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Min, Max, and Sum

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  • Segal, Uzi
  • Sobel, Joel

Abstract

This paper provides characterization theorems for preferences. The main assumption is partial separability, where changing a common component of two vectors does not reverse strict preferences, but may turn strict preferences into indifference. We discuss applications of our results to social choice.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 106 (2002)
Issue (Month): 1 (September)
Pages: 126-150

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Handle: RePEc:eee:jetheo:v:106:y:2002:i:1:p:126-150

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Web page: http://www.elsevier.com/locate/inca/622869

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References

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  1. DHILLON, Amrita & MERTENS, Jean-François, . "Relative utilitarianism," CORE Discussion Papers RP -1398, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Roberts, Kevin W S, 1980. "Interpersonal Comparability and Social Choice Theory," Review of Economic Studies, Wiley Blackwell, vol. 47(2), pages 421-39, January.
  3. Wakker, Peter, 1989. "Continuous subjective expected utility with non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 18(1), pages 1-27, February.
  4. Edi Karni, 1998. "Impartiality: Definition and Representation," Econometrica, Econometric Society, vol. 66(6), pages 1405-1416, November.
  5. Uzi Segal, 2000. "Let's Agree That All Dictatorships Are Equally Bad," Journal of Political Economy, University of Chicago Press, vol. 108(3), pages 569-589, June.
  6. Yaari, Menahem E., 1981. "Rawls, edgeworth, shapley, nash: Theories of distributive justice re-examined," Journal of Economic Theory, Elsevier, vol. 24(1), pages 1-39, February.
  7. Peter A. Diamond, 1967. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparison of Utility: Comment," Journal of Political Economy, University of Chicago Press, vol. 75, pages 765.
  8. John C. Harsanyi, 1953. "Cardinal Utility in Welfare Economics and in the Theory of Risk-taking," Journal of Political Economy, University of Chicago Press, vol. 61, pages 434.
  9. Blackorby, Charles & Donaldson, David, 1982. "Ratio-Scale and Translation-Scale Full Interpersonal Comparability without Domain Restrictions: Admissible Social-Evaluation Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(2), pages 249-68, June.
  10. Safra, Zvi & Segal, Uzi, 1998. "Constant Risk Aversion," Journal of Economic Theory, Elsevier, vol. 83(1), pages 19-42, November.
  11. Fare, Rolf & Primont, Daniel, 1981. "Separability vs strict separability: A further result," Journal of Economic Theory, Elsevier, vol. 25(3), pages 455-460, December.
  12. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63, pages 309.
  13. Segal, Uzi, 1992. "Additively separable representations on non-convex sets," Journal of Economic Theory, Elsevier, vol. 56(1), pages 89-99, February.
  14. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
  15. Maskin, Eric, 1978. "A Theorem on Utilitarianism," Review of Economic Studies, Wiley Blackwell, vol. 45(1), pages 93-96, February.
  16. Ben-Porath, Elchanan & Gilboa, Itzhak & Schmeidler, David, 1997. "On the Measurement of Inequality under Uncertainty," Journal of Economic Theory, Elsevier, vol. 75(1), pages 194-204, July.
  17. Mak, King-Tim, 1984. "Notes on separable preferences," Journal of Economic Theory, Elsevier, vol. 33(2), pages 309-321, August.
  18. Gerard Debreu, 1959. "Topological Methods in Cardinal Utility Theory," Cowles Foundation Discussion Papers 76, Cowles Foundation for Research in Economics, Yale University.
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Citations

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Cited by:
  1. Nabil I. Al-Najjar & Luciano De Castro, 2010. "Uncertainty, Efficiency and Incentive Compatibility," Discussion Papers 1532, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Marcello D’Agostino & Valentino Dardanoni, 2009. "What’s so special about Euclidean distance?," Social Choice and Welfare, Springer, vol. 33(2), pages 211-233, August.
  3. Hougaard, Jens Leth & Keiding, Hans, 2005. "Rawlsian maximin, Dutch books, and non-additive expected utility," Mathematical Social Sciences, Elsevier, vol. 50(3), pages 239-251, November.

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