The Shapley Value of Cooperative Game with Stochastic Payoffs

被引：0
|
作者：
E, Cheng-Guo [1 ]
Li, Quan-Lin [1 ]
Li, Shi-Yong [1 ]
机构：
[1] Yanshan Univ, Sch Econ & Management, Qinhuangdao 066004, Peoples R China
来源：
26TH CHINESE CONTROL AND DECISION CONFERENCE (2014 CCDC) | 2014年
关键词：
cooperative game; convexity; stochastic payoffs; Shapley value; CHANCE-CONSTRAINED SOLUTIONS; N-PERSON GAMES;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we consider cooperative game with stochastic payoffs and give the definition of the Shapley value for it, which is obtained by extending the classical case. Then we provide explicit expression for the Shapley value of the cooperative game with stochastic payoffs, and discuss its existence and uniqueness. Finally, the properties of the Shapley value of convex cooperative game with stochastic payoffs are investigated.
引用
收藏
页码：1717 / 1722
页数：6
相关论文
共 50 条
  • [1] COALITIONAL GAME WITH FUZZY PAYOFFS AND CREDIBILISTIC SHAPLEY VALUE
    Gao, J.
    Zhang, Q.
    Shen, P.
    [J]. IRANIAN JOURNAL OF FUZZY SYSTEMS, 2011, 8 (04): : 107 - 117
  • [2] Hodge decomposition and the Shapley value of a cooperative game
    Stern, Ari
    Tettenhorst, Alexander
    [J]. GAMES AND ECONOMIC BEHAVIOR, 2019, 113 : 186 - 198
  • [3] A reformulated Shapley-like value for cooperative games with interval payoffs
    Feng, Wenrui
    Han, Weibin
    Pan, Zheng
    [J]. OPERATIONS RESEARCH LETTERS, 2020, 48 (06) : 758 - 762
  • [4] Subgame Consistent Solutions of a Cooperative Stochastic Differential Game with Nontransferable Payoffs
    D.W.K. Yeung
    L.A. Petrosyan
    [J]. Journal of Optimization Theory and Applications, 2005, 124 : 701 - 724
  • [5] Subgame consistent solutions of a cooperative stochastic differential game with nontransferable payoffs
    Yeung, DWK
    Petrosyan, LA
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2005, 124 (03) : 701 - 724
  • [6] Shapley Value of a Cooperative Game with Fuzzy Set of Feasible Coalitions
    Mashchenko S.O.
    Morenets V.I.
    [J]. Cybernetics and Systems Analysis, 2017, 53 (3) : 432 - 440
  • [7] Shapley value: from cooperative game to explainable artificial intelligence
    Li M.
    Sun H.
    Huang Y.
    Chen H.
    [J]. Autonomous Intelligent Systems, 4 (1):
  • [8] The Owen Value of Stochastic Cooperative Game
    E, Cheng-Guo
    Li, Quan-Lin
    Li, Shi-Yong
    [J]. SCIENTIFIC WORLD JOURNAL, 2014,
  • [9] Generalized Shapley function for cooperative games with fuzzy payoffs
    Zou, Zhengxing
    Zhang, Qiang
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 33 (06) : 3295 - 3308
  • [10] Cooperative games with stochastic payoffs
    Suijs, J
    Borm, P
    De Waegenaere, A
    Tijs, S
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1999, 113 (01) : 193 - 205
12345