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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 necessary 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 unilaterally 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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Bibliographic Info

Paper provided by Barcelona Graduate School of Economics in its series Working Papers with number 753.

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Date of creation: Feb 2014
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Handle: RePEc:bge:wpaper:753

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Keywords: generalized median voting schemes; strategy-proofness; anonymity;

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  1. 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.
  2. Kalai, Ehud & Muller, Eitan, 1977. "Characterization of domains admitting nondictatorial social welfare functions and nonmanipulable voting procedures," Journal of Economic Theory, Elsevier, vol. 16(2), pages 457-469, December.
  3. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
  4. 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).
  5. 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.
  6. 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.
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