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所在平台: Coursera |
课程主页: https://www.coursera.org/learn/game-theory-2
课程评论:没有评论
课程名称:博弈论 II:高级应用 课程概述:博弈论被电影《美丽心灵》等广泛传播,它是对理性(以及非理性)主体之间战略互动的数学建模。在为期四周的讲座中,本高级课程着重于如何设计主体之间的互动,以实现良好的社会结果。主要涵盖三个主题:社会选择理论(即集体决策和投票系统)、机制设计和拍卖。 第一周,我们探讨不同主体偏好的聚合问题,讨论投票规则及集体决策中面临的挑战。我们介绍了一些该领域最重要的理论成果,尤其是阿罗定理,该定理证明并不存在“完美”的投票系统,以及吉巴德-萨特威特定理和穆勒-萨特威特定理。 接下来,我们研究当主体出于自利动机可能 estratégicamente falsear 自己偏好时的集体决策问题。我们讲解“机制设计”——一个广泛的框架,用于在自利代理之间设计互动,并给出了一些关键的理论结果。 第三周,课程的重点是设计机制以最大化主体的总体幸福感,并介绍了维克雷-克拉克-格罗夫斯机制这一强大体系。 最后一周,我们讨论在自利主体之间分配稀缺资源的问题,并对拍卖理论进行了介绍。 您可以在这里找到完整的大纲和课程描述:http://web.stanford.edu/~jacksonm/GTOC-II-Syllabus.html 对于想要学习或回顾博弈论基本概念的学员,可以参考此前课程:https://www.coursera.org/learn/game-theory-1 课程介绍视频可以在此查看:http://web.stanford.edu/~jacksonm/Game-Theory-2-Intro.mp4
Name:Social Choice
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Name:Mechanism Design
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Name:Efficient Mechanisms
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Name:Auctions
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Name:Final Exam
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Popularized by movies such as "A Beautiful Mind", game theory is the mathematical modeling of strategic interaction among rational (and irrational) agents. Over four weeks of lectures, this advanced course considers how to design interactions between agents in order to achieve good social outcomes. Three main topics are covered: social choice theory (i.e., collective decision making and voting systems), mechanism design, and auctions. In the first week we consider the problem of aggregating different agents' preferences, discussing voting rules and the challenges faced in collective decision making. We present some of the most important theoretical results in the area: notably, Arrow's Theorem, which proves that there is no "perfect" voting system, and also the Gibbard-Satterthwaite and Muller-Satterthwaite Theorems. We move on to consider the problem of making collective decisions when agents are self interested and can strategically misreport their preferences. We explain "mechanism design" -- a broad framework for designing interactions between self-interested agents -- and give some key theoretical results. Our third week focuses on the problem of designing mechanisms to maximize aggregate happiness across agents, and presents the powerful family of Vickrey-Clarke-Groves mechanisms. The course wraps up with a fourth week that considers the problem of allocating scarce resources among self-interested agents, and that provides an introduction to auction theory. You can find a full syllabus and description of the course here: http://web.stanford.edu/~jacksonm/GTOC-II-Syllabus.html There is also a predecessor course to this one, for those who want to learn or remind themselves of the basic concepts of game theory: https://www.coursera.org/learn/game-theory-1 An intro video can be found here: http://web.stanford.edu/~jacksonm/Game-Theory-2-Intro.mp4