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  1. Strategic games with security and potential level players.Alexander Zimper - 2007 - Theory and Decision 63 (1):53-78.
    This paper examines the existence of strategic solutions to finite normal form games under the assumption that strategy choices can be described as choices among lotteries where players have security- and potential level preferences over lotteries (e.g., Cohen, Theory and Decision, 33, 101–104, 1992, Gilboa, Journal of Mathematical Psychology, 32, 405–420, 1988, Jaffray, Theory and Decision, 24, 169–200, 1988). Since security- and potential level preferences require discontinuous utility representations, standard existence results for Nash equilibria in mixed strategies (Nash, Proceedings of (...)
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  • Piecewise linear rank-dependent utility.Craig S. Webb - 2017 - Theory and Decision 82 (3):403-414.
    Choice under risk is modelled using a piecewise linear version of rank-dependent utility. This model can be considered a continuous version of NEO-expected utility. In a framework of objective probabilities, a preference foundation is given, without requiring a rich structure on the outcome set. The key axiom is called complementary additivity.
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  • Choquet expected utility with affine capacities.Pascal Toquebeuf - 2016 - Theory and Decision 81 (2):177-187.
    This paper studies decisions under ambiguity when attention is paid to extreme outcomes. In a purely subjective framework, we propose an axiomatic characterization of affine capacities, which are Choquet capacities consisting in an affine transformation of a subjective probability. Our main axiom restricts the well-known Savage’s Sure-Thing Principle to a change in a common intermediate outcome. The representation result is then an affine combination of the expected utility of the valued act and its maximal and minimal utilities.
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  • A test of generalized expected utility theory.Barry Sopher & Gary Gigliotti - 1993 - Theory and Decision 35 (1):75-106.
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  • Lottery Dependent Utility: a Reexamination.Ulrich Schmidt - 2001 - Theory and Decision 50 (1):35-58.
    In order to accommodate empirically observed violations of the independence axiom of expected utility theory Becker and Sarin (1987) proposed their model of lottery dependent utility in which the utility of an outcome may depend on the lottery being evaluated. Although this dependence is intuitively very appealing and provides a simple functional form of the resulting decision criterion, lottery dependent utility has been nearly completely neglected in the recent literature on decision making under risk. The goal of this paper is (...)
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  • An Experimental Investigation of the Disparity Between WTA and WTP for Lotteries.Ulrich Schmidt & Stefan Traub - 2009 - Theory and Decision 66 (3):229-262.
    In this paper we experimentally investigate the disparity between willingness-to-accept (WTA) and willingness-to-pay (WTP) for risky lotteries. The direction of the income effect is reversed by endowing subjects with the highest price of a lottery when asking the WTP question. Our results show that the income effect is too small to be the only source of the disparity. Since the disparity concentrates on a subsample of subjects, parametric and nonparametric tests of the WTA-WTP ratio may lead to contradictory results. The (...)
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  • The Allais paradox: what it became, what it really was, what it now suggests to us.Philippe Mongin - 2019 - Economics and Philosophy 35 (3):423-459.
    Whereas many others have scrutinized the Allais paradox from a theoretical angle, we study the paradox from an historical perspective and link our findings to a suggestion as to how decision theory could make use of it today. We emphasize that Allais proposed the paradox as a normative argument, concerned with ‘the rational man’ and not the ‘real man’, to use his words. Moreover, and more subtly, we argue that Allais had an unusual sense of the normative, being concerned not (...)
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  • Ambiguity, pessimism, and rational religious choice.Tigran Melkonyan & Mark Pingle - 2010 - Theory and Decision 69 (3):417-438.
    Using a subclass of the α-maximin expected-utility preference model, in which the decision maker’s degree of ambiguity and degree of pessimism are each parameterized, we present a theory of religious choice in the Pascalian decision theory tradition, one that can resolve dilemmas, address the “many Gods objection,” and address the ambiguity inherent in religious choice. Parameterizing both the degree of ambiguity and the degree of pessimism allows one to examine how the two interact to impact choice, which is useful regardless (...)
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