Results for 'closure, expected utility, rationality'

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  1.  10
    Expected Utility and Rationality.John Broome - 2017 - In Weighing Goods. Oxford, UK: Wiley. pp. 90–120.
    This chapter concerns with rational preferences in the face of uncertainty. The goodness of uncertain prospects is best understood in terms of rational preferences. The chapter discusses some necessary spadework. Its particular purpose is to defend some parts of expected utility theory as an account of rational preferences. It explains the general idea of expected utility theory, and particularly how it is founded on axioms. The principal axiom is also explained. It is often called the 'sure‐thing principle', and (...)
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  2. Why high-risk, non-expected-utility-maximising gambles can be rational and beneficial: the case of HIV cure studies.Lara Buchak - 2016 - Journal of Medical Ethics (2):1-6.
    Some early phase clinical studies of candidate HIV cure and remission interventions appear to have adverse medical risk–benefit ratios for participants. Why, then, do people participate? And is it ethically permissible to allow them to participate? Recent work in decision theory sheds light on both of these questions, by casting doubt on the idea that rational individuals prefer choices that maximise expected utility, and therefore by casting doubt on the idea that researchers have an ethical obligation not to enrol (...)
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  3. Risk, rationality and expected utility theory.Richard Pettigrew - 2015 - Canadian Journal of Philosophy 45 (5-6):798-826.
    There are decision problems where the preferences that seem rational to many people cannot be accommodated within orthodox decision theory in the natural way. In response, a number of alternatives to the orthodoxy have been proposed. In this paper, I offer an argument against those alternatives and in favour of the orthodoxy. I focus on preferences that seem to encode sensitivity to risk. And I focus on the alternative to the orthodoxy proposed by Lara Buchak’s risk-weighted expected utility theory. (...)
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  4.  48
    Expected utilities and rational actions and choices.Jordan Howard Sobel - 1983 - Theoria 49 (3):159-183.
  5.  39
    Rationality, Expected Utility Theory and the Precautionary Principle.Andreas Christiansen - 2019 - Ethics, Policy and Environment 22 (1):3-20.
    A common objection to the precautionary principle is that it is irrational. I argue that this objection goes beyond the often-discussed claim that the principle is incoherent. Instead, I argue, exp...
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  6. Expected utility theory, Jeffrey’s decision theory, and the paradoxes.Philippe Mongin & Jean Baccelli - 2020 - Synthese 199 (1):695-713.
    In Richard Bradley’s book, Decision Theory with a Human Face, we have selected two themes for discussion. The first is the Bolker-Jeffrey theory of decision, which the book uses throughout as a tool to reorganize the whole field of decision theory, and in particular to evaluate the extent to which expected utility theories may be normatively too demanding. The second theme is the redefinition strategy that can be used to defend EU theories against the Allais and Ellsberg paradoxes, a (...)
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  7.  83
    Rationality, group choice and expected utility.Reed Richter - 1985 - Synthese 63 (2):203 - 232.
    This paper proposes a view uniformly extending expected utility calculations to both individual and group choice contexts. Three related cases illustrate the problems inherent in applying expected utility to group choices. However, these problems do not essentially depend upon the tact that more than one agent is involved. I devise a modified strategy allowing the application of expected utility calculations to these otherwise problematic cases. One case, however, apparently leads to contradiction. But recognizing the falsity of proposition (...)
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  8. Normative theories of rational choice: expected utility.Rachael Briggs - 2017 - The Stanford Encyclopedia of Philosophy.
  9. Expected Utility Theory.Philippe Mongin - 1998 - In John Davis, Wade Hands & Uskali Maki (eds.), Handbook of Economic Methodology. Edward Elgar. pp. 342-350.
    The paper summarizes expected utility theory, both in its original von Neumann-Morgenstern version and its later developments, and discusses the normative claims to rationality made by this theory.
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  10. Expected utility and risk.Paul Weirich - 1986 - British Journal for the Philosophy of Science 37 (4):419-442.
    The rule to maximize expected utility is intended for decisions where options involve risk. In those decisions the decision maker's attitude toward risk is important, and the rule ought to take it into account. Allais's and Ellsberg's paradoxes, however, suggest that the rule ignores attitudes toward risk. This suggestion is supported by recent psychological studies of decisions. These studies present a great variety of cases where apparently rational people violate the rule because of aversion or attraction to risk. Here (...)
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  11. On the Expected Utility Objection to the Dutch Book Argument for Probabilism.Richard Pettigrew - 2021 - Noûs (1):23-38.
