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A maximal domain for strategy-proof and no-vetoer rules in the multi-object choice model

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  • Kentaro Hatsumi
  • Dolors Berga
  • Shigehiro Serizawa

Abstract

Following Barbera, Sonnenschein, and Zhou (1991, Econometrica 59, 595-609), we study rules (or social choice functions) through which agents select a subset from a set of objects. We investigate domains on which there exist nontrivial strategy-proof rules. We establish that the set of separable preferences is a maximal domain for the existence of rules satisfying strategy-proofness and no-vetoer.

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File URL: http://www.iser.osaka-u.ac.jp/library/dp/2011/DP0809R.pdf
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Bibliographic Info

Paper provided by Institute of Social and Economic Research, Osaka University in its series ISER Discussion Paper with number 0809.

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Date of creation: Mar 2011
Date of revision: Feb 2013
Handle: RePEc:dpr:wpaper:0809

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  1. D. Berga & G. Bergantiños & J. Massó & A. Neme, 2006. "On Exiting After Voting," International Journal of Game Theory, Springer, vol. 34(1), pages 33-54, April.
    • Dolors Berga & Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2003. "On exiting after voting," Estudios de Economia, University of Chile, Department of Economics, vol. 30(2 Year 20), pages 261-288, December.
  2. Marc Vorsatz, 2008. "Scoring rules on dichotomous preferences," Social Choice and Welfare, Springer, vol. 31(1), pages 151-162, June.
  3. Maskin, Eric, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Wiley Blackwell, vol. 66(1), pages 23-38, January.
  4. Barbera Salvador & Gul Faruk & Stacchetti Ennio, 1993. "Generalized Median Voter Schemes and Committees," Journal of Economic Theory, Elsevier, vol. 61(2), pages 262-289, December.
  5. Hideyuki Mizobuchi & Shigehiro Serizawa, 2005. "Maximal Domain for Strategy-Proof Rules in Allotment Economies," ISER Discussion Paper 0628, Institute of Social and Economic Research, Osaka University.
  6. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
  7. Dolors Berga, 2002. "Single-peakedness and strategy-proofness of generalized median voter schemes," Social Choice and Welfare, Springer, vol. 19(1), pages 175-192.
  8. Ken-Ichi Shimomura, 1996. "Partially efficient voting by committees," Social Choice and Welfare, Springer, vol. 13(3), pages 327-342.
  9. Dolors Berga & Gustavo Berganti?s & Jordi MassóAuthor-Email: jordi.masso@uab.es & Alejandro Neme, 2002. "Voting by Committees with Exit," UFAE and IAE Working Papers 511.02, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  10. Serizawa Shigehiro, 1995. "Power of Voters and Domain of Preferences Where Voting by Committees Is Strategy-Proof," Journal of Economic Theory, Elsevier, vol. 67(2), pages 599-608, December.
  11. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
  12. Berga, D & Serizawa, S, 1996. "Maximal Domain for Strategy-Proof Rules with one Public Good," UFAE and IAE Working Papers 353.96, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  13. 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.
  14. Nehring, Klaus & Puppe, Clemens, 2007. "The structure of strategy-proof social choice -- Part I: General characterization and possibility results on median spaces," Journal of Economic Theory, Elsevier, vol. 135(1), pages 269-305, July.
  15. Ehlers, Lars, 2002. "Coalitional Strategy-Proof House Allocation," Journal of Economic Theory, Elsevier, vol. 105(2), pages 298-317, August.
  16. Alejandro Neme & Jordi MassÔ & Salvador BarberÁ, 1999. "Maximal domains of preferences preserving strategy-proofness for generalized median voter schemes," Social Choice and Welfare, Springer, vol. 16(2), pages 321-336.
  17. Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
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Cited by:
  1. R. Pablo Arribillaga & Jordi Massó, 2014. "Comparing Generalized Median Voter Schemes According to their Manipulability," UFAE and IAE Working Papers 946.14, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  2. R. Pablo Arribillaga & Jordi Massó, 2014. "Comparing Generalized Median Voter Schemes According to their Manipulability," Working Papers 753, Barcelona Graduate School of Economics.
  3. Shuhei Morimoto, 2013. "Maximal domain for strategy-proof probabilistic rules in economies with one public good," Social Choice and Welfare, Springer, vol. 41(3), pages 637-669, September.

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