Uniform Proofs of Order Independence for Various Strategy Elimination Procedures

Author:

Apt Krzysztof R.1

Affiliation:

1. National University of Singapore,

Abstract

We provide elementary and uniform proofs of order independence for various strategy elimination procedures for finite strategic games, both for dominance by pure and by mixed strategies. The proofs follow the same pattern and focus on the structural properties of the dominance relations. They rely on Newman's Lemma established in 1942 and related results on the abstract reduction systems.

Publisher

Walter de Gruyter GmbH

Subject

General Economics, Econometrics and Finance

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

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2. Iterated Elimination of Weakly Dominated Strategies in Well-Founded Games;Electronic Proceedings in Theoretical Computer Science;2023-07-11

3. Safe Pareto improvements for delegated game playing;Autonomous Agents and Multi-Agent Systems;2022-08-13

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