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Consistent representative democracy

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  • Chambers, Christopher P.

Abstract

We study axioms which define "representative democracy" in an environment in which agents vote over a finite set of alternatives. We focus on a property that states that whether votes are aggregated directly or indirectly makes no difference. We call this property representative consistency. Representative consistency formalizes the idea that a voting rule should be immune to gerrymandering. We characterize the class of rules satisfying unanimity, anonymity, and representative consistency. We call these rules "partial priority rules." A partial priority rule can be interpreted as a rule in which each agent can "veto" certain alternatives. We investigate the implications of imposing other axioms to the list specified above. We also study the partial priority rules in the context of specific economic models.

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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 62 (2008)
Issue (Month): 2 (March)
Pages: 348-363

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Handle: RePEc:eee:gamebe:v:62:y:2008:i:2:p:348-363

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Web page: http://www.elsevier.com/locate/inca/622836

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  1. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
  2. John Duggan & Cesar Martinelli, 1998. "A Bayesian Model of Voting in Juries," Wallis Working Papers WP14, University of Rochester - Wallis Institute of Political Economy.
  3. Jackson, Matthew O. & Barbera, Salvador, 2002. "Choosing How Choose: Self-Stable Majority Rules," Working Papers 1145, California Institute of Technology, Division of the Humanities and Social Sciences.
  4. Thomson, William, 1993. "The replacement principle in public good economies with single-peaked preferences," Economics Letters, Elsevier, vol. 42(1), pages 31-36.
  5. Blackorby, Charles & Donaldson, David, 1984. "Social criteria for evaluating population change," Journal of Public Economics, Elsevier, vol. 25(1-2), pages 13-33, November.
  6. Semih Koray, 2000. "Self-Selective Social Choice Functions Verify Arrow and Gibbarad- Satterthwaite Theorems," Econometrica, Econometric Society, vol. 68(4), pages 981-996, July.
  7. Plott, Charles R, 1973. "Path Independence, Rationality, and Social Choice," Econometrica, Econometric Society, vol. 41(6), pages 1075-91, November.
  8. Fine, Kit, 1972. "Some Necessary and Sufficient Conditions for Representative Decision on Two Alternatives," Econometrica, Econometric Society, vol. 40(6), pages 1083-90, November.
  9. Fishburn, Peter C, 1971. "The Theory of Representative Majority Decision," Econometrica, Econometric Society, vol. 39(2), pages 273-84, March.
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Cited by:
  1. Chambers, Christoper P., 2005. "An axiomatic theory of political representation," Working Papers 1218, California Institute of Technology, Division of the Humanities and Social Sciences.
  2. Sebastian Bervoets & Vincent Merlin, 2012. "Gerrymander-proof representative democracies," International Journal of Game Theory, Springer, vol. 41(3), pages 473-488, August.
  3. Quesada, Antonio, 2009. "A short step between democracy and dictatorship," MPRA Paper 19455, University Library of Munich, Germany.
  4. Sebastian Bervoets & Vincent Merlin, 2006. "Stability and Manipulation in Representative Democracies," UFAE and IAE Working Papers 669.06, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).

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