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Min, Max, and Sum

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Author Info
Uzi Segal () (Boston College)
Joel Sobel (University of California, San Diego)

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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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File URL: http://fmwww.bc.edu/EC-P/WP512.pdf
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Publisher Info
Paper provided by Boston College Department of Economics in its series Boston College Working Papers in Economics with number 512.

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Length: 30 pages
Date of creation: 01 Oct 2001
Date of revision:
Handle: RePEc:boc:bocoec:512

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Related research
Keywords: maximin utility; utilitarianism; Rawls social welfare function;

Other versions of this item:

Find related papers by JEL classification:
C0 - Mathematical and Quantitative Methods - - General
D1 - Microeconomics - - Household Behavior
D6 - Microeconomics - - Welfare Economics

This paper has been announced in the following NEP Reports:

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Fare, Rolf & Primont, Daniel, 1981. "Separability vs strict separability: A further result," Journal of Economic Theory, Elsevier, vol. 25(3), pages 455-460, December. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
  3. Weymark, J.A., 1990. "A Reconsideration Of The Harsanyi-Sen Debate On Utilitarianism," UBC Departmental Archives 90-03, UBC Department of Economics.
  4. Amrita Dhillon & Jean-Francois Mertens, 1999. "Relative Utilitarianism," Econometrica, Econometric Society, vol. 67(3), pages 471-498, May.
    Other versions:
  5. Mak, King-Tim, 1984. "Notes on separable preferences," Journal of Economic Theory, Elsevier, vol. 33(2), pages 309-321, August. [Downloadable!] (restricted)
  6. Maskin, Eric, 1978. "A Theorem on Utilitarianism," Review of Economic Studies, Blackwell Publishing, vol. 45(1), pages 93-96, February. [Downloadable!] (restricted)
  7. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December. [Downloadable!] (restricted)
  8. Wakker, Peter, 1989. "Continuous subjective expected utility with non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 18(1), pages 1-27, February. [Downloadable!] (restricted)
  9. Safra, Zvi & Segal, Uzi, 1998. "Constant Risk Aversion," Journal of Economic Theory, Elsevier, vol. 83(1), pages 19-42, November. [Downloadable!] (restricted)
  10. Gerard Debreu, 1959. "Topological Methods in Cardinal Utility Theory," Cowles Foundation Discussion Papers 76, Cowles Foundation, Yale University. [Downloadable!]
  11. 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.
  12. Segal, Uzi, 1992. "Additively separable representations on non-convex sets," Journal of Economic Theory, Elsevier, vol. 56(1), pages 89-99, February. [Downloadable!] (restricted)
  13. 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. [Downloadable!] (restricted)
  14. Edi Karni, 1998. "Impartiality: Definition and Representation," Econometrica, Econometric Society, vol. 66(6), pages 1405-1416, November.
  15. 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. [Downloadable!] (restricted)
  16. Roberts, Kevin W S, 1980. "Interpersonal Comparability and Social Choice Theory," Review of Economic Studies, Blackwell Publishing, vol. 47(2), pages 421-39, January. [Downloadable!] (restricted)
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