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Strategy-proof voting for single issues and cabinets

Author

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  • Maus, S.

    (Quantitative Economics)

  • Peters, H.J.M.

    (Quantitative Economics)

  • Storcken, A.J.A.

    (Quantitative Economics)

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
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Suggested Citation

  • Maus, S. & Peters, H.J.M. & Storcken, A.J.A., 2003. "Strategy-proof voting for single issues and cabinets," Research Memorandum 029, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    • Handle: RePEc:unm:umamet:2003029
    DOI: 10.26481/umamet.2003029
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
    5. 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.
    6. 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.
    7. 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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    9. Lin Zhou, 1991. "Impossibility of Strategy-Proof Mechanisms in Economies with Pure Public Goods," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(1), pages 107-119.
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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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