A New Approach to Noncooperative Games Under Uncertainty

Vladislav Iosifovich Zhukovskiy; Tatiana Vladimirovna Makarkina; Maria Ivanovna Vysokos

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A New Approach to Noncooperative Games Under Uncertainty

机译：不确定性下非合作博弈的新方法

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摘要

The novelty of the approach presented in this paper is that each player of a conflict seeks not only to increase his payoff, but also to reduce his risk, taking into account a possible realization of any uncertainty from a given admissible set. A new concept, the so-called strongly guaranteed Nash equilibrium in payoffs and risks, is introduced and its existence in mixed strategies is proved under standard constraints for noncooperative games, i.e., compact sets of players' strategies and continuous payoff functions.

机译：本文介绍的方法的新颖之处在于，每个冲突参与者都不仅要增加收益，而且要降低风险，同时要考虑到可能从给定可容许集合中实现任何不确定性。引入了一个新概念，即所谓的在收益和风险上的有保证的纳什均衡，并在非合作游戏的标准约束下证明了它在混合策略中的存在，即，紧凑的玩家策略和连续的收益功能。

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来源
《International game theory review》 |2018年第1期|1750024.1-1750024.19|共19页
作者
Vladislav Iosifovich Zhukovskiy; Tatiana Vladimirovna Makarkina; Maria Ivanovna Vysokos;
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作者单位

Faculty of Computational Mathematics and Cybernetics M. V. Lomonosov Moscow State University, Leninskie Gory Moscow 119991, Russia;

Faculty of Informatics, State Humanitarian-Technological University 22, Zelenaya street, Orekhovo-Zuevo, Moscow 142600, Russia;

Faculty of Informatics, State Humanitarian-Technological University 22, Zelenaya street, Orekhovo-Zuevo, Moscow 142600, Russia;

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正文语种 eng
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关键词
Nash equilibrium; Pareto minimality; guaranteed decisions;

机译：纳什均衡;帕累托极简有保证的决定;

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1. Noncooperative and Cooperative Optimization of Electric Vehicle Charging Under Demand Uncertainty: A Robust Stackelberg Game [J] . H. Yang, X. Xie, A. V. Vasilakos IEEE Transactions on Vehicular Technology . 2016,第3期

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2. Human-Like Decision Making for Autonomous Driving: A Noncooperative Game Theoretic Approach [J] . Hang Peng, Lv Chen, Xing Yang, IEEE Transactions on Intelligent Transportation Systems . 2021,第4期

机译：自主驾驶的人类决策：非支持游戏理论方法
3. A Noncooperative Game Approach to Autonomous Racing [J] . Liniger Alexander, Lygeros John IEEE Transactions on Control Systems Technology . 2020,第3期

机译：自主赛车的非洲游戏方法
4. Robust noncooperative rate-maximization game for MIMO Gaussian interference channels under bounded channel uncertainty [C] . Anandkumar Amod J.G., Anandkumar Animashree, Lambotharan Sangarapillai, IEEE International Conference on Acoustics, Speech and Signal Processing . 2013

机译：有界信道不确定性下的MIMO高斯干扰信道鲁棒非合作速率最大化博弈
5. Nash Equilibrium Seeking in Noncooperative Games and Multi-Agent Deployment to Planar Curves [D] . Frihauf, Paul A. 2012

机译：非合作博弈中的纳什均衡寻求和多智能体向平面曲线的部署
6. A Distributed Energy-Balanced Topology Control Algorithm Based on a Noncooperative Game for Wireless Sensor Networks [O] . Yongwen Du, Junhui Gong, Zhangmin Wang, 2018

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7. Sensitivity Analysis of Uncertainties in Dynamic Noncooperative Games Using a Multi-Modeling Method [O] . Xiaohuan Tan, Jose B. Cruz, Life Fellow 2009

机译：动态非合作博弈不确定性的多模型分析
8. A Nonstandard Theory of Games. Part III. Noncooperative *Finite Games. [R] . Lewis, A. A. 1979

机译：一种非标准的游戏理论。第三部分。非合作*有限游戏。

A New Approach to Noncooperative Games Under Uncertainty

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