    The Dutch Book Argument for Probabilism assumes Ramsey's Thesis (RT), which purports to determine the prices an agent is rationally required to pay for a bet. Recently, a new objection to Ramsey's Thesis has emerged (Hedden 2013, Wronski & Godziszewski 2017, Wronski 2018)--I call this the Expected Utility Objection. According to this objection, it is Maximise Subjective Expected Utility (MSEU) that determines the prices an agent is required to pay for a bet, and this often disagrees with Ramsey's (...)
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  12.  26
    Maximization of Expected Utility as a Criterion of Rationality in Military Strategy and Foreign Policy.Robert P. Wolff - 1970 - Social Theory and Practice 1 (1):99-111.
  13.  20
    Rationality in context: On inequality and the epistemic problems of maximizing expected utility.Dominik Klein, Johannes Marx & Simon Scheller - 2020 - Synthese 197 (1):209-232.
    The emergence of economic inequality has often been linked to individual differences in mental or physical capacities. By means of an agent-based simulation this paper shows that neither of these is a necessary condition. Rather, inequality can arise from iterated interactions of fully rational agents. This bears consequences for our understanding of both inequality and rationality. In a setting of iterated bargaining games, we claim that expected utility maximizing agents perform suboptimally in comparison with other strategies. The reason (...)
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  14. A conditional expected utility model for myopic decision makers.Leigh Tesfatsion - 1980 - Theory and Decision 12 (2):185-206.
    An expected utility model of individual choice is formulated which allows the decision maker to specify his available actions in the form of controls (partial contingency plans) and to simultaneously choose goals and controls in end-mean pairs. It is shown that the Savage expected utility model, the Marschak- Radner team model, the Bayesian statistical decision model, and the standard optimal control model can be viewed as special cases of this goal-control expected utility model.
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  15. Duhemian Themes in Expected Utility Theory.Philippe Mongin - 2009 - In Anastasios Brenner and Jean Gayon (ed.), French Studies in the Philosophy of Science. Springer. pp. 303-357.
    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 (...)
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  16.  36
    Chance, utility, rationality, strategy, equilibrium.Anatol Rapoport - 2003 - Behavioral and Brain Sciences 26 (2):172-173.
    Almost anyone seriously interested in decision theory will name John von Neumann's (1928) Minimax Theorem as its foundation, whereas Utility and Rationality are imagined to be the twin towers on which the theory rests. Yet, experimental results and real-life observations seldom support that expectation. Over two centuries ago, Hume (1739–40/1978) put his finger on the discrepancy. “Reason,” he wrote “is, and ought to be the slave of passions, and can never pretend to any other office than to serve and (...)
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  17.  47
    Conditional Preference and Causal Expected Utility.Brad Armendt - 1988 - In W. L. Harper & B. Skyrms (eds.), Causation in Decision, Belief Change, and Statistics, vol. II. Kluwer Academic Publishers. pp. 3-24.
    Sequel to Armendt 1986, ‘A Foundation for Causal Decision Theory.’ The representation theorem for causal decision theory is slightly revised, with the addition of a new restriction on lotteries and a new axiom (A7). The discussion gives some emphasis to the way in which appropriate K-partitions are characterized by relations found among the agent’s conditional preferences. The intended interpretation of conditional preference is one that embodies a sensitivity to the agent’s causal beliefs.
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  18. Expected Utility Theory.Simon Grant & Timothy Van Zandt - 2009 - In Paul Anand, Prasanta Pattanaik & Clemens Puppe (eds.), Handbook of Rational and Social Choice. Oxford University Press.
     
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  19.  51
    Expected Utility, Ordering, and Context Freedom.Piers Rawling - 1997 - Economics and Philosophy 13 (1):79.
    The context-free weak ordering principle is viewed by many as a cornerstone of rational choice theory. McClennen, for example, claims that this principle is one of a pair on which '[t]he theory of rational choice and preference, as it has been developed in the past few decades by economists and decision theorists, rests', and Sen characterizes a version of context freedom as ‘a very basic requirement of rational choice’. But this principle is certainly not uncontroversial: there are examples of principle (...)
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  20.  59
    A mistaken argument against the expected utility theory of rationality.John Broome - 1985 - Theory and Decision 18 (3):313-318.
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  21. Allan Gibbard and William L. Harper.of Expected Utility - 1978 - In A. Hooker, J. J. Leach & E. F. McClennen (eds.), Foundations and Applications of Decision Theory. D. Reidel. pp. 125.
     
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  22. Doris ol1n.Expected Utility - 1978 - In A. Hooker, J. J. Leach & E. F. McClennen (eds.), Foundations and Applications of Decision Theory. D. Reidel. pp. 1--385.
