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自然动力学对均衡的收敛性

Convergence of Natural Dynamics to Eqilibria
课程网址: http://videolectures.net/icml09_even_dar_mirrokni_condte/  
主讲教师: Vahab S. Mirrokni, Eyal Even Dar
开课单位: 宾夕法尼亚大学
开课时间: 2009-08-26
课程语种: 英语
中文简介:
最近,很多人都致力于分析各种游戏中的响应动态。关于动力学本身及其收敛性的问题引起了极大的关注。例如,这包括诸如“未协调的代理人需要多长时间才能达到平衡?”和“未协调的代理人是否能够迅速达到社会成本低的状态?”之类的问题。研究这种动态的一个重要方面是自我感兴趣的代理人在这些模型中使用的学习模型。研究学习算法对球员收敛速度的影响对于培养对相应游戏的理解至关重要。在本教程中,我们首先描述了博弈论所需术语的概述。然后,wesurvey得出关于近视和学习的最佳反应的球员对平衡和近似最优解的收敛,并研究各种学习算法在收敛(率)中的效果。在整个教程中,我们描述了局部搜索算法和学习算法之间的基本联系,以及多智能体游戏中最佳响应动态的融合。
课程简介: Recently, a lot of effort has been devoted to analyzing response dynamics in various games. Questions about the dynamics themselves and their convergence properties attracted a great deal of attention. This includes, for example, questions like “How long do uncoordinated agents need to reach an equilibrium?” and “Do uncoordinated agents quickly reach a state with low social cost?”. An important aspect in studying such dynamics is the learning model employed by self-interested agents in these models. Studying the effect of learning algorithms on the convergence rate of players is crucial for developing a solid understanding of the corresponding games. In this tutorial, we first describe an overview of the required terminology from game theory. Then, we survey results about the convergence of myopic and learning-based best responses of players to equilibria and approximately optimal solutions, and study the effect of various learning algorithms in convergence (rate). Throughout the tutorial, we describe fundamental connections between local search algorithms and learning algorithms with the convergence of best-response dynamics in multi-agent games.
关 键 词: 响应动态; 动力学; 博弈论
课程来源: 视频讲座网
最后编审: 2019-04-23:lxf
阅读次数: 26