On the hybrid solutions of set payoff games

IF 0.9 4区管理学 Q4 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

Operations Research Letters Pub Date : 2025-08-27 DOI:10.1016/j.orl.2025.107358

Yunbing Li, Wensheng Jia, Shuwen Xiang

引用次数: 0

Abstract

This paper investigates hybrid solutions in set payoff games with finite and infinite sets of players, respectively. For finite-player games, we introduce hybrid solutions, establish their existence in finite-dimensional Euclidean spaces using Scarf's theorem (Scarf, 1967 [29]) and the Kakutani fixed point theorem, and extend these results to Hausdorff topological vector spaces. For infinite-player games, we develop the concept of finite-coalition hybrid solutions and prove their existence. Our results generalize the existence of hybrid solutions in n-person games (Zhao, 1992 [12]).

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集收益博弈的混合解

本文分别研究了有限和无限参与人集合收益博弈的混合解。对于有限人博弈，我们引入混合解，利用Scarf定理（Scarf, 1967[29]）和Kakutani不动点定理在有限维欧几里德空间中建立了它们的存在性，并将这些结果推广到Hausdorff拓扑向量空间。对于无限人对策，我们提出了有限联盟混合解的概念，并证明了它们的存在性。我们的结果推广了n人博弈中混合解的存在性（Zhao, 1992[12]）。

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

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.