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Manipulability in Restricted Separable Domains

Author

Listed:
  • Ricardo Martínez

    () (Department of Economic Theory, Universidad de Málaga)

  • Bernardo Moreno

    () (Department of Economic Theory, Universidad de Málaga)

Abstract

We study a problem where a group of voters must decide which candidates are elected from a set of alternatives. The voters’ preferences on the combinations of elected candidates are represented by orderings. We propose a family of restrictions of the domain of separable preferences. These subdomains are generated from a partition that identifies, for each voter, her friends, her enemies and the unbiased candidates. We characterize the family of rules that satisfy strategy-proofness and tops-onliness on each of those subdomains.

Suggested Citation

  • Ricardo Martínez & Bernardo Moreno, 2011. "Manipulability in Restricted Separable Domains," Working Papers 2011-01, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
  • Handle: RePEc:mal:wpaper:2011-1
    as

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    File URL: http://webdeptos.uma.es/THEconomica/malagawpseries/Papers/METCwp2011-1.pdf
    File Function: First version, 2011
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    References listed on IDEAS

    as
    1. Ascensión Andina-Díaz & Miguel Meléndez-Jiménez, 2009. "Voting in small networks with cross-pressure," Spanish Economic Review, Springer;Spanish Economic Association, vol. 11(2), pages 99-124, June.
    2. Esteban, Joan & Ray, Debraj, 1994. "On the Measurement of Polarization," Econometrica, Econometric Society, vol. 62(4), pages 819-851, July.
    3. Barbera, S. & Maschler, M. & Shalev, J., 2001. "Voting for Voters: A Model of Electoral Evolution," Games and Economic Behavior, Elsevier, vol. 37(1), pages 40-78, October.
    4. 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.
    5. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    6. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
    7. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
    8. 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.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    separable preferences; aggregation; strategy-prooness; tops-onliness;

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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