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Mixture Symmetry and Quadratic Utility

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Author Info
Chew, S H
Epstein, Larry G
Segal, U

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Abstract

The independence axiom of expected utility theory has recently been weakened to the betweenness axiom. In this paper, an even weaker axiom, called mixture symmetry, is presented. The corresponding functional structure is such that utility is a betweenness functional on part of this domain and quadratic in probabilities elsewhere. The experimental evidence against betweenness provides one motivation for the more general theory presented here. Another advantage of the mixture symmetric class of utility functions is that it is sufficiently flexible to permit the disentangling of attitudes toward risk and toward randomization. Copyright 1991 by The Econometric Society.

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Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 59 (1991)
Issue (Month): 1 (January)
Pages: 139-63
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Handle: RePEc:ecm:emetrp:v:59:y:1991:i:1:p:139-63

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  1. Zvi Safra & Uzi Segal, 2006. "Calibration Results for Non-Expected Utility Theories," Boston College Working Papers in Economics 645, Boston College Department of Economics. [Downloadable!]
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  2. John Hey, 2005. "Why We Should Not Be Silent About Noise," Experimental Economics, Springer, vol. 8(4), pages 325-345, December. [Downloadable!] (restricted)
  3. Zvi Safra & Uzi Segal, 2008. "Calibration Results for Betweenness Functionals," Boston College Working Papers in Economics 683, Boston College Department of Economics. [Downloadable!]
  4. ALLARD, Marie & BRONSARD, Camille & GOURIÉROUX, Christian, 2003. "Aversion Analysis," Cahiers de recherche 04-2003, Centre interuniversitaire de recherche en économie quantitative, CIREQ. [Downloadable!]
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    • ALLARD, Marie & BRONSARD, Camille & GOURIÉROUX Christian, 2003. "Aversion Analysis," Cahiers de recherche 2003-06, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
  5. Paola Manzini & Marco Mariotti, 2008. "On the Representation of Incomplete Preferences Over Risky Alternatives," Theory and Decision, Springer, vol. 65(4), pages 303-323, December. [Downloadable!] (restricted)
  6. David Buschena & David Zilberman, 2000. "Generalized Expected Utility, Heteroscedastic Error, and Path Dependence in Risky Choice," Journal of Risk and Uncertainty, Springer, vol. 20(1), pages 67-88, January. [Downloadable!] (restricted)
  7. Andranik Tangian & Josef Gruber, . "Constructing Quadratic, Polynomial, and Separable Objective Functions," Computing in Economics and Finance 1996 _056, Society for Computational Economics. [Downloadable!]
  8. Michele Bernasconi, 2002. "How should income be divided? questionnaire evidence from the theory of “Impartial preferences”," Journal of Economics, Springer, vol. 9(1), pages 163-195, December. [Downloadable!] (restricted)
  9. Simon Grant & Atsushi Kajii & Ben Polak, 1996. "Preference for Information," Cowles Foundation Discussion Papers 1114, Cowles Foundation, Yale University. [Downloadable!]
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  10. Ulrich Schmidt, 2001. "Lottery Dependent Utility: a Reexamination," Theory and Decision, Springer, vol. 50(1), pages 35-58, February. [Downloadable!] (restricted)
  11. Enrico Diecidue & Ulrich Schmidt & Horst Zank, 2006. "Parametric Weighting Functions," The School of Economics Discussion Paper Series 0622, Economics, The University of Manchester. [Downloadable!]
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  12. Mark J. Machina, 2000. "Payoff Kinks in Preferences over Lotteries," University of California at San Diego, Economics Working Paper Series 2000-22, Department of Economics, UC San Diego. [Downloadable!]
  13. Zvi Safra & Uzi Segal, 2009. "Risk aversion in the small and in the large: Calibration results for betweenness functionals," Journal of Risk and Uncertainty, Springer, vol. 38(1), pages 27-37, February. [Downloadable!] (restricted)
  14. Charles Mason & Jason Shogren & Chad Settle & John List, 2005. "Investigating Risky Choices Over Losses Using Experimental Data," Journal of Risk and Uncertainty, Springer, vol. 31(2), pages 187-215, September. [Downloadable!] (restricted)
  15. Zvi Safra & Uzi Segal, 2005. "Are Universal Preferences Possible? Calibration Results for Non-Expected Utility Theories," Boston College Working Papers in Economics 633, Boston College Department of Economics. [Downloadable!]
  16. Mark Machina, 2002. "Robustifying the Classical Model of Risk Preferences and Beliefs," University of California at San Diego, Economics Working Paper Series 2002-06, Department of Economics, UC San Diego. [Downloadable!]
  17. Kfir Eliaz & Debraj Ray & Ronny Razin, 2006. "Choice Shifts in Groups: A Decision-Theoretic Basis," American Economic Review, American Economic Association, vol. 96(4), pages 1321-1332, September. [Downloadable!]
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