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  23. Expected utility and constrained maximization: Problems of compatibility. [REVIEW]Hans Lottenbach - 1994 - Erkenntnis 41 (1):37 - 48.
    In recent attempts at deriving morality from rationality expected utility theory has played a major role. In the most prominent such attempt, Gauthier'sMorals by Agreement, a mode of maximizing utility calledconstrained maximization is defended. I want to show that constrained maximization or any similar proposal cannot be coherently supported by expected utility theory. First, I point to an important implication of that theory. Second, I discuss the question of what the place of constrained maximization in utility theory (...)
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  24.  14
    Applications of Non-Expected Utility.Han Bleichrodt & Ulrich Schmidt - 2009 - In Paul Anand, Prasanta Pattanaik & Clemens Puppe (eds.), Handbook of Rational and Social Choice. Oxford University Press.
  25. Expected Comparative Utility Theory: A New Theory of Rational Choice.David Robert - 2018 - Philosophical Forum 49 (1):19-37.
    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 (...)
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  26.  47
    The Sequential Dominance Argument for the Independence Axiom of Expected Utility Theory.Johan E. Gustafsson - 2020 - Philosophy and Phenomenological Research 103 (1):21-39.
    Independence is the condition that, if X is preferred to Y, then a lottery between X and Z is preferred to a lottery between Y and Z given the same probability of Z. Is it rationally required that one’s preferences conform to Independence? The main objection to this requirement is that it would rule out the alleged rationality of Allais and Ellsberg Preferences. In this paper, I put forward a sequential dominance argument with fairly weak assumptions for a variant (...)
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  27. How to Argue for Pragmatic Encroachment.Blake Roeber - 2018 - Synthese (6):2649-2664.
    Purists think that changes in our practical interests can’t affect what we know unless those changes are truth-relevant with respect to the propositions in question. Impurists disagree. They think changes in our practical interests can affect what we know even if those changes aren’t truth-relevant with respect to the propositions in question. I argue that impurists are right, but for the wrong reasons, since they haven’t appreciated the best argument for their own view. Together with “Minimalism and the Limits of (...)
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  28. To Have One's Cake and Eat It, Too: Sequential Choice and Expected-utility Violations.Wlodek Rabinowicz - 1995 - Journal of Philosophy 92 (11):586-620.
    An agent whose preferences violate the Independence Axiom or for some other reason are not representable by an expected utility function, can avoid 'dynamic inconsistency' either by foresight ('sophisticated choice') or by subsequent adjustment of preferences to the chosen plan of action ('resolute choice'). Contrary to McClennen and Machina, among others, it is argued these two seemingly conflicting approaches to 'dynamic rationality' need not be incompatible. 'Wise choice' reconciles foresight with a possibility of preference adjustment by rejecting the (...)
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  29.  90
    Great Expectations. Part I: On the Customizability of Generalized Expected Utility. [REVIEW]Francis C. Chu & Joseph Y. Halpern - 2008 - Theory and Decision 64 (1):1-36.
    We propose a generalization of expected utility that we call generalized EU (GEU), where a decision maker’s beliefs are represented by plausibility measures and the decision maker’s tastes are represented by general (i.e., not necessarily real-valued) utility functions. We show that every agent, “rational” or not, can be modeled as a GEU maximizer. We then show that we can customize GEU by selectively imposing just the constraints we want. In particular, we show how each of Savage’s postulates corresponds to (...)
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  30. A restatement of expected comparative utility theory: A new theory of rational choice under risk.David Robert - 2021 - Philosophical Forum 52 (3):221-243.
    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 (...)
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  31. Must rational intentions maximize utility?Ralph Wedgwood - 2017 - Philosophical Explorations 20 (sup2):73-92.
    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 (...)
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  32.  78
    A generalization of the theory of subjective probability and expected utility.Robin Giles - 1992 - Synthese 90 (2):301 - 343.
    A generalization of the usual approach to the expected utility theory is given, with the aim of representing the state of belief of an agent who may decline on grounds of ignorance to express a preference between a given pair of acts and would, therefore, be considered irrational from a Bayesian point of view. Taking state, act, and outcome as primitive concepts, a utility function on the outcomes is constructed in the usual way. Each act is represented by a (...)
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  33.  14
    Rational Choice Using Imprecise Probabilities and Utilities.Paul Weirich - 2021 - Cambridge: Cambridge University Press.
