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Instructors: Prof. Dr. rer. nat. Alexandra Schwartz; M.Sc. Anna Walter
Event type:
Lecture & Exercise
Org-unit: Dept. 04 - Mathematics
Displayed in timetable as:
Game Theory
Subject:
Crediting for:
Hours per week:
3
Language of instruction:
German
Min. | Max. participants:
- | -
Course Contents:
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.
Literature:
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
Preconditions:
recommended: Analysis, Linear Algebra
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