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Mathematical foundations of game theory

Laraki, Rida.

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Mathematical foundations of game theory

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Mathematical foundations of game theory/ by Rida Laraki, Jerome Renault, Sylvain Sorin.
作者:	Laraki, Rida.
其他作者:	Renault, Jerome.
出版者:	Cham :Springer International Publishing : : 2019.,
面頁冊數:	xvii, 229 p. :ill., digital ;24 cm.
內容註:	1 Introduction -- 2 Zero-Sum Games: the Finite Case -- 3 Zero-Sum Games: the General Case -- 4 N-Player games: Rationality and Equilibria -- 5 Equilibrium Manifolds and Dynamics -- 6 Games in Extensive Form -- 7 Correlated Equilibria, Learning, Bayesian Equilibria -- 8 Introduction to Repeated Games -- 9 Solutions to the Exercises -- References.
Contained By:	Springer eBooks
標題:	Game theory. -
電子資源:	https://doi.org/10.1007/978-3-030-26646-2
ISBN:	9783030266462

Mathematical foundations of game theory
Laraki, Rida.

Mathematical foundations of game theory[electronic resource] /by Rida Laraki, Jerome Renault, Sylvain Sorin. - Cham :Springer International Publishing :2019. - xvii, 229 p. :ill., digital ;24 cm. - Universitext,0172-5939. - Universitext..

1 Introduction -- 2 Zero-Sum Games: the Finite Case -- 3 Zero-Sum Games: the General Case -- 4 N-Player games: Rationality and Equilibria -- 5 Equilibrium Manifolds and Dynamics -- 6 Games in Extensive Form -- 7 Correlated Equilibria, Learning, Bayesian Equilibria -- 8 Introduction to Repeated Games -- 9 Solutions to the Exercises -- References.

This book gives a concise presentation of the mathematical foundations of Game Theory, with an emphasis on strategic analysis linked to information and dynamics. It is largely self-contained, with all of the key tools and concepts defined in the text. Combining the basics of Game Theory, such as value existence theorems in zero-sum games and equilibrium existence theorems for non-zero-sum games, with a selection of important and more recent topics such as the equilibrium manifold and learning dynamics, the book quickly takes the reader close to the state of the art. Applications to economics, biology, and learning are included, and the exercises, which often contain noteworthy results, provide an important complement to the text. Based on lectures given in Paris over several years, this textbook will be useful for rigorous, up-to-date courses on the subject. Apart from an interest in strategic thinking and a taste for mathematical formalism, the only prerequisite for reading the book is a solid knowledge of mathematics at the undergraduate level, including basic analysis, linear algebra, and probability.

ISBN: 9783030266462

Standard No.: 10.1007/978-3-030-26646-2doiSubjects--Topical Terms:

532607
Game theory.

LC Class. No.: QA269 / .L373 2019

Dewey Class. No.: 519.3

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505 0 $a 1 Introduction -- 2 Zero-Sum Games: the Finite Case -- 3 Zero-Sum Games: the General Case -- 4 N-Player games: Rationality and Equilibria -- 5 Equilibrium Manifolds and Dynamics -- 6 Games in Extensive Form -- 7 Correlated Equilibria, Learning, Bayesian Equilibria -- 8 Introduction to Repeated Games -- 9 Solutions to the Exercises -- References.
520 $a This book gives a concise presentation of the mathematical foundations of Game Theory, with an emphasis on strategic analysis linked to information and dynamics. It is largely self-contained, with all of the key tools and concepts defined in the text. Combining the basics of Game Theory, such as value existence theorems in zero-sum games and equilibrium existence theorems for non-zero-sum games, with a selection of important and more recent topics such as the equilibrium manifold and learning dynamics, the book quickly takes the reader close to the state of the art. Applications to economics, biology, and learning are included, and the exercises, which often contain noteworthy results, provide an important complement to the text. Based on lectures given in Paris over several years, this textbook will be useful for rigorous, up-to-date courses on the subject. Apart from an interest in strategic thinking and a taste for mathematical formalism, the only prerequisite for reading the book is a solid knowledge of mathematics at the undergraduate level, including basic analysis, linear algebra, and probability.
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