Monotone Comparative Statics without Lattices

Yeon-Koo Che, Jinwoo Kim and Fuhito Kojima

Papers from arXiv.org

Abstract: The theory of Monotone Comparative Statics (MCS) has traditionally required a lattice structure, excluding certain multidimensional environments such as mixed-strategy games where this property fails. We show that this structure is not essential. We introduce a weaker notion, the pseudo-lattice property, and preserve the theory's core results by generalizing the MCS theorems for individual choice and Tarski's fixed-point theorem. Our framework expands comparative statics to pseudo quasi-supermodular games. Crucially, it enables the first MCS analysis of mixed-strategy Nash equilibria and trembling-hand perfect equilibria.

Date: 2019-11, Revised 2026-03
New Economics Papers: this item is included in nep-des, nep-gth, nep-mic and nep-upt
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:1911.06442

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