Piecewise additivity for non-expected utility
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  • 作者:Craig S. Webb
  • 关键词:Optimism ; Pessimism ; Inverse ; S ; Choquet expected utility ; NEO ; additive capacities ; Probabilistic sophistication ; D81
  • 刊名:Economic Theory
  • 出版年:2015
  • 出版时间:October 2015
  • 年:2015
  • 卷:60
  • 期:2
  • 页码:371-392
  • 全文大小:552 KB
  • 参考文献:Abdellaoui, M., Wakker, P.P.: The likelihood method for decision under uncertainty. Theory Decis. 58, 3-6 (2005)CrossRef
    Abdellaoui, M., L’Haridon, O., Zank, H.: Separating curvature and elevation: a parametric probability weighting function. J. Risk Uncertain. 4, 39-5 (2010)CrossRef
    Abdellaoui, M., Baillon, A., Placido, L., Wakker, P.P.: The rich domain of uncertainty: source functions and their experimental implementation. Am. Econ. Rev. 101, 695-23 (2011)CrossRef
    Allais, M.: Le Comportement de l’Homme Rationnel devant le Risque: Critique des Postulats et Axiomes de l’Ecole Americaine. Econometrica 21, 503-46 (1953)CrossRef
    Arrow, K.: Essays in the Theory of Risk-Bearing. Markham Publishing Company, Chicago (1970)
    Chateauneuf, A., Maccheroni, F., Marinacci, M., Tallon, J.-M.: Monotone continuous multiple priors. Econ. Theory 26, 973-82 (2005)CrossRef
    Chateauneuf, A., Eichberger, J., Grant, S.: Choice under uncertainty with best and worst in mind: NEO-additive capacities. J. Econ. Theory 137, 538-67 (2007)CrossRef
    Chew, S.H., Sagi, J.S.: Small worlds: modeling attitudes toward sources of uncertainty. J. Econ. Theory 139, 1-4 (2008)CrossRef
    Chow, C.C., Sarin, R.K.: Comparative ignorance and the Ellsberg paradox. J. Risk Uncertain. 22(2), 129-39 (2001)CrossRef
    Cohen, M.: Security level, potential level, expected utility: a three-criteria decision model under risk. Theory Decis. 33, 101-34 (1992)CrossRef
    Dominiak, A., Lefort, J.-P.: Agreement theorem for neo-additive beliefs. Econ. Theory 52, 1-3 (2013)CrossRef
    Dominiak, A., Eichberger, J., Lefort, J.-P.: Agreeable trade with pessimism and optimism. Math. Soc. Sci. 46, 119-26 (2012)CrossRef
    Eichberger, J., Kelsey, D.: Are the treasures of game theory ambiguous? Econ. Theory 48, 313-39 (2011)CrossRef
    Eichberger, J., Kelsey, D.: Optimism and pessimism in games. Int. Econ. Rev. 55, 483-05 (2014)CrossRef
    Eichberger, J., Grant, S., Lefort, J.-P.: Generalized neo-additive capacities and updating. Int. J. Econ. Theory 8(3), 237-57 (2012)CrossRef
    Ellsberg, D.: Risk, ambiguity and the Savage axioms. QJE 75, 643-69 (1961)CrossRef
    Essid, S.: Choice under risk with certainty and potential effects: a general axiomatic model. Math. Soc. Sci. 34, 223-47 (1997)CrossRef
    Ford, J., Kelsey, D., Pang, W.: Information and ambiguity: herd and contrarian behaviour in financial markets. Theory Decis. 75(1), 1-5 (2013)CrossRef
    Fox, C.R., Tversky, A.: Ambiguity aversion and comparative ignorance. QJE 110, 585-03 (1995)CrossRef
    Ghirardato, P., Maccheroni, F., Marinacci, M., Siniscalchi, M.: A subjective spin on roulette wheels. Econometrica 71(6), 1897-908 (2003)CrossRef
    Gilboa, I.: Subjective Distortions of Probabilities and Non-additive Probabilities. Working paper 18-85, Foerder Institute for Economic Research. Tel-Aviv University, Ramat Aviv, Israel (1985)
    Gilboa, I.: Expected utility with purely subjective nonadditive probabilities. J. Math. Econ. 16, 65-8 (1987)CrossRef
    Gilboa, I.: A combination of expected utility and maxmin decision criteria. J. Math. Psychol. 32, 405-20 (1988)CrossRef
    Heath, C., Tversky, A.: Preference and belief: ambiguity and competence in choice under uncertainty. J. Risk Uncertain. 4, 5-8 (1991)CrossRef
    Jaffray, J.-Y.: Choice under risk and the security factor: an axiomatic model. Theory Decis. 24, 169-00 (1988)CrossRef
    Kopylov, I.: Subjective probabilities on “small-domains. J. Econ. Theory 133, 236-65 (2007)CrossRef
    Krantz, D.H., Luce, R.D., Suppes, P., Tversky, A.: Foundations of Measurement, vol. 1 (Additive and Polynomial Representations). Academic Press, New York (1971)
    Lopes, L.L.: Between hope and fear: the psychology of risk. Adv. Exp. Psychol. 20, 255-95 (1987)CrossRef
    Ludwig, A., Zimper, A.: Biased Bayesian learning with an application to the risk-free rate puzzle. J. Econ. Dyn. Control 39, 79-7 (2014)CrossRef
    Machina, M.J., Schmeidler, D.: A more robust definition of subjective probability. Econometrica 60, 745-80 (1992)CrossRef
    Parry, M.L., Canziani, O.F., Palutikof, J.P., et al.: Technical summary. In: Parry, M.L., Canziani, O.F., Palutikof, J.P., van der Linden, P.J., Hanson, C.E. (eds.) Climate Change 2007: Impacts, Adaptation and Vulnerability. Contribution of Working Group II to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change, pp. 23-8. Cambridge University Press, Cambridge (2007)
    Romm, A.T.: An interpretation of focal point responses as non-additive beliefs. Judgm. Decis. Mak. 9(5), 387-02 (2014)
    Savage, L.J.: The Foundation of Statistics. Wiley, New York (1954)
    Schmeidler, D.: Subjective probability and expected utility without additivity. Econometrica 57, 571-87 (1989)CrossRef
    Schmidt, U., Zimper, A.: Security and potential preferences with thresholds. J. Math. Psychol. 51, 279-89 (2007)CrossRef
    Teitelbaum, J.C.: A unilateral accident model und
  • 作者单位:Craig S. Webb (1)

    1. Economics, School of Social Sciences, The University of Manchester, Oxford Road, Manchester, M13 9PL, UK
  • 刊物类别:Business and Economics
  • 刊物主题:Economics
    Economic Theory
    Economics
    Analysis
  • 出版者:Springer Berlin / Heidelberg
  • ISSN:1432-0479
文摘
A model of choice under purely subjective uncertainty, Piecewise Additive Choquet Expected utility, is introduced. PACE utility allows for optimism and pessimism simultaneously, but represents a minimal departure from expected utility. It can be seen as a continuous version of NEO-expected utility (Chateauneuf et al. in J Econ Theory 137:538-67, 2007) and, as such, is especially suited for applications with rich state spaces. The main theorem provides a preference foundation for PACE utility in the Savage framework of purely subjective uncertainty with an arbitrary outcome set. Keywords Optimism Pessimism Inverse-S Choquet expected utility NEO-additive capacities Probabilistic sophistication

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