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A characterization of plurality-like rules based on non-manipulability, restricted efficiency, and anonymity

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  • Biung-Ghi Ju

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Abstract

A society needs to decide which issues (laws, public projects, public facilities, etc.) in an agenda to accept. The decision can be any subset of the agenda but must reflect the preferences of its members, which are assumed to be ¡°separable weak orderings¡±. We characterize a family of ¡°plurality-like¡± rules based on strategy-proofness, restricted efficiency, anonymity, and two weak axioms pertaining to the variable agenda feature of our model, called dummy independence and division indifference. We also characterize a wide spectrum of rules dropping anonymity or restricted efficiency.

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Bibliographic Info

Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 33 (2005)
Issue (Month): 3 (09)
Pages: 335-354

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Handle: RePEc:spr:jogath:v:33:y:2005:i:3:p:335-354

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Related research

Keywords: Plurality; Strategy-proofness; Efficiency; Restricted efficiency; Anonymity; Division indifference; Separable preferences; D70; D71;

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References

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  1. Plott, Charles R & Levine, Michael E, 1978. "A Model of Agenda Influence on Committee Decisions," American Economic Review, American Economic Association, vol. 68(1), pages 146-60, March.
  2. Ching, Stephen, 1996. "A Simple Characterization of Plurality Rule," Journal of Economic Theory, Elsevier, vol. 71(1), pages 298-302, October.
  3. Plott, Charles R, 1973. "Path Independence, Rationality, and Social Choice," Econometrica, Econometric Society, vol. 41(6), pages 1075-91, November.
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  6. Biung-Ghi Ju, 2003. "A characterization of strategy-proof voting rules for separable weak orderings," Social Choice and Welfare, Springer, vol. 21(3), pages 469-499, December.
  7. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
  8. Guha, Ashok, 1972. "Neutrality, Monotonicity, and the Right of Veto," Econometrica, Econometric Society, vol. 40(5), pages 821-26, September.
  9. Dov Samet & David Schmeidler, 1999. "Between Liberalism and Democracy," Game Theory and Information 9908001, EconWPA.
  10. Biung-Ghi Ju, 2005. "An efficiency characterization of plurality social choice on simple preference domains," Economic Theory, Springer, vol. 26(1), pages 115-128, 07.
  11. Kalai, Ehud & Megiddo, Nimrod, 1980. "Path Independent Choices," Econometrica, Econometric Society, vol. 48(3), pages 781-84, April.
  12. Inada, Ken-Ichi, 1969. "The Simple Majority Decision Rule," Econometrica, Econometric Society, vol. 37(3), pages 490-506, July.
  13. Le Breton, M. & Sen, A., 1995. "Strategyproofness and decomposability : Weak Orderings," G.R.E.Q.A.M. 95a38, Universite Aix-Marseille III.
  14. Michel Le Breton & Arunava Sen, 1999. "Separable Preferences, Strategyproofness, and Decomposability," Econometrica, Econometric Society, vol. 67(3), pages 605-628, May.
  15. Ken-Ichi Shimomura, 1996. "Partially efficient voting by committees," Social Choice and Welfare, Springer, vol. 13(3), pages 327-342.
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Cited by:
  1. Pritchard, Geoffrey & Wilson, Mark C., 2009. "Asymptotics of the minimum manipulating coalition size for positional voting rules under impartial culture behaviour," Mathematical Social Sciences, Elsevier, vol. 58(1), pages 35-57, July.

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