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Game Theory
by Daniel Booth
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Game Theory

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Simple Concepts To Know

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What the fuck is meant by equilibria

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What do we mean by beliefs

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Mutual Knowledge

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Common Knowledge

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Elements of a game

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Players

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Nature

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Game Structure

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Solution Concepts (Just A LIST ATM)

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Rational Strategies

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Iteratively not dominated Strategies

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Correlated Strategies

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Rationalizable Equilibiria

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General Method of Game Setup and Solution

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1)Collate Information

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2) Identify WHAT THE PROBLEM IS. What will the solution look like?

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3) Work through the problem WARNING ALGEBRA!

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4) Solution

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Strategic Form Games

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Extensive Form Games

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Good Books on Game Theory

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Rubinstein

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Fudenberg & Tirole

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Gibbons

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Nash Refinements

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Extensive Form Games

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Strategic Form Games

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Don't think about this equilibrium as something "optimal" per se. Think of it as an occurance of strategies in a game where none of the players have a desire to change their strategy given other players strategies. Note well this can be a stupidly large solution concept and needs some refinements.

Common knowledge is when every one in the games know a peice of knowledge and they know that others know...and they know that the other know etc etc. It sounds crazy but thats what it is.

The matrix style ones. All players move at the same time.

Players move after each other.