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Strategy-proof voting for single issues and cabinets

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  • Stefan Maus
  • Hans Peters

    ()

  • Ton Storcken

Abstract

In a model with a continuum of voters with symmetric single-peaked preferences on the one-dimensional unit interval (representing the political spectrum) a voting rule assigns to each profile of votes a point in the interval. We characterize all voting rules that are strategy-proof, anonymous, Pareto optimal, and which satisfy a weak form of continuity. This result paves the way for studying cabinet formation rules. A cabinet is an interval which has obtained sufficiently many votes. The main result on cabinet formation is a characterization of all cabinet formation rules that are strategy-proof with respect to the endpoints of the cabinet, anonymous, Pareto optimal, and continuous. Copyright Springer Science + Business Media, Inc. 2006

Suggested Citation

  • 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.
  • Handle: RePEc:kap:pubcho:v:126:y:2006:i:1:p:27-43
    DOI: 10.1007/s11127-006-4318-x
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    References listed on IDEAS

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    1. Lin Zhou, 1991. "Impossibility of Strategy-Proof Mechanisms in Economies with Pure Public Goods," Review of Economic Studies, Oxford University Press, vol. 58(1), pages 107-119.
    2. Bossert, Walter, 1989. "On the extension of preferences over a set to the power set: An axiomatic characterization of a quasi-ordering," Journal of Economic Theory, Elsevier, vol. 49(1), pages 84-92, October.
    3. Bettina Klaus & Ton Storcken, 2002. "Choice correspondences for public goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(1), pages 127-154.
    4. Nehring, Klaus & Puppe, Clemens, 1996. "Continuous Extensions of an Order on a Set to the Power Set," Journal of Economic Theory, Elsevier, vol. 68(2), pages 456-479, February.
    5. Peters, Hans & van der Stel, Hans & Storcken, Ton, 1992. "Pareto Optimality, Anonymity, and Strategy-Proofness in Location Problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(3), pages 221-235.
    6. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
    7. Ehlers, Lars & Peters, Hans & Storcken, Ton, 2002. "Strategy-Proof Probabilistic Decision Schemes for One-Dimensional Single-Peaked Preferences," Journal of Economic Theory, Elsevier, vol. 105(2), pages 408-434, August.
    8. Straffin, Philip Jr., 1994. "Power and stability in politics," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 32, pages 1127-1151 Elsevier.
    9. Kannai, Yakar & Peleg, Bezalel, 1984. "A note on the extension of an order on a set to the power set," Journal of Economic Theory, Elsevier, vol. 32(1), pages 172-175, February.
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    Cited by:

    1. Hans Peters & Souvik Roy & Ton Storcken, 2011. "Strategy-proof voting rules on a multidimensional policy space for a continuum of voters with elliptic preferences," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 2(4), pages 485-496, December.

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