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A Social Choice Lemma on Voting over Lotteries with Applications to a Class of Dynamic Games


  • Banks, Jeffrey S.
  • Duggan, John


We prove a lemma characterizing majority preferences over lotteries on a subset of Euclidean space. Assuming voters have quadratic von Neumann-Morgenstern utility representations, and assuming existence of a majority undominated (or "core") point, the core voter is decisive: one lottery is majority-preferred to another if and only if this is the preference of the core voter. Several applications of this result to dynamic voting games are discussed.

Suggested Citation

  • Banks, Jeffrey S. & Duggan, John, 2003. "A Social Choice Lemma on Voting over Lotteries with Applications to a Class of Dynamic Games," Working Papers 1163, California Institute of Technology, Division of the Humanities and Social Sciences.
  • Handle: RePEc:clt:sswopa:1163

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    References listed on IDEAS

    1. Cho, Seok-ju & Duggan, John, 2003. "Uniqueness of stationary equilibria in a one-dimensional model of bargaining," Journal of Economic Theory, Elsevier, vol. 113(1), pages 118-130, November.
    2. Banks, Jeffrey S. & Duggan, John & Le Breton, Michel, 2006. "Social choice and electoral competition in the general spatial model," Journal of Economic Theory, Elsevier, vol. 126(1), pages 194-234, January.
    3. Duggan, John & Fey, Mark, 2005. "Electoral competition with policy-motivated candidates," Games and Economic Behavior, Elsevier, vol. 51(2), pages 490-522, May.
    4. Banks, Jeffrey s. & Duggan, John, 2000. "A Bargaining Model of Collective Choice," American Political Science Review, Cambridge University Press, vol. 94(01), pages 73-88, March.
    5. Bernhardt, Dan & Dubey, Sangita & Hughson, Eric, 2004. "Term limits and pork barrel politics," Journal of Public Economics, Elsevier, vol. 88(12), pages 2383-2422, December.
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    Cited by:

    1. Meirowitz, Adam, 2005. "Communication and Bargaining in the Spatial Model," Papers 09-20-2005, Princeton University, Research Program in Political Economy.
    2. Roger Lagunoff (Georgetown University), 2005. "Markov Equilibrium in Models of Dynamic Endogenous Political Institutions," Working Papers gueconwpa~05-05-07, Georgetown University, Department of Economics.
    3. Zapal, Jan, 2016. "Markovian equilibria in dynamic spatial legislative bargaining: Existence with three players," Games and Economic Behavior, Elsevier, vol. 98(C), pages 235-242.
    4. Haomiao Yu, 2014. "Rationalizability in large games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(2), pages 457-479, February.
    5. Câmara, Odilon & Bernhardt, Dan, 2015. "Learning about challengers," Games and Economic Behavior, Elsevier, vol. 90(C), pages 181-206.
    6. Roger Lagunoff, 2004. "The Dynamic Reform of Political Institutions," Econometric Society 2004 Latin American Meetings 47, Econometric Society.
    7. Forand, Jean Guillaume, 2014. "Two-party competition with persistent policies," Journal of Economic Theory, Elsevier, vol. 152(C), pages 64-91.
    8. Duggan, John & Kalandrakis, Tasos, 2012. "Dynamic legislative policy making," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1653-1688.
    9. Mohammad Mirhosseini, 2015. "Primaries with strategic voters: trading off electability and ideology," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 457-471, March.
    10. Haomiao Yu, 2012. "Point-Rationalizability in Large Games," Working Papers 030, Ryerson University, Department of Economics.
    11. David Hugh-Jones, 2008. "Explaining Institutional Change: Why Elected Politicians Implement Direct Democracy," Jena Economic Research Papers 2008-085, Friedrich-Schiller-University Jena.
    12. B. D. Bernheim & S. N. Slavov, 2009. "A Solution Concept for Majority Rule in Dynamic Settings," Review of Economic Studies, Oxford University Press, vol. 76(1), pages 33-62.
    13. Banks, Jeffrey S. & Duggan, John, 2008. "A Dynamic Model of Democratic Elections in Multidimensional Policy Spaces," Quarterly Journal of Political Science, now publishers, vol. 3(3), pages 269-299, October.
    14. repec:kap:pubcho:v:173:y:2017:i:1:d:10.1007_s11127-017-0462-8 is not listed on IDEAS
    15. Jean Guillaume Forand & John Duggan, 2013. "Markovian Elections," Working Papers 1305, University of Waterloo, Department of Economics, revised Oct 2013.
    16. Pech, Gerald, 2012. "Intra-party decision making, party formation, and moderation in multiparty systems," Mathematical Social Sciences, Elsevier, vol. 63(1), pages 14-22.

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    lotteries; dynamic games; representative voter; decisive voter;

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