    An agent often does not have precise probabilities or utilities to guide resolution of a decision problem. I advance a principle of rationality for making decisions in such cases. To begin, I represent the doxastic and conative state of an agent with a set of pairs of a probability assignment and a utility assignment. Then I support a decision principle that allows any act that maximizes expected utility according to some pair of assignments in the set. Assuming that (...)
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  34.  22
    Rationality in the selection task: Epistemic utility versus uncertainty reduction.Jonathan St B. T. Evans & David E. Over - 1996 - Psychological Review 103 (2):356-363.
    M. Oaksford and N. Chater presented a Bayesian analysis of the Wason selection task in which they proposed that people choose cards in order to maximize expected information gain as measured by reduction in uncertainty in the Shannon-Weaver information theory sense. It is argued that the EIG measure is both psychologically implausible and normatively inadequate as a measure of epistemic utility. The article is also concerned with the descriptive account of findings in the selection task literature offered by Oaksford (...)
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  35. Justifying conditionalization: Conditionalization maximizes expected epistemic utility.Hilary Greaves & David Wallace - 2006 - Mind 115 (459):607-632.
    According to Bayesian epistemology, the epistemically rational agent updates her beliefs by conditionalization: that is, her posterior subjective probability after taking account of evidence X, pnew, is to be set equal to her prior conditional probability pold(·|X). Bayesians can be challenged to provide a justification for their claim that conditionalization is recommended by rationality—whence the normative force of the injunction to conditionalize? There are several existing justifications for conditionalization, but none directly addresses the idea that conditionalization will be epistemically (...)
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  36. Exceeding Expectations: Stochastic Dominance as a General Decision Theory.Christian Tarsney - manuscript
    The principle that rational agents should maximize expected utility or choiceworthiness is intuitively plausible in many ordinary cases of decision-making under uncertainty. But it is less plausible in cases of extreme, low-probability risk (like Pascal's Mugging), and intolerably paradoxical in cases like the St. Petersburg and Pasadena games. In this paper I show that, under certain conditions, stochastic dominance reasoning can capture most of the plausible implications of expectational reasoning while avoiding most of its pitfalls. Specifically, given sufficient background (...)
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  37. A note on the rational closure of knowledge bases with both positive and negative knowledge.R. Booth & J. B. Paris - 1998 - Journal of Logic, Language and Information 7 (2):165-190.
    The notion of the rational closure of a positive knowledge base K of conditional assertions θ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$i$$ \end{document} |∼ φ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$i$$ \end{document} (standing for if θ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$i$$ \end{document} then normally φ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$i$$ \end{document}) was first introduced by Lehmann (1989) and developed by Lehmann and Magidor (...)
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  38.  4
    Acknowledging caregivers’ vulnerability in the managment of challenging behaviours to reduce control measures in psychiatry.Jean Lefèvre-Utile, Marjorie Montreuil, Amélie Perron, Aymeric Reyre & Franco Carnevale - 2022 - Nursing Ethics 29 (3):758-779.
    Background:The management of challenging behaviours in inpatient with intellectual disability and/or autism spectrum disorders can lead to an escalation of control measures. In these complex situations where patients have an intellectual disability/autism spectrum disorder accompanied by a psychiatric comorbidity, the experiences of caregivers related to the crisis management have rarely been studied.Purpose:This study examined the moral experiences of caregivers related to challenging behaviours’ management and alternatives to control measures.Research design:Using Charles Taylor’s hermeneutic framework, a 2-month focused ethnography with a participatory (...)
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  39. Oskar Morgenstern.Some Reflections On Utility - 1979 - In Maurice Allais & Ole Hagen (eds.), Expected Utility Hypotheses and the Allais Paradox. D. Reidel. pp. 175.
  40. Richard M. Cyert and Morris H. Degroot.Adaptive Utility - 1979 - In Maurice Allais & Ole Hagen (eds.), Expected Utility Hypotheses and the Allais Paradox. D. Reidel. pp. 21--223.
  41. Instrumental Rationality Without Separability.Johanna Thoma - 2020 - Erkenntnis 85 (5):1219-1240.
    This paper argues that instrumental rationality is more permissive than expected utility theory. The most compelling instrumentalist argument in favour of separability, its core requirement, is that agents with non-separable preferences end up badly off by their own lights in some dynamic choice problems. I argue that once we focus on the question of whether agents’ attitudes to uncertain prospects help define their ends in their own right, or instead only assign instrumental value in virtue of the outcomes (...)
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  42. Rationality revisited.Reed Richter - 1984 - Australasian Journal of Philosophy 62 (4):392 – 403.
