Optimism and Pessimism with Expected Utility
Savage (1954) provided a set of axioms on preferences over acts that were equivalent to the existence of an expected utility representation. We show that in addition to this representation, there is a continuum of other "expected utility" representations in which for any act, the probability distribution over states depends on the corresponding outcomes. We suggest that optimism and pessimism can be captured by the stake-dependent probabilities in these alternative representations; e.g., for a pessimist, the probability of every outcome except the worst is distorted down from the Savage probability. Extending the DM's preferences to be defined on both subjective acts and objective lotteries, we show how one may distinguish optimists from pessimists and separate attitude towards uncertainty from curvature of the utility function over monetary prizes.
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- Grant, S. & Karni, E., 2002.
"Why Does it Matter that Beliefs and Valuations be Correctly Represented?,"
2002-12, Tilburg University, Center for Economic Research.
- Simon Grant & Edi Karni, 2005. "Why Does It Matter That Beliefs And Valuations Be Correctly Represented?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(3), pages 917-934, 08.
- Grant, Simon & Karni, Edi, 2003. "Why Does It Matter That Beliefs and Valuations Be Correctly Represented?," Working Papers 2003-02, Rice University, Department of Economics.
- Eddie Dekel & Barton L. Lipman, 2010.
"How (Not) to Do Decision Theory,"
Annual Review of Economics,
Annual Reviews, vol. 2(1), pages 257-282, 09.
- Itzhak Gilboa & Andrew Postlewaite & David Schmeidler, 2009.
"Is It Always Rational to Satisfy Savage's Axioms?,"
- Simon Grant & Ben Polak & Tomasz Strzalecki, 2010. "Second-Order Expected Utility," Working Paper 8340, Harvard University OpenScholar.
- Barton L. Lipman & Eddie Dekel, 2010.
"Costly Self Control and Random Self Indulgence,"
Boston University - Department of Economics - Working Papers Series
WP2010-020, Boston University - Department of Economics.
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