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A spatial analogue of May’s Theorem

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  • Richard Lee Brady

    (University of California)

  • Christopher P. Chambers

    (University of California)

Abstract

In a spatial model with Euclidean preferences, we establish that the geometric median satisfies Maskin monotonicity, anonymity, and neutrality. For three agents, it is the unique such rule.

Suggested Citation

  • Richard Lee Brady & Christopher P. Chambers, 2017. "A spatial analogue of May’s Theorem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(3), pages 657-669, December.
    • Handle: RePEc:spr:sochwe:v:49:y:2017:i:3:d:10.1007_s00355-017-1065-5
    DOI: 10.1007/s00355-017-1065-5
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    1. Dolors Berga & Bernardo Moreno, 2009. "Strategic requirements with indifference: single-peaked versus single-plateaued preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(2), pages 275-298, February.
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    4. Muller, Eitan & Satterthwaite, Mark A., 1977. "The equivalence of strong positive association and strategy-proofness," Journal of Economic Theory, Elsevier, vol. 14(2), pages 412-418, April.
    5. Brady, Richard L. & Chambers, Christopher P., 2015. "Spatial implementation," Games and Economic Behavior, Elsevier, vol. 94(C), pages 200-205.
    6. Partha Dasgupta & Peter Hammond & Eric Maskin, 1979. "The Implementation of Social Choice Rules: Some General Results on Incentive Compatibility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 46(2), pages 185-216.
    7. Cervone, Davide P. & Dai, Ronghua & Gnoutcheff, Daniel & Lanterman, Grant & Mackenzie, Andrew & Morse, Ari & Srivastava, Nikhil & Zwicker, William S., 2012. "Voting with rubber bands, weights, and strings," Mathematical Social Sciences, Elsevier, vol. 64(1), pages 11-27.
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