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Locating a public good on a sphere

Author

Listed:
  • Chatterjee, S.

    (Quantitative Economics)

  • Peters, H.J.M.

    (Quantitative Economics)

  • Storcken, A.J.A.

    (Quantitative Economics)

Abstract

It is shown that in a model where agents have single-peaked preferences on the sphere, every Pareto optimal social choice function that is strict or coalitional strategy-proof, is dictatorial.

Suggested Citation

  • Chatterjee, S. & Peters, H.J.M. & Storcken, A.J.A., 2015. "Locating a public good on a sphere," Research Memorandum 028, Maastricht University, Graduate School of Business and Economics (GSBE).
    • Handle: RePEc:unm:umagsb:2015028
    DOI: 10.26481/umagsb.2015028
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    References listed on IDEAS

    as
    1. Öztürk, Murat & Peters, Hans & Storcken, Ton, 2013. "Strategy-proof location of a public bad on a disc," Economics Letters, Elsevier, vol. 119(1), pages 14-16.
    2. Kirman, Alan P. & Sondermann, Dieter, 1972. "Arrow's theorem, many agents, and invisible dictators," Journal of Economic Theory, Elsevier, vol. 5(2), pages 267-277, October.
    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. Kim C. Border & J. S. Jordan, 1983. "Straightforward Elections, Unanimity and Phantom Voters," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(1), pages 153-170.
    6. Bengt Hansson, 1976. "The existence of group preference functions," Public Choice, Springer, vol. 28(1), pages 89-98, December.
    7. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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    Cited by:

    1. Segal-Halevi, Erel & Nitzan, Shmuel & Hassidim, Avinatan & Aumann, Yonatan, 2017. "Fair and square: Cake-cutting in two dimensions," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 1-28.
    2. Peters, Hans & Roy, Souvik & Sadhukhan, Soumyarup & Storcken, Ton, 2017. "An extreme point characterization of strategy-proof and unanimous probabilistic rules over binary restricted domains," Journal of Mathematical Economics, Elsevier, vol. 69(C), pages 84-90.
    3. Chen, Jingjing & Risberg, Mikael & Westerlund, Lars & Jansson, Urban & Lu, Xiaohua & Wang, Changsong & Ji, Xiaoyan, 2020. "A high efficient heat exchanger with twisted geometries for biogas process with manure slurry," Applied Energy, Elsevier, vol. 279(C).
    4. Lahiri, Abhinaba & Peters, Hans & Storcken, Ton, 2017. "Strategy-proof location of public bads in a two-country model," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 150-159.

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    More about this item

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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