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

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Author Info

  • Banks, Jeffrey S.
  • Duggan, John

Abstract

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.

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Bibliographic Info

Paper provided by California Institute of Technology, Division of the Humanities and Social Sciences in its series Working Papers with number 1163.

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Length: 21 pages
Date of creation: May 2003
Date of revision:
Publication status: Published:
Handle: RePEc:clt:sswopa:1163

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Postal: Working Paper Assistant, Division of the Humanities and Social Sciences, 228-77, Caltech, Pasadena CA 91125
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Web page: http://www.hss.caltech.edu/ss

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Postal: Working Paper Assistant, Division of the Humanities and Social Sciences, 228-77, Caltech, Pasadena CA 91125
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Related research

Keywords: lotteries; dynamic games; representative voter; decisive voter;

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References

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  1. John Duggan & Mark Fey, . "Electoral Competition with Policy-Motivated Candidates," Wallis Working Papers WP19, University of Rochester - Wallis Institute of Political Economy.
  2. Seok-ju Cho & John Duggan, 2001. "Uniqueness of Stationary Equilibria in a one-Dimensional Model of Bargaining," Wallis Working Papers WP23, University of Rochester - Wallis Institute of Political Economy.
  3. Banks, Jeffrey S. & Duggan, John, 1999. "A Bargaining Model of Collective Choice," Working Papers 1053, California Institute of Technology, Division of the Humanities and Social Sciences.
  4. 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.
  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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Citations

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Cited by:
  1. 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.
  2. Meirowitz, Adam, 2005. "Communication and Bargaining in the Spatial Model," Papers 09-20-2005, Princeton University, Research Program in Political Economy.
  3. Hugh-Jones, David, 2010. "Explaining Institutional Change: Why Elected Politicians Implement Direct Democracy," CAGE Online Working Paper Series 25, Competitive Advantage in the Global Economy (CAGE).
  4. Roger Lagunoff, 2004. "The Dynamic Reform of Political Institutions," Econometric Society 2004 Latin American Meetings 47, Econometric Society.
  5. John Duggan & Tasos Kalandrakis, 2007. "Dynamic Legislative Policy Making," Wallis Working Papers WP45, University of Rochester - Wallis Institute of Political Economy.
  6. John Duggan & Jeffrey S. Banks, 2008. "A Dynamic Model of Democratic Elections in Multidimensional Policy Spaces," Wallis Working Papers WP53, University of Rochester - Wallis Institute of Political Economy.
  7. B. Douglas Bernheim & Sita Nataraj Slavov, 2007. "A Solution Concept for Majority Rule in Dynamic Settings," Discussion Papers 07-029, Stanford Institute for Economic Policy Research.
  8. Jean Guillaume Forand & John Duggan, 2013. "Markovian Elections," Working Papers 1305, University of Waterloo, Department of Economics, revised Oct 2013.
  9. Jean Guillaume Forand, 2010. "Two-Party Competition with Persistent Policies," Working Papers 1011, University of Waterloo, Department of Economics, revised Nov 2010.
  10. Pech, Gerald, 2012. "Intra-party decision making, party formation, and moderation in multiparty systems," Mathematical Social Sciences, Elsevier, vol. 63(1), pages 14-22.
  11. Haomiao Yu, 2012. "Point-Rationalizability in Large Games," Working Papers 030, Ryerson University, Department of Economics.

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