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Oligarchy for Social Choice Correspondences and Strategy-Proofness

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  • Yasuhito Tanaka

Abstract

We study the existence of a group of individuals which has some decisive power for social choice correspondences that satisfy a monotonicity property which we call modified monotonicity. And we examine the relation between modified monotonicity and strategy-proofness of social choice correspondences according to the definition by Duggan and Schwartz (2000). We will show mainly the following two results. (1) Modified monotonicity implies the existence of an oligarchy. An oligarchy is a group of individuals such that it has some decisive power (semi-decisiveness), and at least one of the most preferred alternatives of every its member is always chosen by any social choice correspondence. (2) Strategy-proofness of social choice correspondences is equivalent to modified monotonicity.

Suggested Citation

  • Yasuhito Tanaka, 2003. "Oligarchy for Social Choice Correspondences and Strategy-Proofness," Theory and Decision, Springer, vol. 55(3), pages 273-287, November.
    • Handle: RePEc:kap:theord:v:55:y:2003:i:3:p:273-287
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    Cited by:

    1. Susumu Cato, 2022. "Stable preference aggregation with infinite population," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(2), pages 287-304, August.

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