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Scoring Rules on Dichotomous Preferences

In this paper, we study individual incentives to report preferences truthfully for the special case when individuals have dichotomous preferences on the set of alternatives and preferences are aggregated in form of scoring rules. In particular, we show that (a) the Borda Count coincides with Approval Voting on the dichotomous preference domain, (b) the Borda Count is the only strategy-proof scoring rule on the dichotomous preference domain, and (c) if at least three individuals participate in the election, then the dichotomous preference domain is the unique maximal rich domain under which the Borda Count is strategy-proof.

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Paper provided by Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC) in its series UFAE and IAE Working Papers with number 617.04.

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Length: 23
Date of creation: 09 Aug 2004
Date of revision:
Handle: RePEc:aub:autbar:617.04
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  1. Bogomolnaia, Anna & Moulin, Herve & Stong, Richard, 2005. "Collective choice under dichotomous preferences," Journal of Economic Theory, Elsevier, vol. 122(2), pages 165-184, June.
  2. Ching, Stephen & Serizawa, Shigehiro, 1998. "A Maximal Domain for the Existence of Strategy-Proof Rules," Journal of Economic Theory, Elsevier, vol. 78(1), pages 157-166, January.
  3. Martin Barbie & Clemens Puppe & Attila Tasnadi, 2003. "Non-Manipulable Domains for the Borda Count," Bonn Econ Discussion Papers bgse13_2003, University of Bonn, Germany.
  4. Saari, Donald G, 1990. " Susceptibility to Manipulation," Public Choice, Springer, vol. 64(1), pages 21-41, January.
  5. Berga, Dolors & Serizawa, Shigehiro, 2000. "Maximal Domain for Strategy-Proof Rules with One Public Good," Journal of Economic Theory, Elsevier, vol. 90(1), pages 39-61, January.
  6. Barbera, S. & Sonnenschein, H., 1988. "Voting By Quota And Committee," UFAE and IAE Working Papers 95-88, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  7. Michael Dummett, 1998. "The Borda count and agenda manipulation," Social Choice and Welfare, Springer, vol. 15(2), pages 289-296.
  8. David A. Smith, 1999. "Manipulability measures of common social choice functions," Social Choice and Welfare, Springer, vol. 16(4), pages 639-661.
  9. Salvador Barbera & Hugo Sonnenschein & Lin Zhou, 1990. "Voting by Committees," Cowles Foundation Discussion Papers 941, Cowles Foundation for Research in Economics, Yale University.
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