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Manipulation of Preferences and Relative Utilitarianism

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Joel Sobel

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Abstract

Given n agents with von Neumann-Morgenstern utility functions who wish to divide m commodities, consider the n-person noncooperative game with strategies consisting of concave, increasing von Neumann-Morgenstern utility functions, and whose outcomes are the relative utilitarian solution. It is shown that any constrained equal-income competitive equilibrium allocation for the true utilities is a Nash equilibrium outcome for the noncooperative game. Conditions are presented under which these are the only pure strategy equilibrium outcomes.

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Publisher Info
Paper provided by Department of Economics, UC San Diego in its series University of California at San Diego, Economics Working Paper Series with number 98-17.

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Date of creation: Jul 1998
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Handle: RePEc:cdl:ucsdec:98-17

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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. Sobel, Joel, 1981. "Distortion of Utilities and the Bargaining Problem," Econometrica, Econometric Society, vol. 49(3), pages 597-619, May. [Downloadable!] (restricted)
  2. Thomson, William, 1984. "The Manipulability of Resource Allocation Mechanisms," Review of Economic Studies, Blackwell Publishing, vol. 51(3), pages 447-60, July. [Downloadable!] (restricted)
  3. Amrita Dhillon & Jean-Francois Mertens, 1999. "Relative Utilitarianism," Econometrica, Econometric Society, vol. 67(3), pages 471-498, May.
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  4. Crawford, Vincent P. & Varian, Hal R., 1979. "Distortion of preferences and the Nash theory of bargaining," Economics Letters, Elsevier, vol. 3(3), pages 203-206. [Downloadable!] (restricted)
  5. Thomson, William, 1994. "Cooperative models of bargaining," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 35, pages 1237-1284 Elsevier. [Downloadable!] (restricted)
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  6. Kurz, Mordecai, 1977. "Distortion of preferences, income distribution, and the case for a linear income tax," Journal of Economic Theory, Elsevier, vol. 14(2), pages 291-298, April. [Downloadable!] (restricted)
  7. Alvin E Roth, 2008. "Axiomatic Models of Bargaining," Levine's Bibliography 122247000000002376, UCLA Department of Economics. [Downloadable!]
  8. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April. [Downloadable!] (restricted)
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Cited by:
(explanations, 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. Eiichi Miyagawa, 2002. "Subgame-perfect implementation of bargaining solutions," Discussion Papers 0102-16, Columbia University, Department of Economics. [Downloadable!]
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  2. Biung-Ghi Ju, 2003. "Strategy-Proof Risk Sharing," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200305, University of Kansas, Department of Economics, revised Apr 2003. [Downloadable!]
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  3. Pivato, Marcus, 2007. "Twofold Optimality of the Relative Utilitarian Bargaining Solution," MPRA Paper 2637, University Library of Munich, Germany. [Downloadable!]
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  4. Pivato, Marcus, 2006. "Approximate implementation of Relative Utilitarianism via Groves-Clarke pivotal voting with virtual money," MPRA Paper 627, University Library of Munich, Germany. [Downloadable!]
  5. Rodrigo Velez & William Thomson, 2009. "Let them cheat!," RCER Working Papers 552, University of Rochester - Center for Economic Research (RCER). [Downloadable!]
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