Order Nearest Comparative Statics of Equilibria

Tarun Sabarwal

No 202517, WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS from University of Kansas, Department of Economics

Abstract: Order nearest comparisons of equilibria are intrinsic in many models but general results showing such comparisons have remained elusive in the natural setting of partially ordered sets of actions and monotone selections from best choices. We provide such theorems. We apply these theorems to show rich order nearest comparative statics of equilibria in models where it was not possible do so using earlier results. We don’t use any continuity properties and subsume the earlier lattice-based theory seamlessly as a special case. Our framework includes classes of stochastic dynamic environments in decision-making under uncertainty beyond the reach of lattice-based approaches, showing the power of our new analytical tools to deepen the study of equilibrium behavior in broad new settings.

Keywords: complementarities; equilibrium; fixed point; poset; monotone comparative statics (search for similar items in EconPapers)
JEL-codes: C02 C60 C62 C70 D70 (search for similar items in EconPapers)
Pages: 42 pages
Date: 2021-09, Revised 2025-12
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Persistent link: https://EconPapers.repec.org/RePEc:kan:wpaper:202517

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