Shapley值及其应用  

Shapley Value and its Application

作　　者：吴孟达[1] 毛紫阳[1] 王丹[1] WU Mengda;MAO Ziyang;WANG Dan(School of Science,National University of Defense Technology,Changsha,Hunan 410073,China)

机构地区：[1]国防科技大学理学院,湖南长沙410073

出　　处：《数学建模及其应用》2024年第1期110-119,共10页Mathematical Modeling and Its Applications

摘　　要：Shapley值是合作博弈理论中最重要的概念之一,其在经济学、社会管理等领域具有十分广泛的应用.本文回顾了合作博弈的Shapley值的理论研究,并从Shapley-Shubik权力指数、拼车费用分摊、图博弈的Page-Shapley值以及SHAP方法与机器学习等4个方面介绍了Shapley值的应用进展.Shapley value is one of the most important concepts in the theory of cooperative games,which has a very wide range of applications in economics,social management and other fields.This paper reviews the theoretical research on Shapley value of cooperative games,and introduces the application progress of Shapley value application from four aspects:Shapley-Shubik power index,carpooling cost sharing,Page-Shapley value of graph games,SHAP method and machine learning.

关 键 词：合作博弈 SHAPLEY值 权力指数 图博弈 SHAP方法 

分 类 号：O29[理学—应用数学]