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Strategy-Proofness and the Tops-Only Property

  • John A. Weymark

    ()

    (Department of Economics, Vanderbilt University)

A social choice function satisfies the tops-only property if the chosen alternative only depends on each person's report of his most-preferred alternatives on the range of this function. On many domains, strategy-proofness implies the tops-only property, provided that the range of the social choice function satisfies some regularity condition. The existing proofs of this result are model specific. In this article, a general proof strategy is proposed for showing that a strategy-proof social choice function satisfies the tops-only property when everyone has the same set of admissible preferences.

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File URL: http://www.accessecon.com/pubs/VUECON/vu04-w09R.pdf
File Function: Revision, 2006
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Paper provided by Vanderbilt University Department of Economics in its series Vanderbilt University Department of Economics Working Papers with number 0409.

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Date of creation: Apr 2004
Date of revision: Sep 2006
Handle: RePEc:van:wpaper:0409
Contact details of provider: Web page: http://www.vanderbilt.edu/econ/wparchive/index.html

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  1. Barbera, S & Masso, J & Serizawa, S, 1996. "Strategy-Proof Voting on Compact Ranges," UFAE and IAE Working Papers 358.96, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  2. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
  3. Yves Sprumont, 1995. "Strategyproof Collective Choice in Economic and Political Environments," Canadian Journal of Economics, Canadian Economics Association, vol. 28(1), pages 68-107, February.
  4. 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).
  5. Mark A. Satterthwaite & Hugo Sonnenschein, 1981. "Strategy-Proof Allocation Mechanisms at Differentiable Points," Review of Economic Studies, Oxford University Press, vol. 48(4), pages 587-597.
  6. Barbera, Salvador & Jackson, Matthew O, 1995. "Strategy-Proof Exchange," Econometrica, Econometric Society, vol. 63(1), pages 51-87, January.
  7. Salvador BARBER? & Jordi MassóAuthor-Email: jordi.masso@uab.es & Alejandro NEME, 2001. "Voting by Committees under Constraints," UFAE and IAE Working Papers 501.01, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  8. Barbera, Salvador & Masso, Jordi & Neme, Alejandro, 1997. "Voting under Constraints," Journal of Economic Theory, Elsevier, vol. 76(2), pages 298-321, October.
  9. Shigehiro Serizawa, 1999. "Strategy-Proof and Symmetric Social Choice Functions for Public Good Economies," Econometrica, Econometric Society, vol. 67(1), pages 121-146, January.
  10. Kim C. Border & J. S. Jordan, 1983. "Straightforward Elections, Unanimity and Phantom Voters," Review of Economic Studies, Oxford University Press, vol. 50(1), pages 153-170.
  11. John A. Weymark, 1999. "Decomposable Strategy-Proof Social Choice Functions," The Japanese Economic Review, Japanese Economic Association, vol. 50(3), pages 343-355, 09.
  12. Dutta, Bhaskar & Peters, Hans & Sen, Arunava, 2002. "Strategy-Proof Probabilistic Mechanisms in Economies with Pure Public Goods," Journal of Economic Theory, Elsevier, vol. 106(2), pages 392-416, October.
  13. Salvador Barbera & Hugo Sonnenschein & Lin Zhou, 1990. "Voting by Committees," Cowles Foundation Discussion Papers 941, Cowles Foundation for Research in Economics, Yale University.
  14. Le Breton, Michel & Weymark, John A., 1999. "Strategy-proof social choice with continuous separable preferences," Journal of Mathematical Economics, Elsevier, vol. 32(1), pages 47-85, August.
  15. Ehlers, Lars & Peters, Hans & Storcken, Ton, 2002. "Strategy-Proof Probabilistic Decision Schemes for One-Dimensional Single-Peaked Preferences," Journal of Economic Theory, Elsevier, vol. 105(2), pages 408-434, August.
  16. Sprumont, Yves, 1991. "The Division Problem with Single-Peaked Preferences: A Characterization of the Uniform Allocation Rule," Econometrica, Econometric Society, vol. 59(2), pages 509-19, March.
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