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Fundamentals of Social Choice Theory

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  • Myerson, Roger B.

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.

Suggested Citation

  • Myerson, Roger B., 2013. "Fundamentals of Social Choice Theory," Quarterly Journal of Political Science, now publishers, vol. 8(3), pages 305-337, June.
  • Handle: RePEc:now:jlqjps:100.00013006
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    File URL: http://dx.doi.org/10.1561/100.00013006
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    References listed on IDEAS

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    1. 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.
    2. Gibbard, Allan, 1978. "Straightforwardness of Game Forms with Lotteries as Outcomes," Econometrica, Econometric Society, vol. 46(3), pages 595-614, May.
    3. 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.
    4. Sloth Birgitte, 1993. "The Theory of Voting and Equilibria in Noncooperative Games," Games and Economic Behavior, Elsevier, vol. 5(1), pages 152-169, January.
    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. 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.
    7. McKelvey, Richard D, 1979. "General Conditions for Global Intransitivities in Formal Voting Models," Econometrica, Econometric Society, vol. 47(5), pages 1085-1112, September.
    8. Roberts, Kevin W. S., 1977. "Voting over income tax schedules," Journal of Public Economics, Elsevier, vol. 8(3), pages 329-340, December.
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    Cited by:

    1. Bouton, Laurent & Gratton, Gabriele, 2015. "Majority runoff elections: strategic voting and Duverger's hypothesis," Theoretical Economics, Econometric Society, vol. 10(2), May.
    2. Jamal Nazrul Islam & Haradhan Kumar Mohajan & Pahlaj Moolio, 2009. "Political Economy and Social Welfare with Voting Procedure," KASBIT Business Journals, Khadim Ali Shah Bukhari Institute of Technology (KASBIT), vol. 2, pages 42-66, December.
    3. Saporiti, Alejandro, 2009. "Strategy-proofness and single-crossing," Theoretical Economics, Econometric Society, vol. 4(2), June.
    4. Alejandro Saporiti & Fernando Tohmé, 2006. "Single-Crossing, Strategic Voting and the Median Choice Rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 363-383, April.
    5. Mazurek, Jiří, 2015. "On a preference analysis in a group decision making," MPRA Paper 64998, University Library of Munich, Germany.
    6. Dogru, Bulent, 2013. "Arrow’un İmkânsızlık Teoremi İle Kafkasya’daki Sorunların Analizi
      [Analysis of Problems In Caucasıa Using Arrow's Impossibility Theorem]
      ," MPRA Paper 66377, University Library of Munich, Germany.
    7. Joungseok Park, 2016. "How Democracy Matters: Evidence of Electoral Incentives for Environmental Policy," Working Papers 16-20, Department of Economics, Appalachian State University.
    8. repec:ksb:journl:v:2:y:2009:i:1:p:42-66 is not listed on IDEAS

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