Lehrinhalte
Cooperative game theory: coalitions, solution concepts, stable sets, core, Shapley value, convex games.
Non-cooperative game theory: Sequential and strategic games, two-person and n-person games, zero-sum and non-zero-sum games, discrete and continuous games. Various concepts of solution of a game (e.g. Nash equilibrium). Fixed point theorems (e.g. Brouwer). Existence results (e.g. minimax theorem) and impossibility theorems. Algorithmic aspects. Applications.
Literatur
Osborne: An Introduction to Game Theory
Forg, Szép und Szidarovszky: Introduction to the Theory of Games
Krabs: Spieltheorie: Dynamische Behandlung von Spielen
Berninghaus, Ehrhart und Güth: Strategische Spiele
Voraussetzungen
recommended: Analysis, Linear Algebra
Cooperative game theory: coalitions, solution concepts, stable sets, core, Shapley value, convex games.
Non-cooperative game theory: Sequential and strategic games, two-person and n-person games, zero-sum and non-zero-sum games, discrete and continuous games. Various concepts of solution of a game (e.g. Nash equilibrium). Fixed point theorems (e.g. Brouwer). Existence results (e.g. minimax theorem) and impossibility theorems. Algorithmic aspects. Applications.
Literatur
Osborne: An Introduction to Game Theory
Forg, Szép und Szidarovszky: Introduction to the Theory of Games
Krabs: Spieltheorie: Dynamische Behandlung von Spielen
Berninghaus, Ehrhart und Güth: Strategische Spiele
Voraussetzungen
recommended: Analysis, Linear Algebra
- Lehrende: Alexandra Schwartz
Semester: ST 2020