology and social choice theory, including the characterization of welfarism, axiomatic derivations of utilitarianism, the meaningfulness of prioritarianism, the informational requirements of variable-population ethics, the impossibility theorems of Arrow and others, and the metaphysics of value. (shrink)

Shadmehr and Ahmed’s book is a welcome extension of optimal foraging theory and neuroeconomics, achieved by integrating both with parameters relating to effort and rate of movement. Their most persuasive and prolific data comes from saccades, where times before and after decision are reasonably determinate. Skeletal movements are less likely to exhibit such tidy temporal organisation.

An action is unratifiable when, on the assumption that one performs it, another option has higher expected utility. Unratifiable actions are often claimed to be somehow rationally defective. But in some cases where multiple options are unratifiable, one unratifiable option can still seem preferable to another. We should respond, I argue, by invoking a graded notion of ratifiability.

I present a decision problem in which causal decision theory appears to violate 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. This decision should lead causalists to a better understanding of what it takes for a decision between some collection of options to count as a subdecision of a decision between a larger collection of options. And with (...) this better understanding of subdecisions in hand, causalists will not violate the IIA or the NEE. This decision will also teach causalists that, in sequential decisions, a rational agent may be led to make a series of choices which are causally dominated by some other sequence of choices they could have made instead. I will encourage causalists to recognise this as an intrapersonal tragedy of the commons. (shrink)

Affective forecasting refers to the ability to predict future emotions, a skill that is essential to making decisions on a daily basis. Studies of the concept have determined that individuals are often inaccurate in making such affective forecasts. However, the mechanisms of these errors are not yet clear. In order to better understand why affective forecasting errors occur, this article seeks to trace the theoretical roots of this theory with a focus on its multidisciplinary history. The roots of affective forecasting (...) lie mainly in economics, with early claims positing that utility played a role in decision-making. Furthermore, the philosopher Jeremy Bentham’s descriptions of utilitarianism played a major role in our understanding of whether to define utility as a hedonic quality. The birth of behavioural economics resulted in a paradigm shift, introducing the concept of cognitive biases as influences on the accuracy of predicted utility. Daniel Gilbert and Timothy Wilson, the earliest researchers of affective forecasting errors, have proceeded with the concept of the accuracy of predicted affective utility to conduct experiments that seek to determine why our predictions of future affect are inaccurate and how such errors play a role in our decision-making. (shrink)

In this paper, I argue for a new normative theory of rational choice under risk, namely expected comparative utility (ECU) theory. I first show that for any choice option, a, and for any state of the world, G, the measure of the choiceworthiness of a in G is the comparative utility (CU) 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, I then argue that for any agent, S, faced with any decision under risk, S should rank his or her decision options (in terms of how choiceworthy they are) according to their comparative expected comparative utility (CECU) and should choose whichever option carries the greatest CECU. For any option, a, a's CECU is the difference between its ECU and that of whichever alternative to a carries the greatest ECU, where a's ECU is a probability-weighted sum of a's CUs across the various possible states of the world. I lastly demonstrate that in some ordinary decisions under risk, ECU theory delivers different verdicts from those of standard decision theory. (shrink)

People with the kind of preferences that give rise to the St. Petersburg paradox are problematic---but not because there is anything wrong with infinite utilities. Rather, such people cannot assign the St. Petersburg gamble any value that any kind of outcome could possibly have. Their preferences also violate an infinitary generalization of Savage's Sure Thing Principle, which we call the *Countable Sure Thing Principle*, as well as an infinitary generalization of von Neumann and Morgenstern's Independence axiom, which we call *Countable (...) Independence*. In violating these principles, they display foibles like those of people who deviate from standard expected utility theory in more mundane cases: they choose dominated strategies, pay to avoid information, and reject expert advice. We precisely characterize the preference relations that satisfy Countable Independence in several equivalent ways: a structural constraint on preferences, a representation theorem, and the principle we began with, that every prospect has a value that some outcome could have. (shrink)

Mill thinks our attitudes should be held in a way that’s active and ‘alive’. He believes attitudes that lack these qualities—those held dogmatically, or in unreflective conformity—are inimical to our well-being. This claim then serves as a premiss in his argument for overarching principles of liberty. He argues that attitudinal vitality, in the relevant sense, relies upon people experiencing attitudinal conflict, and that this necessitates a prioritization of personal liberties. I argue that, pace Mill, contestation isn’t required for attitudinal vitality. (...) I describe one species of attitudinal vitality that isn’t reliant upon conflict. (shrink)

