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Consistent Representative Democracy

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Author Info

  • 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 make 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

Paper provided by California Institute of Technology, Division of the Humanities and Social Sciences in its series Working Papers with number 1217.

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Length: 28 pages
Date of creation: Mar 2005
Date of revision:
Publication status: Published:
Handle: RePEc:clt:sswopa:1217

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Postal: Working Paper Assistant, Division of the Humanities and Social Sciences, 228-77, Caltech, Pasadena CA 91125
Phone: 626 395-4065
Fax: 626 405-9841
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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: social choice; representative systems; majority rule; gerrymandering;

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References

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  1. 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.
  2. Plott, Charles R, 1973. "Path Independence, Rationality, and Social Choice," Econometrica, Econometric Society, vol. 41(6), pages 1075-91, November.
  3. Blackorby, Charles & Donaldson, David, 1984. "Social criteria for evaluating population change," Journal of Public Economics, Elsevier, vol. 25(1-2), pages 13-33, November.
  4. Duggan, John & Martinelli, Cesar, 2001. "A Bayesian Model of Voting in Juries," Games and Economic Behavior, Elsevier, vol. 37(2), pages 259-294, November.
  5. Fishburn, Peter C, 1971. "The Theory of Representative Majority Decision," Econometrica, Econometric Society, vol. 39(2), pages 273-84, March.
  6. Fine, Kit, 1972. "Some Necessary and Sufficient Conditions for Representative Decision on Two Alternatives," Econometrica, Econometric Society, vol. 40(6), pages 1083-90, November.
  7. Thomson, W., 1992. "The Replacement Principle in Public Good Economies with Single-Peaked Preferences," RCER Working Papers 340, University of Rochester - Center for Economic Research (RCER).
  8. Semih Koray, 2000. "Self-Selective Social Choice Functions Verify Arrow and Gibbarad- Satterthwaite Theorems," Econometrica, Econometric Society, vol. 68(4), pages 981-996, July.
  9. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
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Citations

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Cited by:
  1. Quesada, Antonio, 2009. "A short step between democracy and dictatorship," MPRA Paper 19455, University Library of Munich, Germany.
  2. Chambers, Christoper P., 2005. "An axiomatic theory of political representation," Working Papers 1218, California Institute of Technology, Division of the Humanities and Social Sciences.
  3. Sebastian Bervoets & Vincent Merlin, 2012. "Gerrymander-proof representative democracies," International Journal of Game Theory, Springer, vol. 41(3), pages 473-488, August.
  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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