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Monotone comparative statics: changes in preferences versus changes in the feasible set

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  • Nikolai Kukushkin

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. Copyright Springer-Verlag 2013

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  • Nikolai Kukushkin, 2013. "Monotone comparative statics: changes in preferences versus changes in the feasible set," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(3), pages 1039-1060, April.
    • Handle: RePEc:spr:joecth:v:52:y:2013:i:3:p:1039-1060
    DOI: 10.1007/s00199-011-0677-8
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    1. Koji Abe & Hajime Kobayashi & Hideo Suehiro, 2014. "Leadership in the Prisoner's Dilemma with Inequity-Averse Preferences," Discussion Papers 2014-09, Kobe University, Graduate School of Business Administration.
    2. Kukushkin, Nikolai S., 2023. "Maximizing a preference relation on complete chains and lattices," MPRA Paper 119148, University Library of Munich, Germany.
    3. Levent Ülkü, 2013. "Optimal combinatorial mechanism design," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(2), pages 473-498, June.
    4. Kukushkin, Nikolai S., 2018. "Better response dynamics and Nash equilibrium in discontinuous games," Journal of Mathematical Economics, Elsevier, vol. 74(C), pages 68-78.
    5. Nikolai S. Kukushkin, 2016. "Cournot Tatonnement in Aggregative Games with Monotone Best Responses," Springer Series in Game Theory, in: Pierre von Mouche & Federico Quartieri (ed.), Equilibrium Theory for Cournot Oligopolies and Related Games, pages 31-45, Springer.
    6. Kukushkin, Nikolai S., 2016. "Nash equilibrium with discontinuous utility functions: Reny's approach extended," MPRA Paper 75862, University Library of Munich, Germany.
    7. 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.
    8. Nikolai Kukushkin, 2015. "The single crossing conditions for incomplete preferences," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(1), pages 225-251, February.
    9. Nikolai S. Kukushkin, 2021. "Monotone comparative statics on semilattices," Economics Bulletin, AccessEcon, vol. 41(3), pages 1711-1718.

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