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Monotone comparative statics: Changes in preferences vs changes in the feasible set

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  • Kukushkin, Nikolai S.

Abstract

Let a preference ordering on a lattice be perturbed. As is well known, single crossing conditions are necessary and sufficient for a monotone reaction of the set of optimal choices from every chain. Actually, there are several interpretations of monotonicity and several corresponding single crossing conditions. We describe restrictions on the preferences that ensure a monotone reaction of the set of optimal choices from every sublattice whenever a perturbation of preferences satisfies the corresponding single crossing condition. Quasisupermodularity is necessary if we want monotonicity in every conceivable sense; otherwise, weaker conditions will do.

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  • Kukushkin, Nikolai S., 2011. "Monotone comparative statics: Changes in preferences vs changes in the feasible set," MPRA Paper 31612, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:31612
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    File URL: https://mpra.ub.uni-muenchen.de/31612/1/MPRA_paper_31612.pdf
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    References listed on IDEAS

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    Cited by:

    1. Nikolai S. Kukushkin, 2012. "On the Existence of Optima in Complete Chains and Lattices," Journal of Optimization Theory and Applications, Springer, vol. 154(3), pages 759-767, September.

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    More about this item

    Keywords

    strategic complementarity; monotone comparative statics; best response correspondence; single crossing; quasisupermodularity;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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