

Game Theory II: Advanced Applications
- Offered byCoursera
- Public/Government Institute
Game Theory II: Advanced Applications at Coursera Overview
Duration | 17 hours |
Total fee | Free |
Mode of learning | Online |
Difficulty level | Advanced |
Official Website | Explore Free Course |
Credential | Certificate |
Game Theory II: Advanced Applications at Coursera Highlights
- Shareable Certificate Earn a Certificate upon completion
- 100% online Start instantly and learn at your own schedule.
- Flexible deadlines Reset deadlines in accordance to your schedule.
- Advanced Level
- Approx. 17 hours to complete
- English Subtitles: French, Portuguese (European), Russian, English, Spanish
Game Theory II: Advanced Applications at Coursera Course details
- 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
Game Theory II: Advanced Applications at Coursera Curriculum
Social Choice
An Introduction to the Course
1.1 Social Choice: Taste
1.2 Social Choice: Voting Scheme
1.3 Paradoxical Outcomes
1.4 Impossibility of Non-Paradoxical Social Welfare Functions
1.5 Arrow's Theorem
1.6 Impossibility of Non-Pardoxical Social Choice Functions
1.7 Single-Peaked Preferences
Syllabus
Problem Set 1
Unit 1.2 Quiz
Unit 1.3 Quiz
Unit 1.5 Quiz
Mechanism Design
2.1 Mechanism Design: Taste
2.2 Implementation
2.3 Mechanism Design: Examples
2.4 Revelation Principle
2.5 Revelation Principle: Examples
2.6 Impossibility of General Dominant-Strategy Implementation
2.7 Transferable Utility
2.8 Transferable Utility Example
2.9 Mechanism Design as an Optimization Problem
Reading on the theory of Mechanism Design
Problem Set 2
Unit 2.2 Quiz
Unit 2.4 Quiz
Unit 2.6 Quiz
Unit 2.8 Quiz
Unit 2.9 Quiz
Efficient Mechanisms
3.1 VCG: Taste
3.2 VCG: Definitions
3.3 VCG: Examples
3.4 VCG: Limitations
3.5 VCG: Individual Rationality and Budget Balance in VCG
3.6 VCG: The Myerson-Satterthwaite Theorem
Problem Set 3
Unit 3.2 Quiz
Unit 3.3 Quiz
Unit 3.6 Quiz
Auctions
4.1 Auctions: Taste
4.2 Auctions: Taxonomy
4.3 Bidding in Second-Price Auctions
4.4 Bidding in First-Price Auctions
4.5 Revenue Equivalence
4.6 Optimal Auctions
4.7 More Advanced Auctions
Problem Set 4
Unit 4.2 Quiz
Unit 4.3 Quiz
Unit 4.4 Quiz
Unit 4.6 Quiz
Final Exam
FINAL EXAM
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