Extension of backward induction for the enumeration of pure Nash equilibria outcomes

IF 0.8 4区管理学 Q4 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

Operations Research Letters Pub Date : 2025-05-16 DOI:10.1016/j.orl.2025.107305

Paolo Zappalà , Amal Benhamiche , Matthieu Chardy , Francesco De Pellegrini , Rosa Figueiredo

引用次数: 0

Abstract

Extensive-form games with perfect information admit at least one Nash equilibrium. The backward induction algorithm identifies in linear time a Nash equilibrium of the game, called subgame perfect. We introduce an extension of the backward induction algorithm which is the first to identify all the outcomes of pure Nash equilibria of the game in linear time with respect to the size of the game.

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来源期刊

Operations Research Letters 管理科学-运筹学与管理科学

CiteScore

2.10

自引率

9.10%

发文量

111

审稿时长

83 days

期刊介绍： Operations Research Letters is committed to the rapid review and fast publication of short articles on all aspects of operations research and analytics. Apart from a limitation to eight journal pages, quality, originality, relevance and clarity are the only criteria for selecting the papers to be published. ORL covers the broad field of optimization, stochastic models and game theory. Specific areas of interest include networks, routing, location, queueing, scheduling, inventory, reliability, and financial engineering. We wish to explore interfaces with other fields such as life sciences and health care, artificial intelligence and machine learning, energy distribution, and computational social sciences and humanities. Our traditional strength is in methodology, including theory, modelling, algorithms and computational studies. We also welcome novel applications and concise literature reviews.