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Outcast Condition in the Choice Theory

Author

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  • Danilov, V.

    (Central Economics and Mathematics Institute RAS, Moscow, Russia)

Abstract

In the paper we give two characterizations of choice functions satisfying the outcast condition. The first one is given in order terms, and the second (algebraic) one is given in terms of an operation on the set of stable menus. We investigate implications of associativity of the operation as well as of other strengthenings of the outcast axioms.

Suggested Citation

  • Danilov, V., 2012. "Outcast Condition in the Choice Theory," Journal of the New Economic Association, New Economic Association, vol. 13(1), pages 34-49.
    • Handle: RePEc:nea:journl:y:2012:i:13:p:34-49
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    File URL: http://www.econorus.org/repec/journl/2012-13-34-49r.pdf
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    References listed on IDEAS

    as
    1. Malishevski, Andrey V., 1994. "Path independence in serial--parallel data processing," Mathematical Social Sciences, Elsevier, vol. 27(3), pages 335-367, June.
    2. Koshevoy, Gleb A., 1999. "Choice functions and abstract convex geometries," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 35-44, July.
    3. Bernard Monjardet & Vololonirina Raderanirina, 2004. "Lattices of choice functions and consensus problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(3), pages 349-382, December.
    4. Danilov, V. & Koshevoy, G., 2005. "Mathematics of Plott choice functions," Mathematical Social Sciences, Elsevier, vol. 49(3), pages 245-272, May.
    5. Plott, Charles R, 1973. "Path Independence, Rationality, and Social Choice," Econometrica, Econometric Society, vol. 41(6), pages 1075-1091, November.
    6. Johnson, Mark R. & Dean, Richard A., 2001. "Locally complete path independent choice functions and their lattices," Mathematical Social Sciences, Elsevier, vol. 42(1), pages 53-87, July.
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    Cited by:

    1. G. A. Koshevoy, 2016. "Stability of rejections and Stable Many-to-Many Matchings," Documents de recherche 16-02, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    2. Koshevoy, Gleb & Savaglio, Ernesto, 2023. "On rational choice from lists of sets," Journal of Mathematical Economics, Elsevier, vol. 109(C).

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    More about this item

    Keywords

    choice function; heritage condition; concordance condition; associativity; path independence;
    All these keywords.

    JEL classification:

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

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