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策略型利他博弈中利他均衡研究

  • 王能发 ,
  • 杨哲
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  • 1. 贵州财经大学数学与统计学院, 贵州贵阳 550025;
    2. 贵州财经大学大数据统计学院, 贵州贵阳 550025;
    3. 上海财经大学经济学院, 上海 200433

收稿日期: 2023-01-13

  网络出版日期: 2026-06-12

基金资助

贵州省基础研究计划 (自然科学) 项目 (No. 黔科合基础 MS[2025]231),贵州财经大学创新探索及学术新苗项目 (No. 2024XSXMB22)

Research on altruistic equilibria in altruistic strategy-form games

  • WANG Nengfa ,
  • YANG Zhe
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  • 1 School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, Guizhou, China;
    2 College of Big Data Statistics, Guizhou University of Finance and Economics, Guiyang 550025, Guizhou, China;
    3 School of Economics, Shanghai University of Finance and Economics, Shanghai 200433, China

Received date: 2023-01-13

  Online published: 2026-06-12

摘要

本文在策略型利他博弈中假定参与人是利他的,基于此假设,引入具有偏好映射的利他博弈与利他广义博弈,并证明博弈模型中利他均衡的存在性定理。作为应用,我们在规范型博弈和不同广义博弈中给出利他均衡存在性结论。

本文引用格式

王能发 , 杨哲 . 策略型利他博弈中利他均衡研究[J]. 运筹学学报, 2026 , 30(2) : 109 -124 . DOI: 10.15960/j.cnki.issn.1007-6093.2026.02.008

Abstract

In this paper, we assume that the players are altruistic in strategy-form games. Following the idea, we introduce the altruistic games and altruistic generalized games with preference correspondences, and prove the existence theorems of altruistic equilibria. As applications, we obtain the existence theorems of altruistic equilibria for normal-form games and generalized games.

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