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Hybrid Invariance and Oligarchic Structures

Author

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  • Cato Susumu

    (Postdoctoral Fellow for Research Abroad of the Japan Society for the Promotion of Science, Institute of Social Science, University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo 113-0033, Japan)

Abstract

This study addresses the problem of Arrovian preference aggregation. Social rationality plays a crucial role in the standard Arrovian framework. However, no assumptions on social rationality are imposed here. Social preferences are allowed to be any binary relation (possibly incomplete and intransitive). We introduce the axiom of hybrid invariance, which requires that if social preferences under two preference profiles make the same judgment, then a social preference under a “hybrid” of the two profiles must extend the original judgment in a certain way. Then, we characterize the structure of decisive coalitions under hybrid invariance.

Suggested Citation

  • Cato Susumu, 2018. "Hybrid Invariance and Oligarchic Structures," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 18(1), pages 1-12, January.
    • Handle: RePEc:bpj:bejtec:v:18:y:2018:i:1:p:12:n:16
    DOI: 10.1515/bejte-2016-0145
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    References listed on IDEAS

    as
    1. H. Reiju Mihara, 1997. "Anonymity and neutrality in Arrow's Theorem with restricted coalition algebras," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(4), pages 503-512.
    2. Brown, Donald J., 1974. "An approximate solution to Arrow's problem," Journal of Economic Theory, Elsevier, vol. 9(4), pages 375-383, December.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    social choice; Arrow’s impossibility theorem; filter; hybrid invariance; Oligarchy;
    All these keywords.

    JEL classification:

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

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