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Spatial implementation

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  • Brady, Richard L.
  • Chambers, Christopher P.

Abstract

In a spatial model with Euclidean preferences, we introduce a new rule, the geometric median, and characterize it as the smallest rule (with respect to set inclusion) satisfying a collection of axioms. The geometric median is independent of the choice of coordinates and is Nash implementable.

Suggested Citation

  • Brady, Richard L. & Chambers, Christopher P., 2015. "Spatial implementation," Games and Economic Behavior, Elsevier, vol. 94(C), pages 200-205.
    • Handle: RePEc:eee:gamebe:v:94:y:2015:i:c:p:200-205
    DOI: 10.1016/j.geb.2015.06.011
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    References listed on IDEAS

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    Cited by:

    1. Hun Chung & John Duggan, 2018. "Directional equilibria," Journal of Theoretical Politics, , vol. 30(3), pages 272-305, July.
    2. 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.

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    More about this item

    Keywords

    Geometric median; Euclidean preferences; Nash implementation; Maskin monotonicity;
    All these keywords.

    JEL classification:

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

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