The Polymatrix Gap Conjecture

IF 0.4 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

International Game Theory Review Pub Date : 2021-11-11 DOI:10.1142/s0219198922500050

Pavel Naumov, I. Simonelli

引用次数: 0

Abstract

This paper proposes a novel way to compare classes of strategic games based on their sets of pure Nash equilibria. This approach is then used to relate the classes of zero-sum games, polymatrix, and k-polymatrix games. This paper concludes with a conjecture that k-polymatrix games form an increasing chain of classes.

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多矩阵间隙猜想

本文提出了一种基于纯纳什均衡集来比较策略博弈类的新方法。然后使用这种方法将零和博弈、多矩阵和k-多矩阵博弈类联系起来。本文给出了k-多矩阵对策形成一个递增类链的一个猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Game Theory Review MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

0.80

自引率

0.00%

发文量

期刊介绍： Rapid developments in technology, communication, industrial organization, economic integration, political reforms and international trade have made it increasingly imperative to recognize the causes and effects of strategic interdependencies and interactions. A strategic approach to decision-making is crucial in areas such as trade negotiations, foreign and domestic investments, capital accumulation, pollution control, market integration, regional cooperation, development and implementation of new technology, arms control, international resource extraction, network sharing, and competitive marketing. Since its inception, game theory has contributed significantly to the foundations of decision-making.