Game Theory II: Advanced Applications

Coursera Game Theory II: Advanced Applications

Platform
Coursera
Provider
Stanford University, The University of British Columbia
Effort
5-7 hours/week
Length
5 weeks
Language
English
Credentials
Paid Certificate Available
Course Link
Overview
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: Game Theory | Coursera

Syllabus
Social Choice
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Mechanism Design
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Efficient Mechanisms
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Auctions
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Final Exam
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Taught by
Matthew Jackson, Kevin Leyton-Brown and Yoav Shoham
Author
Coursera
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