    This paper looks at a dispute decision theory about how best to characterize expected utility maximization and express the logic of rational choice. Where A1, … , An are actions open to some particular agent, and S1, … , Sn are mutually exclusive states of the world such that the agent knows at least one of which obtains, does the logic of rational choice require an agent to consider the conditional probability of choice Ai given that some state Si (...)
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  43.  12
    Foundations of Rational Choice Under Risk.Paul Anand - 1993 - Oxford University Press.
    Describes and evaluates a number of existing criticisms of the formal theory of rationality and subjective expected utility theory. The author argues that rationality is not a behavioural entity, but rather has to do with the relation between an agent's preferences and his or her behaviour.
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  44. Revisiting Risk and Rationality: a reply to Pettigrew and Briggs.Lara Buchak - 2015 - Canadian Journal of Philosophy 45 (5):841-862.
    I have claimed that risk-weighted expected utility maximizers are rational, and that their preferences cannot be captured by expected utility theory. Richard Pettigrew and Rachael Briggs have recently challenged these claims. Both authors argue that only EU-maximizers are rational. In addition, Pettigrew argues that the preferences of REU-maximizers can indeed be captured by EU theory, and Briggs argues that REU-maximizers lose a valuable tool for simplifying their decision problems. I hold that their arguments do not succeed and that (...)
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  45. Utility, Universality, and Impartiality in Adam Smith’s Jurisprudence.S. M. Amadae - 2008 - The Adam Smith Review 4:238-246.
    This paper examines how the concepts of utility, impartiality, and universality worked together to form the foundation of Adam Smith's jurisprudence. It argues that the theory of utility consistent with contemporary rational choice theory is insufficient to account for Smith's use of utility. Smith's jurisprudence relies on the impartial spectator's sympathetic judgment over whether third parties are injured, and not individuals' expected utility associated with individuals' expected gains from rendering judgments over innocence or guilt.
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  46. Context-dependent Utilities.Haim Gaifman & Yang Liu - 2015 - In Wiebe Van Der Hoek, Wesley H. Holliday & Wen Fang Wang (eds.), Logic, Rationality, and Interaction. Springer. pp. 90-101.
    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 (...)
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  47. Rational risk‐aversion: Good things come to those who weight.Christopher Bottomley & Timothy Luke Williamson - forthcoming - Philosophy and Phenomenological Research.
    No existing normative decision theory adequately handles risk. Expected Utility Theory is overly restrictive in prohibiting a range of reasonable preferences. And theories designed to accommodate such preferences (for example, Buchak's (2013) Risk‐Weighted Expected Utility Theory) violate the Betweenness axiom, which requires that you are indifferent to randomizing over two options between which you are already indifferent. Betweenness has been overlooked by philosophers, and we argue that it is a compelling normative constraint. Furthermore, neither Expected nor Risk‐Weighted (...)
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  48.  60
    Rational Moralists and Moral Rationalists Value-Based Management: Model, Criterion and Validation.P. Michael McCullough & Sam Faught - 2005 - Journal of Business Ethics 60 (2):195-205.
    This paper considers ethical decision making by blending three streams of related research: cognitive moral development of the decision maker, rational choice theory and a subjective expected utility model. Ethical dilemmas can be defined as situations where moral certainty is compromised by rational cognition. In this paper, the authors assume that some people use a morality-first perspective and others a rationality-first perspective. Ethical scenarios were written and used to test hypotheses derived from this perspective. The instrument developed was (...)
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  49. Rationality and its contexts.Timothy Lane - 2016 - In Timothy Joseph Lane & Tzu-Wei Hung (eds.), Rationality: Constraints and Contexts. London, U.K.: Elsevier Academic Press. pp. 3-13.
    A cursory glance at the list of Nobel Laureates for Economics is sufficient to confirm Stanovich’s description of the project to evaluate human rationality as seminal. Herbert Simon, Reinhard Selten, John Nash, Daniel Kahneman, and others, were awarded their prizes less for their work in economics, per se, than for their work on rationality, as such. Although philosophical works have for millennia attempted to describe, explicate and evaluate individual and collective aspects of rationality, new impetus was brought (...)
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  50.  54
    Capacity updating rules and rational belief change.Matthew J. Ryan - 2001 - Theory and Decision 51 (1):73-87.
    Choquet expected utility substitutes capacities for subjective probabilities to explain uncertainty aversion and related phenomena. This paper studies capacities as models of belief. The notions of inner and outer acceptance context are defined. These are shown to be the natural acceptance contexts when belief expansion is described by naïve Bayesian and Dempster–Shafer updating of capacities respectively. We also show that Eichberger and Kelsey's use of Dempster–Shafer updating as a model of belief revision may lead to violations of the AGM (...)
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