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Strategy-proofness on restricted separable domains

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  • Ricardo Martínez

    ()

  • Bernardo Moreno

    ()

Abstract

We study a problem in which 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 linear orderings. We propose a family of restrictions of the domain of separable preferences. These subdomains are generated from a partition that identifies the friends, enemies and unbiased candidates for each voter. We characterize the family of social choice functions that satisfy strategy-proofness and tops-onlyness properties on each of the subdomains. We find that these domain restrictions are not accompanied by an increase in the family of social choice functions satisfying the two properties. Copyright Springer-Verlag Berlin Heidelberg 2013

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Bibliographic Info

Article provided by Springer in its journal Review of Economic Design.

Volume (Year): 17 (2013)
Issue (Month): 4 (December)
Pages: 323-333

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Handle: RePEc:spr:reecde:v:17:y:2013:i:4:p:323-333

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Related research

Keywords: Preference aggregation; Strategy-proofness; Tops-onlyness; Voting by committees; D63; D70;

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References

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  1. Salvador Barbera & Hugo Sonnenschein & Lin Zhou, 1990. "Voting by Committees," Cowles Foundation Discussion Papers 941, Cowles Foundation for Research in Economics, Yale University.
  2. Joan-Maria Esteban & Debraj Ray, 1991. "On the Measurement of Polarization," Boston University - Institute for Economic Development 18, Boston University, Institute for Economic Development.
  3. 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).
  4. BARBERA, Salvador & MASCHLER, Michael & SHALEV, Jonathan, 1998. "Voting for voters: a model of electoral evolution," CORE Discussion Papers 1998022, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Border, Kim C & Jordan, J S, 1983. "Straightforward Elections, Unanimity and Phantom Voters," Review of Economic Studies, Wiley Blackwell, vol. 50(1), pages 153-70, January.
  6. Toyotaka Sakai, 2012. "Fair waste pricing: an axiomatic analysis to the NIMBY problem," Economic Theory, Springer, vol. 50(2), pages 499-521, June.
  7. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
  8. 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.
  9. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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