Most philosophical decision theorists and philosophers of the social sciences believe that decision theory is and should be in the business of providing folk psychological explanations of choice behaviour, and that it can only do so if we understand the preferences, utilities and probabilities that feature in decision-theoretic models as ascriptions of mental states not reducible to choice. The behavioural interpretation of preference and related concepts, still common in economics, is consequently cast as misguided. This paper argues that even those (...) who strive to provide folk psychological explanations should side with the economists, and adopt a behavioural interpretation of the preferences featuring in decision-theoretic models. Under a mentalistic interpretation of preference, decision-theoretic models do not straightforwardly provide ordinary folk psychological explanations. Instead, they involve controversial enough commitments about the mental causes of choice to not only fail to adequately capture much unreflective decision-making, but also many intentional, reason-based and instrumentally rational choices. Satisfactory folk psychological explanation in fact only comes indirectly from inferring more fundamental conative attitudes from a pattern of decision-theoretic preferences. And the behavioural interpretation does a better job at facilitating such inferences. My argument extends to the related concepts of utility and probability. (shrink)

This paper defends revealed preference theory against a pervasive line of criticism, according to which revealed preference methodology relies on appealing to some mental states, in particular an agent’s beliefs, rendering the project incoherent or unmotivated. I argue that all that is established by these arguments is that revealed preference theorists must accept a limited mentalism in their account of the options an agent should be modelled as choosing between. This is consistent both with an essentially behavioural interpretation of preference (...) and with standard revealed preference methodology. And it does not undermine the core motivations of revealed preference theory. (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)

Так как Гинтис является старшим экономистом, и я читал некоторые из его предыдущих книг с интересом, я ожидал еще несколько понимание поведения. Ксожалению, он делает мертвые руки группового отбора и меноменологии в центральными его теории поведения, и это в значительной степени недействительными работы. Хуже того, так как он показывает такие плохие суждения здесь, это ставит под сомнение все его предыдущие работы. Попытка воскресить выбор группы его друзьями в Гарварде, Новаком и Уилсоном, Несколько лет назад был одним из главных скандалов в (...) биологии в последнее десятилетие, и я рассказал печальную историю в моей статье "Альтруизм, Иисус и конец света, как Templeton Фонд купил Профессорство Гарварда и напали Эволюция, Рациональность и цивилизация - Обзор Э. О. Уилсон "Социальное завоевание Земли" (2012) и Новак филд и High 'SuperCooperators' (201) В отличие от Новака, Гинтис, кажется, не мотивирован религиозным фанатизмом, а сильным желанием создать альтернативу мрачным реалиям человеческой природы, упрощаемым (почти всеобщим) непониманием фундаментальной человеческой биологии и пустым сланцизмом поведенческих ученых, других ученых и широкой общественности. Гинтис справедливо атакует (как он уже много раз) экономистов, социологов и других поведенческих ученых за отсутствие последовательной основы для описания поведения. Конечно,рамки, необходимые для понимания поведения, эволюционные. К сожалению, он не в состоянии обеспечить один сам (в соответствии с его многочисленными критиками, и я согласен), и попытка привить гнилой труп группы отбора на любые экономические и психологические теории он породил в своей десятилетия работы, просто недействительными весь его проект. Хотя Гинтис прилагает доблестные усилия, чтобы понять и объяснить генетику, как Уилсон и Новак, он далек от эксперта, и, как они, математика просто ослепляет его биологических невозможностей и, конечно, это норма в науке. Как Витгенштейн лихо отметил на первой странице культуры и ценности "Существует нет религиозной конфессии, в которой злоупотребление метафизических выражений несет ответственность за столько греха, как это было в математике". Всегда было кристально ясно, что ген, который вызывает поведение, которое уменьшает свою собственную частоту, не может сохраняться, но это ядро понятия группового отбора. Кроме того, было хорошо известно, и часто демонстрируется, что групповой выбор просто сводится к инклюзивной фитнес (выбор родственников), который, как Докинз отметил, это просто еще одно название для эволюции естественного отбора. Как и Уилсон, Гинтис проработал в этой сфере около 50 лет и до сих пор не понял ее, но после того, как разразился скандал, мне понадобилось всего 3 дня, чтобы найти, прочитать и понять наиболее актуальную профессиональную работу, как подробно описано в моей статье. Это ум boggling понять, что Гинтис и Уилсон были не в состоянии сделать это в почти полвека. Я обсуждаю ошибки группового отбора и феномологии, которые являются нормой в академических кругах, как особые случаи почти всеобщего непонимания человеческой природы, которые разрушают Америку и мир. Те, кто желает всеобъемлющего до современных рамок для человеческого поведения из современных двух systEms зрения могут проконсультироваться с моей книгой"Логическая структура философии, психологии, Минd иязык в Людвиг Витгенштейн и Джон Сирл" второй ред (2019). Те, кто заинтересован в более моих работ могут увидеть "Говоря обезьян --Философия, Психология, Наука, Религия и Политика на обреченной. (shrink)

