| 重复n人随机合作对策的核心 |
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| 引用本文： | 高作峰,鄂成国,徐东方,王彩虹. 重复n人随机合作对策的核心[J]. 高校应用数学学报(A辑), 2007, 22(1): 1-8 |
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| 作者姓名： | 高作峰 鄂成国 徐东方 王彩虹 |
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| 作者单位： | 燕山大学,理学院,河北秦皇岛,066004 |
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| 基金项目： | 河北省自然科学基金 , 河北省教育厅科研项目 |
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| 摘 要： | 以Su ijs等人(1995)引入的随机合作对策的模型为基础,建立了重复n人随机合作对策的理论,定义了重复n人随机合作对策的支付序列以及支付序列的优超关系,并由此给出了重复n人随机合作对策的核心、超可加性和凸性的定义,并讨论了该核心的一些特征和性质.
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| 关 键 词： | 随机对策 重复n人随机合作对策 核心 超可加性 凸性 |
| 文章编号： | 1000-4424（2007）01-0001-08 |
| 收稿时间： | 2006-03-20 |
| 修稿时间： | 2006-03-20 |
Core of a repeated n-person stochastic cooperative game |
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| GAO Zuo-feng,E Cheng-guo,XU Dong-fang,WANG Cai-hong. Core of a repeated n-person stochastic cooperative game[J]. Applied Mathematics A Journal of Chinese Universities, 2007, 22(1): 1-8 |
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| Authors: | GAO Zuo-feng E Cheng-guo XU Dong-fang WANG Cai-hong |
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| Affiliation: | School of Sciences, Yanshan University, Qinhuangdao 066004 ,China |
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| Abstract: | Taking the model of stochastic cooperative game introduced by Suijs,et al.in 1995 as a base,this paper defines the conception of repeated stochastic cooperatvive game,the conception of its domination of payoff allocation sequence and the conception of the core of this game.Finally,it gives the character of the core of a repeated stochastic cooperative game and extends the notions of superadditivity and convexity in the game. |
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| Keywords: | stochastic game repeated n-person stochastic cooperative game core superadditivity convexity |
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