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Another characterization of quasisupermodularity

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  • Kukushkin, Nikolai S.

Abstract

An ordering on a lattice is quasisupermodular if and only if inserting it into any parametric optimization problem with the single crossing property cannot destroy the monotonicity of the set of optima. More detailed conditions for the monotonicity of the set of optima in a parameter influencing the preference ordering are also obtained.

Suggested Citation

  • Kukushkin, Nikolai S., 2009. "Another characterization of quasisupermodularity," MPRA Paper 16594, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:16594
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    References listed on IDEAS

    as
    1. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
    2. John K.-H Quah, 2007. "The Comparative Statics of Constrained Optimization Problems," Econometrica, Econometric Society, vol. 75(2), pages 401-431, March.
    3. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    4. Agliardi, Elettra, 2000. "A generalization of supermodularity," Economics Letters, Elsevier, vol. 68(3), pages 251-254, September.
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    Cited by:

    1. Kukushkin, Nikolai S., 2010. "On the existence of most-preferred alternatives in complete lattices," MPRA Paper 27504, University Library of Munich, Germany.

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    More about this item

    Keywords

    best response correspondence; increasing correspondence; single crossing; quasisupermodular ordering;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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