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Fundamentals of Social Choice Theory

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  • Roger B. Myerson

Abstract

This paper offers a short introduction to some of the fundamental results of social choice theory. Topics include Nash implementability, monotonic social choice correspondences, the Muller-Satterthwaite impossibility theorem, anonymous and neutral social choice correspondences, sophisticated solutions of binary agendas, the top cycle of a tournament, the bipartisan set for two-party competition, and median voter theorems. The paper begins with a simple example to illustrate the importance of multiple equilibria in game-theoretic models of political institutions.

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Bibliographic Info

Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1162.

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Date of creation: Sep 1996
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Handle: RePEc:nwu:cmsems:1162

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Postal: Center for Mathematical Studies in Economics and Management Science, Northwestern University, 580 Jacobs Center, 2001 Sheridan Road, Evanston, IL 60208-2014
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Web page: http://www.kellogg.northwestern.edu/research/math/
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References

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  1. Gibbard, Allan, 1978. "Straightforwardness of Game Forms with Lotteries as Outcomes," Econometrica, Econometric Society, vol. 46(3), pages 595-614, May.
  2. Muller, Eitan & Satterthwaite, Mark A., 1977. "The equivalence of strong positive association and strategy-proofness," Journal of Economic Theory, Elsevier, vol. 14(2), pages 412-418, April.
  3. Roberts, Kevin W. S., 1977. "Voting over income tax schedules," Journal of Public Economics, Elsevier, vol. 8(3), pages 329-340, December.
  4. Roger B. Myerson & Robert J. Weber, 1988. "A Theory of Voting Equilibria," Discussion Papers 782, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  5. Laffond G. & Laslier J. F. & Le Breton M., 1993. "The Bipartisan Set of a Tournament Game," Games and Economic Behavior, Elsevier, vol. 5(1), pages 182-201, January.
  6. McKelvey, Richard D, 1979. "General Conditions for Global Intransitivities in Formal Voting Models," Econometrica, Econometric Society, vol. 47(5), pages 1085-1112, September.
  7. Moulin, Herve, 1994. "Social choice," 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 31, pages 1091-1125 Elsevier.
  8. Sloth Birgitte, 1993. "The Theory of Voting and Equilibria in Noncooperative Games," Games and Economic Behavior, Elsevier, vol. 5(1), pages 152-169, January.
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Cited by:
  1. Alejandro Saporiti & Fernando Tohmé, 2003. "Single-Crossing, Strategic Voting and the Median Choice Rule," CEMA Working Papers: Serie Documentos de Trabajo. 237, Universidad del CEMA.
  2. Islam, Jamal & Mohajan, Haradhan & Moolio, Pahlaj, 2009. "Political Economy and Social Welfare with Voting Procedure," MPRA Paper 50671, University Library of Munich, Germany, revised 25 Sep 2009.
  3. Bouton, Laurent & Gratton, Gabriele, 0. "Majority runoff elections: strategic voting and Duverger's hypothesis," Theoretical Economics, Econometric Society.
  4. Alejandro Saporiti, 2008. "Strategy-Proofness and Single-Crossing," Wallis Working Papers WP55, University of Rochester - Wallis Institute of Political Economy.
  5. repec:ksb:journl:v:2:y:2009:i:1:p:42-66 is not listed on IDEAS
  6. Philippe De Donder & Michel Le Breton & Eugenio Peluso, 2012. "Majority Voting in Multidimensional Policy Spaces: Kramer–Shepsle versus Stackelberg," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 14(6), pages 879-909, December.

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