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Comparing Generalized Median Voter Schemes According to their Manipulability

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  • R. Pablo Arribillaga

    ()

  • Jordi Massó

    ()

Abstract

We propose a simple criterion to compare generalized median voter schemes according to their manipulability. We identify three nec- essary and sufficient conditions for the comparability of two generalized median voter schemes in terms of their vulnerability to manipulation. The three conditions are stated using the two associated families of monotonic fixed ballots and depend very much on the power each agent has to unilat- erally change the outcomes of the two generalized median voter schemes. We perform a specific analysis of all median voter schemes, the anonymous subfamily of generalized median voter schemes.

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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 946.14.

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Length: 44
Date of creation: 17 Feb 2014
Date of revision:
Handle: RePEc:aub:autbar:946.14

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Keywords: Generalized Median Voting Schemes; Strategy-proofness; Anonymity.;

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  1. 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.
  2. Barbera, Salvador & Masso, Jordi & Neme, Alejandro, 1997. "Voting under Constraints," Journal of Economic Theory, Elsevier, vol. 76(2), pages 298-321, October.
  3. 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.
  4. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, 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. Ehud Kalai & Eitan Muller, 1977. "Characterization of Domains Admitting Nondictatorial Social Welfare Functions and Nonmanipulable Voting Procedures," Discussion Papers 234, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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