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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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Suggested Citation

  • Roger B. Myerson, 1996. "Fundamentals of Social Choice Theory," Discussion Papers 1162, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    • Handle: RePEc:nwu:cmsems:1162
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    References listed on IDEAS

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    1. Myerson, Roger B. & Weber, Robert J., 1993. "A Theory of Voting Equilibria," American Political Science Review, Cambridge University Press, vol. 87(1), pages 102-114, March.
    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.
    9. McKelvey, Richard D., 1976. "Intransitivities in multidimensional voting models and some implications for agenda control," Journal of Economic Theory, Elsevier, vol. 12(3), pages 472-482, June.
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    Citations

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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. ,, 2009. "Strategy-proofness and single-crossing," Theoretical Economics, Econometric Society, vol. 4(2), June.
    3. 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.
    4. Islam, Jamal & Mohajan, Haradhan & Moolio, Pahlaj, 2010. "Median voter model cannot solve all the problems of voting system," MPRA Paper 50696, University Library of Munich, Germany, revised 22 Feb 2011.
    5. 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.
    6. Jamal Nazrul Islam & Haradhan Kumar Mohajan & Pahlaj Moolio, 2009. "Preference of Social Choice in Mathematical Economics," Indus Journal of Management & Social Science (IJMSS), Department of Business Administration, vol. 3(1), pages 18-38, June.
    7. Nath, Swaprava & Sandholm, Tuomas, 2019. "Efficiency and budget balance in general quasi-linear domains," Games and Economic Behavior, Elsevier, vol. 113(C), pages 673-693.
    8. Dong, Lu & Falvey, Rod & Luckraz, Shravan, 2019. "Fair share and social efficiency: A mechanism in which peers decide on the payoff division," Games and Economic Behavior, Elsevier, vol. 115(C), pages 209-224.
    9. Lê Nguyên Hoang, 2017. "Strategy-proofness of the randomized Condorcet voting system," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(3), pages 679-701, March.
    10. Mazurek, Jiří, 2015. "On a preference analysis in a group decision making," MPRA Paper 64998, University Library of Munich, Germany.
    11. 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.
    12. Joungseok Park, 2016. "How Democracy Matters: Evidence of Electoral Incentives for Environmental Policy," Working Papers 16-20, Department of Economics, Appalachian State University.
    13. Islam, Jamal & Mohajan, Haradhan & Moolio, Pahlaj, 2010. "Methods of voting system and manipulation of voting," MPRA Paper 50854, University Library of Munich, Germany, revised 06 May 2010.
    14. Jamal Nazrul Islam & Haradhan Kumar Mohajan & Pahlaj Moolio, 2009. "Political Economy and Social Welfare with Voting Procedure," KASBIT Business Journals (KBJ), Khadim Ali Shah Bukhari Institute of Technology (KASBIT), vol. 2, pages 42-66, December.
    15. Wojciech Pizlo & Anna Mazurkiewicz-Pizlo, 2023. "Gamification - Use in Tourism Business Management," European Research Studies Journal, European Research Studies Journal, vol. 0(2), pages 390-409.
    16. Klaus Schmidt-Hebbel & José Carlos Tello, 2014. "The Political Economy of Growth, Inequality, the Size and Composition of Government Spending," Documentos de Trabajo / Working Papers 2014-380, Departamento de Economía - Pontificia Universidad Católica del Perú.
    17. Csóka, Péter & Kondor, Gábor, 2019. "Delegációk igazságos kiválasztása társadalmi választások elméletével [Choosing a fair delegation by social choice theory]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(7), pages 771-787.
    18. Aleksandar Hatzivelkos, 2018. "Borda and Plurality Comparison with Regard to Compromise as a Sorites Paradox," Interdisciplinary Description of Complex Systems - scientific journal, Croatian Interdisciplinary Society Provider Homepage: http://indecs.eu, vol. 16(3-B), pages 465-484.
    19. Wojciech Paczynski, 2003. "ECB Decision-making and the Status of the Eurogroup in an Enlarged EMU," CASE Network Studies and Analyses 0262, CASE-Center for Social and Economic Research.
    20. repec:ksb:journl:v:2:y:2009:i:1:p:42-66 is not listed on IDEAS
    21. Alejandro Saporiti, 2006. "Strategic voting on single-crossing domains," Economics Discussion Paper Series 0617, Economics, The University of Manchester.
    22. Lirong Xia, 2024. "Computing Most Equitable Voting Rules," Papers 2410.04179, arXiv.org.

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