Calculation is omnipresent in the current pandemic. And yet, Continental philosophers never talk about calculation: it seems to be the c** of philosophy. Why is that so? Has it always been like that?

In this article, I firstly discuss why a prioritarian clause can rescue the utilitarian doctrine from the risk of exacerbating inequality in the distribution of resources in those cases in which utility of income does not decline at the margin. Nonetheless, when in the presence of adaptive preferences, classic prioritarianism is more likely than utilitarianism to increase the inequality of resources under all circumstances, independently of the diminishing trend of utility. Hence, I propose to shift the informational focus of prioritarianism (...) from welfare to either social income or capabilities in order to safeguard those who are worse off. Following this, I argue that we may have reasons to limit the aggregative logic of priority-amended utilitarianism through one or more sufficiency thresholds, and that we can partially defuse the negative-thesis objection that is usually levelled against sufficientarianism, provided we interpret the threshold(s) as valid only as long as everyone is led above it. (shrink)

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 modern concept of ideology was established by the liberal politician and philosopher Destutt de Tracy, with the objective of creating an all-embracing and general science of ideas, which followed the sensualist and empiricist trend initiated by Locke that culminated in the positivism of Comte. Natural selection and immunity are two key concepts in the history of biology that were strongly based on the Malthusian concept of struggle for existence. This concept wrongly assumed that population grew faster than the means (...) of existence. This “natural” law contained implicitly the idea that the poor and least gifted would not survive. This idea led to the progressive development of the concept of natural selection, whose definitive version was given by Darwin. Mechnikov took the concepts of struggle for existence and natural selection and conceived infectious diseases as a struggle between a host and its invader, the so-called phagocytosis theory. This theory created the necessity to possess mechanisms to discriminate between the own and the foreign, and led to the conception of the immune self. These concepts were not developed from ideas coming from perceptions or sensations, but from ideas coming from their values: individual interest, inevitable inequality, property, utility and profit. Values are ideals that constitute an ideological matrix which exerts a numinous activity and influence the development of our future actions. In consequence, science and its practice cannot avoid and ignore the values that drive them and impulse them towards certain directions. (shrink)

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)

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)

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.

It is possible that the world contains infinitely many agents that have positive and negative levels of well-being. Theories have been developed to ethically rank such worlds based on the well-being levels of the agents in those worlds or other qualitative properties of the worlds in question, such as the distribution of agents across spacetime. In this thesis I argue that such ethical rankings ought to be consistent with the Pareto principle, which says that if two worlds contain the same (...) agents and some agents are better off in the first world than they are in the second and no agents are worse off than they are in the second, then the first world is better than the second. I show that if we accept four axioms – the Pareto principle, transitivity, an axiom stating that populations of worlds can be permuted, and the claim that if the ‘at least as good as’ relation holds between two worlds then it holds between qualitative duplicates of this world pair – then we must conclude that there is ubiquitous incomparability between infinite worlds. I show that this is true even if the populations of infinite worlds are disjoint or overlapping, and that we cannot use any qualitative properties of world pairs to rank these worlds. Finally, I argue that this incomparability result generates puzzles for both consequentialist and non-consequentialist theories of objective and subjective permissibility. (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)

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)

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 argue for a new normative theory of rational choice under risk, namely expected comparative utility (ECU) theory. I first show that for any choice option, a, and for any state of the world, G, the measure of the choiceworthiness of a in G is the comparative utility (CU) 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, I then argue that for any agent, S, faced with any decision under risk, S should rank his or her decision options (in terms of how choiceworthy they are) according to their comparative expected comparative utility (CECU) and should choose whichever option carries the greatest CECU. For any option, a, a’s CECU is the difference between its ECU and that of whichever alternative to a carries the greatest ECU, where a’s ECU is a probability‐weighted sum of a’s CUs across the various possible states of the world. I lastly demonstrate that in some ordinary decisions under risk, ECU theory delivers different verdicts from those of standard decision theory. (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)

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.

