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Stochastic Dominance in Regret Theory


  • John Quiggin


The regret theory of choice under uncertainty is known to admit intransitivities in preference relations. In this paper, the stochastic dominance properties of the theory are examined. It is shown that the usual definition of first stochastic dominance is not satisfied by regret-theoretic preferences and that, in general, violations of first stochastic dominance are not merely permitted but required. An exact characterization of the stochastic dominance rule corresponding to regret-theoretic preferences is presented. This concept is weaker than the usual definition, but stronger than the notion of statewise dominance in which one prospect yields a preferred outcome with probability 1.

Suggested Citation

  • John Quiggin, 1990. "Stochastic Dominance in Regret Theory," Review of Economic Studies, Oxford University Press, vol. 57(3), pages 503-511.
  • Handle: RePEc:oup:restud:v:57:y:1990:i:3:p:503-511.

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    References listed on IDEAS

    1. Lucas, Robert Jr. & Stokey, Nancy L., 1983. "Optimal fiscal and monetary policy in an economy without capital," Journal of Monetary Economics, Elsevier, vol. 12(1), pages 55-93.
    2. Brennan,Geoffrey & Buchanan,James M., 2006. "The Power to Tax," Cambridge Books, Cambridge University Press, number 9780521027922, March.
    3. Meltzer, Allan H & Richard, Scott F, 1981. "A Rational Theory of the Size of Government," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 914-927, October.
    4. Lucas, Robert Jr., 1986. "Principles of fiscal and monetary policy," Journal of Monetary Economics, Elsevier, vol. 17(1), pages 117-134, January.
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    Cited by:

    1. Rolf Aaberge & Magne Mogstad, 2009. "On the Measurement of Long-Term Income Inequality and Income Mobility," ICER Working Papers 09-2009, ICER - International Centre for Economic Research.
    2. Chen, Daniel L. & Schonger, Martin, 2016. "Social preferences or sacred values? Theroy and evidence of deontological motivations," TSE Working Papers 16-714, Toulouse School of Economics (TSE).
    3. Syngjoo Choi & Shachar Kariv & Wieland M?ller & Dan Silverman, 2014. "Who Is (More) Rational?," American Economic Review, American Economic Association, vol. 104(6), pages 1518-1550, June.
    4. Bell, Michelle L. & Hobbs, Benjamin F. & Ellis, Hugh, 2003. "The use of multi-criteria decision-making methods in the integrated assessment of climate change: implications for IA practitioners," Socio-Economic Planning Sciences, Elsevier, vol. 37(4), pages 289-316, December.
    5. Cappelen, Alexander W. & Kariv, Shachar & Sørensen, Erik Ø. & Tungodden, Bertil, 2014. "Is There a Development Gap in Rationality?," Discussion Paper Series in Economics 8/2014, Norwegian School of Economics, Department of Economics.
    6. Han Bleichrodt & Jose Luis Pinto-Prades, 2006. "A New Type of Preference Reversal," Working Papers 06.18, Universidad Pablo de Olavide, Department of Economics.
    7. Moreno Jiménez, J.Mª & Escobar Urmeneta, Mª T., 2000. "El pesar en el proceso analítico jerárquico1," Estudios de Economía Aplicada, Estudios de Economía Aplicada, vol. 14, pages 95-115, Abril.

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