零和博弈中的战略投资

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-06-24 DOI:10.1007/s11590-024-02130-z

Raul Garcia, Seyedmohammadhossein Hosseinian, Mallesh Pai, Andrew J. Schaefer

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引用次数: 0

摘要

我们提出了双人零和博弈的一种扩展，在这种博弈中，一方可以在预算约束下为自己和对手选择可用的行动。我们提出了该问题的混合整数线性规划（MILP）公式，提供了有关其求解的分析结果，并讨论了在安全和广告领域的应用。我们的计算实验证明，启发式方法平均会产生次优解，与 MILP 公式得到的解至少有 20% 的相对差距。

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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Strategy investments in zero-sum games

We propose an extension of two-player zero-sum games, where one player may select available actions for themselves and the opponent, subject to a budget constraint. We present a mixed-integer linear programming (MILP) formulation for the problem, provide analytical results regarding its solution, and discuss applications in the security and advertising domains. Our computational experiments demonstrate that heuristic approaches, on average, yield suboptimal solutions with at least a 20% relative gap with those obtained by the MILP formulation.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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