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)

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)

Utility theories—both Expected Utility (EU) and non-Expected Utility (non-EU) 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 (referring both to the representations and to the underlying axioms that render numericalization possible) are not satisfactory answers to the question: “How do I take the (...) (best) 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 (an instrument) toward an end. (shrink)

Suppose that it is rational to choose or intend a course of action if and only if the course of action maximizes some sort of expectation of some sort of value. What sort of value should this definition appeal to? According to an influential neo-Humean view, the answer is “Utility”, where utility is defined as a measure of subjective preference. According to a rival neo-Aristotelian view, the answer is “Choiceworthiness”, where choiceworthiness is an irreducibly normative notion of a course of (...) action that is good in a certain way. The neo-Humean view requires preferences to be measurable by means of a utility function. Various interpretations of what exactly a “preference” is are explored, to see if there is any interpretation that supports the claim that a rational agent’s “preferences” must satisfy the “axioms” that are necessary for them to be measurable in this way. It is argued that the only interpretation that supports the idea that the rational agent’s preferences must meet these axioms interprets “preferences” as a kind of value-judgment. But this turns out to be version of the neo-Aristotelian view, rather than the neo-Humean view. Rational intentions maximize expected choiceworthiness, not expected utility. (shrink)

We reexamine some of the classic problems connected with the use of cardinal utility functions in decision theory, and discuss Patrick Suppes's contributions to this field in light of a reinterpretation we propose for these problems. We analytically decompose the doctrine of ordinalism, which only accepts ordinal utility functions, and distinguish between several doctrines of cardinalism, depending on what components of ordinalism they specifically reject. We identify Suppes's doctrine with the major deviation from ordinalism that conceives of utility functions as (...) representing preference differences, while being non- etheless empirically related to choices. We highlight the originality, promises and limits of this choice-based cardinalism. (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)

Decision theory has at its core a set of mathematical theorems that connect rational preferences to functions with certain structural properties. The components of these theorems, as well as their bearing on questions surrounding rationality, can be interpreted in a variety of ways. Philosophy’s current interest in decision theory represents a convergence of two very different lines of thought, one concerned with the question of how one ought to act, and the other concerned with the question of what action consists (...) in and what it reveals about the actor’s mental states. As a result, the theory has come to have two different uses in philosophy, which we might call the normative use and the interpretive use. It also has a related use that is largely within the domain of psychology, the descriptive use. This essay examines the historical development of decision theory and its uses; the relationship between the norm of decision theory and the notion of rationality; and the interdependence of the uses of decision theory. (shrink)

Explains the desire-fulfillment theory of well-being, its history, its development, its varieties, its advantages, and its challenges.

Jim Joyce argues for two amendments to probabilism. The first is the doctrine that credences are rational, or not, in virtue of their accuracy or “closeness to the truth” (1998). The second is a shift from a numerically precise model of belief to an imprecise model represented by a set of probability functions (2010). We argue that both amendments cannot be satisfied simultaneously. To do so, we employ a (slightly-generalized) impossibility theorem of Seidenfeld, Schervish, and Kadane (2012), who show that (...) there is no strictly proper scoring rule for imprecise probabilities. -/- The question then is what should give way. Joyce, who is well aware of this no-go result, thinks that a quantifiability constraint on epistemic accuracy should be relaxed to accommodate imprecision. We argue instead that another Joycean assumption — called strict immodesty— should be rejected, and we prove a representation theorem that characterizes all “mildly” immodest measures of inaccuracy. (shrink)

This paper proposes a class of independence axioms for simple acts. By introducing the E\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {E}}$$\end{document}-cominimum independence axiom that is stronger than the comonotonic independence axiom but weaker than the independence axiom, we provide a new axiomatization theorem of simple acts within the framework of Choquet expected utility. Furthermore, in order to provide the axiomatization of simple acts, we generalize Kajii et al. into an infinite state space. Our axiomatization theorem relates (...) Choquet expected utility to multi-prior expected utility through the core of a capacity that is explicitly derived within our framework. Our result in this paper also derives Gilboa, Eichberger and Kelsey, and Rohde as a corollary. (shrink)