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7-1 Coalitional Game Theory: Taste

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7-1 Coalitional Game Theory: Taste

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

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

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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