Game Theory II: Advanced Applications

开始时间: 04/22/2022 持续时间: Unknown

所在平台: CourseraArchive

课程类别: 数学

大学或机构: CourseraNew



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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: 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: An intro video can be found here:

博弈论II:高级应用程序:博弈论是理性(和非理性)主体之间战略互动的数学模型,在诸如“美丽心灵”之类的电影中流行。在为期四周的讲座中,该高级课程考虑了如何设计代理商之间的互动以实现良好的社交效果。涵盖了三个主要主题:社会选择理论(即集体决策和投票系统),机制设计和拍卖。 在第一周,我们考虑了汇总不同代理人的偏好,讨论投票规则以及集体决策中面临的挑战的问题。我们提出了该领域中一些最重要的理论结果:尤其是阿罗定理,它证明了没有“完美”的投票系统,还有吉伯德-萨特思韦特和穆勒-萨特思韦特定理。我们继续考虑当代理商自身感兴趣并可能从战略上错误报告他们的偏好时做出集体决策的问题。我们将解释“机制设计”(一种设计自利代理之间相互作用的广泛框架),并给出一些关键的理论结果。我们的第三周着眼于设计机制以最大程度地提高代理之间的总体幸福感,并介绍了Vickrey-Clarke-Groves机制的强大家族。本课程以第四周结束,该周考虑了在自利经纪人之间分配稀缺资源的问题,并为拍卖理论提供了介绍。 您可以在这里找到完整的课程提纲和课程说明: 对于那些想要学习或提醒自己博弈论基本概念的人来说,这也是一门预备课程: 可以在这里找到介绍视频:



This course is based on advanced undergraduate and masters level material and is aimed at researchers, students, and practitioners who wish to learn more about game theory and mechanism design. This course is a follow up to our first Game Theory course, and it presumes that the students are comfortable with the material from that course. You must be also comfortable with mathematical thinking and rigorous arguments. Relatively little specific math is required; however the course involves some probability theory (for example, you should know what a conditional probability is) and some calculus.


数学思维 纳什 数学模型 博弈 纳什均衡 博弈论 数学 拍卖 拍卖机制