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On strategy-proofness and symmetric single-peakedness

  • Massó, Jordi
  • Moreno de Barreda, Inés

We characterize the class of strategy-proof social choice functions on the domain of symmetric single-peaked preferences. This class is strictly larger than the set of generalized median voter schemes (the class of strategy-proof and tops-only social choice functions on the domain of single-peaked preferences characterized by Moulin, 1980) since, under the domain of symmetric single-peaked preferences, generalized median voter schemes can be disturbed by discontinuity points and remain strategy-proof on the smaller domain. Our result identifies the specific nature of these discontinuities which allow to design non-onto social choice functions to deal with feasibility constraints.

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Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 72 (2011)
Issue (Month): 2 (June)
Pages: 467-484

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Handle: RePEc:eee:gamebe:v:72:y:2011:i:2:p:467-484
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622836

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  1. Salvador Barberà & Jordi Massó & Alejandro Neme, 2001. "Voting by Committees under Constraints," Working Papers 7, Barcelona Graduate School of Economics.
  2. Salvador Barberà & Dolors Berga & Bernardo Moreno, 2009. "Individual versus group strategy-proofness: when do they coincide?," UFAE and IAE Working Papers 761.09, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  3. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
  4. Weingast, Barry R. & Wittman, Donald, 2008. "The Oxford Handbook of Political Economy," OUP Catalogue, Oxford University Press, number 9780199548477, June.
  5. Barbera, S. & Masso, J. & Neme, A., 1992. "Voting Under Constraints," UFAE and IAE Working Papers 200.92, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  6. 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).
  7. Barbera, S. & Masso, J. & Serizawa, S., 1998. "Strategy-Proof Voting on Compact Ranges," Games and Economic Behavior, Elsevier, vol. 25(2), pages 272-291, November.
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  10. Salvador Barberà, 2010. "Strategy-proof social choice," UFAE and IAE Working Papers 828.10, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  11. Bettina Klaus & Olivier Bochet, 2010. "The Relation between Monotonicity and Strategy-Proofness," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 10.01, Université de Lausanne, Faculté des HEC, DEEP.
  12. Bettina Klaus & Hans Peters & Ton Storcken, 1998. "Strategy-proof division with single-peaked preferences and individual endowments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(2), pages 297-311.
  13. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
  14. 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.
  15. Anirban Kar & Özgür Kıbrıs, 2008. "Allocating multiple estates among agents with single-peaked preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(4), pages 641-666, December.
  16. Peters, Hans & van der Stel, Hans & Storcken, Ton, 1992. "Pareto Optimality, Anonymity, and Strategy-Proofness in Location Problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(3), pages 221-35.
  17. Lin Zhou, 1991. "Impossibility of Strategy-Proof Mechanisms in Economies with Pure Public Goods," Review of Economic Studies, Oxford University Press, vol. 58(1), pages 107-119.
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  19. Lars Ehlers, 2002. "Resource-monotonic allocation when preferences are single-peaked," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(1), pages 113-131.
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