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

  • Kentaro Hatsumi

    ()

  • Dolors Berga

    ()

  • Shigehiro Serizawa

    ()

Following “Barberà et al. ( 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. Copyright Springer-Verlag Berlin Heidelberg 2014

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File URL: http://hdl.handle.net/10.1007/s00182-013-0378-6
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Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 43 (2014)
Issue (Month): 1 (February)
Pages: 153-168

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Handle: RePEc:spr:jogath:v:43:y:2014:i:1:p:153-168
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  1. Kentaro Hatsumi & Dolors Berga & Shigehiro Serizawa, 2011. "A maximal domain for strategy-proof and no-vetoer rules in the multi-object choice model," ISER Discussion Paper 0809, Institute of Social and Economic Research, Osaka University, revised Feb 2013.
  2. 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.
  3. Marc Vorsatz, 2008. "Scoring rules on dichotomous preferences," Social Choice and Welfare, Springer, vol. 31(1), pages 151-162, June.
  4. Hideyuki Mizobuchi & Shigehiro Serizawa, 2006. "Maximal Domain for Strategy-proof Rules in Allotment Economies," Social Choice and Welfare, Springer, vol. 27(1), pages 195-210, August.
  5. Salvador Barbera & Hugo Sonnenschein & Lin Zhou, 1990. "Voting by Committees," Cowles Foundation Discussion Papers 941, Cowles Foundation for Research in Economics, Yale University.
  6. Ehlers, Lars, 2002. "Coalitional Strategy-Proof House Allocation," Journal of Economic Theory, Elsevier, vol. 105(2), pages 298-317, August.
  7. 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).
  8. 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).
  9. 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.
  10. Dolors Berga, 2002. "Single-peakedness and strategy-proofness of generalized median voter schemes," Social Choice and Welfare, Springer, vol. 19(1), pages 175-192.
  11. 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.
  12. 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.
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  14. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
  15. 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).
  16. Maskin, Eric, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Wiley Blackwell, vol. 66(1), pages 23-38, January.
  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.
  18. 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.
  19. Ken-Ichi Shimomura, 1996. "Partially efficient voting by committees," Social Choice and Welfare, Springer, vol. 13(3), pages 327-342.
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