Game theory analyzes interaction - of internet users, competing firms, or cancer cells. This text explains the mathematical basics of game theory from the ground up, and introduces all-important results on non-cooperative games. With detailed explanations, examples, exercises, and pictures, it is designed for self-study or course accompaniment.
Game theory analyzes interaction - of internet users, competing firms, or cancer cells. This text explains the mathematical basics of game theory from the ground up, and introduces all-important results on non-cooperative games. With detailed explanations, examples, exercises, and pictures, it is designed for self-study or course accompaniment.
Bernhard von Stengel, educated in the US and Germany, is a mathematical game theorist at London School of Economics and Political Science, and an authority on computational and geometric methods for solving games. He chaired the 2016 World Congress of the Game Theory Society, and is a senior editor for leading journals on mathematical game theory.
Inhaltsangabe
1. Nim and Combinatorial Games 2. Congestion Games 3. Games in Strategic Form 4. Game Trees with Perfect Information 5. Expected Utility 6. Mixed Equilibrium 7. Brouwer's Fixed-Point Theorem 8. Zero-Sum Games 9. Geometry of Equilibria in Bimatrix Games 10. Game Trees with Imperfect Information 11. Bargaining 12. Correlated Equilibrium.
1. Nim and Combinatorial Games 2. Congestion Games 3. Games in Strategic Form 4. Game Trees with Perfect Information 5. Expected Utility 6. Mixed Equilibrium 7. Brouwer's Fixed-Point Theorem 8. Zero-Sum Games 9. Geometry of Equilibria in Bimatrix Games 10. Game Trees with Imperfect Information 11. Bargaining 12. Correlated Equilibrium.
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