Min, Max, and Sum
AbstractThis 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 InfoPaper provided by Boston College Department of Economics in its series Boston College Working Papers in Economics with number 512.
Length: 30 pages
Date of creation: 01 Oct 2001
Date of revision:
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Postal: Boston College, 140 Commonwealth Avenue, Chestnut Hill MA 02467 USA
Web page: http://fmwww.bc.edu/EC/
More information through EDIRC
maximin utility; utilitarianism; Rawls social welfare function;
Other versions of this item:
- Segal, Uzi & Sobel, Joel, 2000. "Min, Max, and Sum," University of California at San Diego, Economics Working Paper Series qt8ms3g4t1, Department of Economics, UC San Diego.
- C0 - Mathematical and Quantitative Methods - - General
- D1 - Microeconomics - - Household Behavior
- D6 - Microeconomics - - Welfare Economics
This paper has been announced in the following NEP Reports:
- NEP-ALL-2001-10-16 (All new papers)
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- 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.
- Mak, King-Tim, 1984. "Notes on separable preferences," Journal of Economic Theory, Elsevier, vol. 33(2), pages 309-321, August.
- 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.
- Amrita Dhillon & Jean-Francois Mertens, 1999.
Econometric Society, vol. 67(3), pages 471-498, May.
- DHILLON, Amrita & MERTENS, Jean-François, 1993. "Relative Utilitarianism," CORE Discussion Papers 1993048, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- DHILLON, Amrita & MERTENS, Jean-François, . "Relative utilitarianism," CORE Discussion Papers RP -1398, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Gerard Debreu, 1959. "Topological Methods in Cardinal Utility Theory," Cowles Foundation Discussion Papers 76, Cowles Foundation for Research in Economics, Yale University.
- 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.
- Wakker, Peter, 1989. "Continuous subjective expected utility with non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 18(1), pages 1-27, February.
- Safra, Zvi & Segal, Uzi, 1998. "Constant Risk Aversion," Journal of Economic Theory, Elsevier, vol. 83(1), pages 19-42, November.
- Maskin, Eric, 1978. "A Theorem on Utilitarianism," Review of Economic Studies, Wiley Blackwell, vol. 45(1), pages 93-96, February.
- Fare, Rolf & Primont, Daniel, 1981. "Separability vs strict separability: A further result," Journal of Economic Theory, Elsevier, vol. 25(3), pages 455-460, December.
- Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
- 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.
- 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.
- Edi Karni, 1998. "Impartiality: Definition and Representation," Econometrica, Econometric Society, vol. 66(6), pages 1405-1416, November.
- 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.
- 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.
- Segal, Uzi, 1992. "Additively separable representations on non-convex sets," Journal of Economic Theory, Elsevier, vol. 56(1), pages 89-99, February.
- Roberts, Kevin W S, 1980. "Interpersonal Comparability and Social Choice Theory," Review of Economic Studies, Wiley Blackwell, vol. 47(2), pages 421-39, January.
- 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.
- 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.
- 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.
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