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Geometry and impossibility

Author

Listed:
  • Juan Perote-Peña

    (School of Management and Economics, Queen's University, Belfast BT7 1NN, U.K.)

  • Ashley Piggins

    (School of Management and Economics, Queen's University, Belfast BT7 1NN, U.K.)

Abstract

This note presents a simple proof of Arrow's impossibility theorem using Saari's [3, 4] "geometry of voting".

Suggested Citation

  • Juan Perote-Peña & Ashley Piggins, 2002. "Geometry and impossibility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(4), pages 831-836.
    • Handle: RePEc:spr:joecth:v:20:y:2002:i:4:p:831-836
    Note: Received: March 5, 2001; revised version: August 16, 2001
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    Citations

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    Cited by:

    1. Conal Duddy & Ashley Piggins, 2018. "On some oligarchy results when social preference is fuzzy," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(4), pages 717-735, December.
    2. Conal Duddy & Ashley Piggins, 2012. "The proximity condition," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 353-369, July.

    More about this item

    Keywords

    Arrow's theorem; Voting geometry; Representation triangle.;
    All these keywords.

    JEL classification:

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

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