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Mathematics of Plott choice functions

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  • Danilov, V.
  • Koshevoy, G.

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  • Danilov, V. & Koshevoy, G., 2005. "Mathematics of Plott choice functions," Mathematical Social Sciences, Elsevier, vol. 49(3), pages 245-272, May.
    • Handle: RePEc:eee:matsoc:v:49:y:2005:i:3:p:245-272
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    References listed on IDEAS

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    1. repec:ebl:ecbull:v:4:y:2004:i:3:p:1-3 is not listed on IDEAS
    2. 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.
    3. Blair, Douglas H, 1975. "Path-Independent Social Choice Functions: A Further Result," Econometrica, Econometric Society, vol. 43(1), pages 173-174, January.
    4. Monjardet, Bernard & Raderanirina, Vololonirina, 2001. "The duality between the anti-exchange closure operators and the path independent choice operators on a finite set," Mathematical Social Sciences, Elsevier, vol. 41(2), pages 131-150, March.
    5. Koshevoy, Gleb A., 1999. "Choice functions and abstract convex geometries," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 35-44, July.
    6. 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.
    7. Klaus Nehring, 1997. "Rational choice and revealed preference without binariness," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(3), pages 403-425.
    8. Nikolai Kukushkin, 2004. "Path independence and Pareto dominance," Economics Bulletin, AccessEcon, vol. 4(3), pages 1-3.
    9. Plott, Charles R, 1973. "Path Independence, Rationality, and Social Choice," Econometrica, Econometric Society, vol. 41(6), pages 1075-1091, November.
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    Cited by:

    1. Samson Alva & Battal Dou{g}an, 2021. "Choice and Market Design," Papers 2110.15446, arXiv.org, revised Nov 2021.
    2. Koshevoy, Gleb & Talman, Dolf, 2014. "Solution concepts for games with general coalitional structure," Mathematical Social Sciences, Elsevier, vol. 68(C), pages 19-30.
    3. 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.
    4. Chambers, Christopher P. & Miller, Alan D. & Yenmez, M. Bumin, 2020. "Closure and preferences," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 161-166.
    5. Yang, Yi-You, 2020. "Rationalizable choice functions," Games and Economic Behavior, Elsevier, vol. 123(C), pages 120-126.
    6. V. Danilov & G. Koshevoy & E. Savaglio, 2015. "Hyper-relations, choice functions, and orderings of opportunity sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 51-69, June.
    7. Matthew Ryan, 2010. "Mixture sets on finite domains," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 33(2), pages 139-147, November.
    8. Danilov, V., 2021. "Stable systems of schedule contracts," Journal of the New Economic Association, New Economic Association, vol. 51(3), pages 12-29.
    9. Danilov, V., 2012. "Outcast Condition in the Choice Theory," Journal of the New Economic Association, New Economic Association, vol. 13(1), pages 34-49.
    10. Vladimir I. Danilov, 2024. "Sequential choice functions and stability problems," Papers 2401.00748, arXiv.org, revised Mar 2024.

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