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7-1 Coalitional Game Theory: Taste

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게임 이론

스탠퍼드 대학교

4.6(2,366개의 평가) | 210K명의 학생이 등록함

Popularized by movies such as "A Beautiful Mind," game theory is the mathematical modeling of strategic interaction among rational (and irrational) agents. Beyond what we call `games' in common language, such as chess, poker, soccer, etc., it includes the modeling of conflict among nations, political campaigns, competition among firms, and trading behavior in markets such as the NYSE. How could you begin to model keyword auctions, and peer to peer file-sharing networks, without accounting for the incentives of the people using them? The course will provide the basics: representing games and strategies, the extensive form (which computer scientists call game trees), Bayesian games (modeling things like auctions), repeated and stochastic games, and more. We'll include a variety of examples including classic games and a few applications. You can find a full syllabus and description of the course here: http://web.stanford.edu/~jacksonm/GTOC-Syllabus.html There is also an advanced follow-up course to this one, for people already familiar with game theory: https://www.coursera.org/learn/gametheory2/ You can find an introductory video here: http://web.stanford.edu/~jacksonm/Intro_Networks.mp4

강의 계획서 보기

배우게 될 기술

Game Theory, Backward Induction, Bayesian Game, Problem Solving

검토

4.6(2,366개의 평가)

5 stars
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DA

Apr 14, 2019

It was such a helpful course that gave me the opportunity to learn few basic methods and terms about game theory through lots of interesting and to the point examples by three unique professors

LY

Dec 30, 2017

Easily the most challenging introductory course I've taken, but definitely worth it. I must say though that I learnt more from failing the quizzes than the lectures or practice questions.

수업에서

Week 7: Coalitional Games

Transferable utility cooperative games, Shapley value, Core, applications.

7-1 Coalitional Game Theory: Taste 4:05

7-2 Coalitional Game Theory: Definitions 6:14

7-3 The Shapley Value 16:16

7-4 The Core 14:42

7-5 Comparing the Core and Shapley value in an Example 10:45

강사:

Matthew O. Jackson
Professor
Kevin Leyton-Brown
Professor
Yoav Shoham
Professor

스크립트

Coalitional game theory is an approach to modeling strategic situations that stands in contrast to what's usually called, non-cooperative game theory. And in fact coalitional game theory is often called cooperative game theory. The and I'll get back to that in a moment but let's first speak about what situations does coalition game theory try to model. You may recognize these two fine looking gentlemen the person on the left is David Cameron, Prime Minister of, of, of Britain, and to his to his right, as we look at it, his left as they sit is Nicholas Clegg, his close partner. Now here are two political rivals who none the less come together and presumably there's a reason. There's something where they can accomplish together that they cannot accomplish alone. In particular in this case command a majority in the in the parliament and so that's a classical example where a coalition forms, in fact, we usually when we think about coalition, we think about political parties but coalitions form not only in politics. They certainly form in business so the Wind Coalition is a, a coming together of a number of firms in the United States to promote the joint agenda of wind energy turbines and such. Again, these are companies who are competitors and nonetheless, they feel that, together, there are things that can do that they can't do alone. For example, lobby government, establish standards, and things of that nature. Now, coalitions aren't always among organizations or parties or firms or heavy weight things. We, as individuals, routinely come together to accomplish things together. Whether it's to enter in marriage or for example build a house. when you have a carpenter and an efficient and a, and a, and a painter, that's come together they together can accomplish something that can't on their own. Now the mere fact that people come together doesn't mean that their interests are aligned or that they bring the same amount of value to the coalition they formed. It could be for example that the A Framer of a construction crew is irreplaceable, but the Electricians are easy to find and one could easily replace, and persumably when they get paid for the house they build that should be reflected in how they divide the, payment. And so there's a competition of both Cooperation and competition here and, and so for that reason calling these cooperative games as the common term is, is a little misleading. Just as much as non-cooperative game theories misleading as will. because for example, if you look at the uniform game. The colonical representation of a non-cooperative game. one can easily describe a completely harmonious situation of so called team games or common payoff games where the interests of the agents are completely aligned. So both non cooperative game theory and coalitional or cooperative game theory modeled both competition and coordination. The essential difference is the basic modeling unit. In coalition game theory, the basic modeling unit is the group, the team and what they kind of can accomplish and the analysis is based on this basic modeling.

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