An Introductory Course on Mathematical Game Theory and Applications
Seiten
2024
|
2nd Revised edition
American Mathematical Society (Verlag)
978-1-4704-6796-8 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-6796-8 (ISBN)
An introductory and up-to-date course on game theory for mathematicians, economists and other scientists with a basic mathematical background. This self-contained book provides a formal description of classic game-theoretic concepts alongside rigorous proofs and illustrates the theory through abundant examples, applications, and exercises.
Game theory provides a mathematical setting for analyzing competition and cooperation in interactive situations. The theory has been famously applied in economics, but is relevant in many other sciences, such as psychology, computer science, artificial intelligence, biology, and political science. This book presents an introductory and up-to-date course on game theory addressed to mathematicians and economists, and to other scientists having a basic mathematical background. The book is self-contained, providing a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field. The theory is illustrated through abundant examples, applications, and exercises.
The style is distinctively concise, while offering motivations and interpretations of the theory to make the book accessible to a wide readership. The basic concepts and results of game theory are given a formal treatment, and the mathematical tools necessary to develop them are carefully presented.
In this second edition, the content on cooperative games is considerably strengthened, with a new chapter on applications of cooperative games and operations research, including some material on computational aspects and applications outside academia.
This book is published in cooperation with Real Sociedad Matematica Espanola.
Game theory provides a mathematical setting for analyzing competition and cooperation in interactive situations. The theory has been famously applied in economics, but is relevant in many other sciences, such as psychology, computer science, artificial intelligence, biology, and political science. This book presents an introductory and up-to-date course on game theory addressed to mathematicians and economists, and to other scientists having a basic mathematical background. The book is self-contained, providing a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field. The theory is illustrated through abundant examples, applications, and exercises.
The style is distinctively concise, while offering motivations and interpretations of the theory to make the book accessible to a wide readership. The basic concepts and results of game theory are given a formal treatment, and the mathematical tools necessary to develop them are carefully presented.
In this second edition, the content on cooperative games is considerably strengthened, with a new chapter on applications of cooperative games and operations research, including some material on computational aspects and applications outside academia.
This book is published in cooperation with Real Sociedad Matematica Espanola.
Julio Gonzalez-Diaz, Universidade de Santiago de Compostela, Spain. Ignacio Garcia-Jurado, Universidade da Coruna, A Coruna, Spain. M. Gloria Fiestras-Janeiro, Universidade de Vigo, Spain.
Introduction to decision theory
Strategic games
Extensive games
Games with incomplete information
Fundamentals of cooperative games
Applications of cooperative games
Bibliography
Notations
Index
Index of solution concepts
Subject Index
| Erscheinungsdatum | 03.01.2024 |
|---|---|
| Reihe/Serie | Graduate Studies in Mathematics ; 238 |
| Verlagsort | Providence |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Gewicht | 432 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Mathematik / Informatik ► Mathematik ► Graphentheorie | |
| ISBN-10 | 1-4704-6796-8 / 1470467968 |
| ISBN-13 | 978-1-4704-6796-8 / 9781470467968 |
| Zustand | Neuware |
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