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An Introductory Course on Mathematical Game Theory and Applications
Julio González-DíazIgnacio García-JuradoM. Gloria Fiestras-Janeiro
其他書名
Second Edition
出版American Mathematical Society, 2023-12-05
主題Mathematics / General
ISBN14704756349781470475635
URLhttp://books.google.com.hk/books?id=-ELsEAAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.