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Strategy-proof voting rules on a multidimensional policy space for a continuum of voters with elliptic preferences

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  • Peters Hans
  • Roy Souvik
  • Storcken Ton

    (METEOR)

Abstract

We consider voting rules on a multidimensional policy space for a continuum of voters with elliptic preferences. Assuming continuity, y-strategy-proofness - meaning that coalitions of size smaller or equal to a small number y cannot manipulate - and unanimity, we show that such rules are decomposable into one-dimensional rules. Requiring, additionally, anonymity leads to an impossibility result. The paper can be seen as an extension of the model of Border and Jordan (1983) to a continuum of voters. Contrary, however, to their finite case where single voters are atoms, in our model with nonatomic voters even a small amount of strategy-proofness leads to an impossibility.

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Bibliographic Info

Paper provided by Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR) in its series Research Memorandum with number 064.

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Date of creation: 2010
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Handle: RePEc:unm:umamet:2010064

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Keywords: microeconomics ;

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  1. 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).
  2. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
  3. Salvador Barberà & Dolors Berga and Bernardo Moreno, 2010. "Group Strategy-Proof Social Choice Functions with Binary Ranges and Arbitrary Domains: Characterization Results," Working Papers 448, Barcelona Graduate School of Economics.
  4. Yves Sprumont, 1995. "Strategyproof Collective Choice in Economic and Political Environments," Canadian Journal of Economics, Canadian Economics Association, vol. 28(1), pages 68-107, February.
  5. Stefan Maus & Hans Peters & Ton Storcken, 2006. "Strategy-proof voting for single issues and cabinets," Public Choice, Springer, vol. 126(1), pages 27-43, January.
  6. Zhou, Lin, 1991. "Impossibility of Strategy-Proof Mechanisms in Economies with Pure Public Goods," Review of Economic Studies, Wiley Blackwell, vol. 58(1), pages 107-19, January.
  7. 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.
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