Cooperative equilibria of strategy-form games with both nontransferable and transferable utilities

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

Operations Research Letters Pub Date : 2024-03-20 DOI:10.1016/j.orl.2024.107109

Zhe Yang, Xinyu Yang

引用次数: 0

Abstract

In this paper, we consider a class of strategy-form games with both nontransferable and transferable utilities. Inspired by NTU and TU α-core concepts, we first introduce the notion of cooperative equilibria, and prove the existence theorem in this model with finite dimensional strategy spaces. Furthermore, we extend the cooperative equilibrium existence theorem to strategy-form games with infinite dimensional strategy spaces.

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具有不可转让和可转让效用的策略形式博弈的合作均衡点

在本文中，我们考虑了一类同时具有不可转让和可转让效用的策略形式博弈。受 NTU 和 TU α 核心概念的启发，我们首先引入了合作均衡的概念，并证明了该模型中有限维度策略空间的存在性定理。此外，我们还将合作均衡存在定理扩展到无限维策略空间的策略形式博弈。

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.