N-Person Noncooperative Game with Infinite Strategic Space

机译：具有无限战略空间的N人非合作博弈

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It is wel-known that Nash considered the n-person noncoop-erative game with each player having finite strategic set and proved the celebrated existence result of Nash equilibrium point (in mixed strategies). This paper investigates the n-person noncooperative game with each player having infinite strategic set. By considering these infinite strategic as complete metric spaces and based on a new finite equilibrium system, we obtain new existence result of Nash equilibrium. Then an algorithm is given to compute Nash equilibrium points and its convergence is proved.

机译：众所周知，纳什考虑了每人具有有限策略集的n人非合作游戏，并证明了纳什均衡点在混合策略中的显着存在结果。本文研究了每人具有无限策略集的n人非合作游戏。通过将这些无限策略视为完整的度量空间，并基于新的有限均衡系统，我们获得了Nash均衡的新存在结果。给出了计算纳什均衡点的算法，证明了算法的收敛性。

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来源
《International Conference on Algorithmic Applications in Management(AAIM 2005); 20050622-25; Xian(CN)》|2005年|P.77-84|共8页
会议地点 Xian(CN)
作者
Hui Yu; Jian Chen; Caihong Sun;
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作者单位

School of Economics and Management, Tsinghua University, Beijing, China;

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原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;
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专利

1. Two noncooperative games between a coalition and its surrounding in a class of n-person games with constant sum [J] . Belenky AS. Applied mathematics letters . 2003,第5期

机译：一类具有恒定总和的n人博弈中的联盟与其周围环境之间的两个非合作博弈
2. Existence of Generalized Nash Equilibrium in n-Person Noncooperative Games under Incomplete Preference [J] . Li Xingchang Journal of Function Spaces . 2018,第1期

机译：在不完全偏好下N人非洲游戏中的广义纳什均衡存在
3. Existence of Generalized Nash Equilibrium in n-Person Noncooperative Games under Incomplete Preference [J] . Xingchang Li Journal of Function Spaces . 2018,第3期

机译：在不完全偏好下N人非洲游戏中的广义纳什均衡存在
4. N-Person Noncooperative Game with Infinite Strategic Space [C] . Hui Yu, Jian Chen, Caihong Sun International Conference on Algorithmic Applications in Management . 2005

机译：与无限战略空间的N-Person非自由度游戏
5. Dynamic learning in strategic games and duality in infinite dimensional optimization. [D] . Stern, Matthew. 2017

机译：战略游戏中的动态学习和无限维度优化中的对偶。
6. A Theory of N-Person Games with Perfect Information [O] . David Gale 1953

机译：具有完善信息的N人博弈论
7. On an N-person noncooperative Markov game with a metric state space [O] . Lai Hang-Chin, Tanaka Kensuke 1984

机译：关于具有度量状态空间的N人非合作Markov博弈
8. Finding a Nash Equilibrium in Noncooperative N-Person Games by Solving a Sequenceof Linear Stationary Point Problems [R] . van den Elzen, A., Talman, D. 1993

机译：通过求解线性平稳点问题求解非合作N人游戏中的纳什均衡

N-Person Noncooperative Game with Infinite Strategic Space

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