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

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  • Jeffrey Banks
  • John Duggan

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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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File URL: http://hdl.handle.net/10.1007/s00355-006-0090-6
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Bibliographic Info

Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 26 (2006)
Issue (Month): 2 (April)
Pages: 285-304

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Handle: RePEc:spr:sochwe:v:26:y:2006:i:2:p:285-304

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References

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  1. Duggan, John & Fey, Mark, 2005. "Electoral competition with policy-motivated candidates," Games and Economic Behavior, Elsevier, vol. 51(2), pages 490-522, May.
  2. 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.
  3. 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.
  4. Banks, Jeffrey & Duggan, John & Le Breton, Michel, 2003. "Social Choice and Electoral Competition in the General Spatial Model," IDEI Working Papers 188, Institut d'Économie Industrielle (IDEI), Toulouse.
  5. 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.
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Citations

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Cited by:
  1. Roger Lagunoff, 2007. "Markov Equilibrium in Models of Dynamic Endogenous Political Institutions," Levine's Bibliography 122247000000000876, UCLA Department of Economics.
  2. Roger Lagunoff, 2004. "The Dynamic Reform of Political Institutions," Econometric Society 2004 Latin American Meetings 47, Econometric Society.
  3. Duggan, John & Kalandrakis, Tasos, 2012. "Dynamic legislative policy making," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1653-1688.
  4. Haomiao Yu, 2012. "Point-Rationalizability in Large Games," Working Papers 030, Ryerson University, Department of Economics.
  5. Pech, Gerald, 2012. "Intra-party decision making, party formation, and moderation in multiparty systems," Mathematical Social Sciences, Elsevier, vol. 63(1), pages 14-22.
  6. 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.
  7. David Hugh-Jones, 2008. "Explaining Institutional Change: Why Elected Politicians Implement Direct Democracy," Jena Economic Research Papers 2008-085, Friedrich-Schiller-University Jena, Max-Planck-Institute of Economics.
  8. Meirowitz, Adam, 2005. "Communication and Bargaining in the Spatial Model," Papers 09-20-2005, Princeton University, Research Program in Political Economy.
  9. Jean Guillaume Forand & John Duggan, 2013. "Markovian Elections," Working Papers 1305, University of Waterloo, Department of Economics, revised Oct 2013.
  10. 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.
  11. Jean Guillaume Forand, 2010. "Two-Party Competition with Persistent Policies," Working Papers 1011, University of Waterloo, Department of Economics, revised Nov 2010.

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