An introductory course on mathematical game theory and applications
- 2nd ed.
- Providence : American Mathematical Society, 2023
- xiv, 415 p.; ill., 25 cm
- Graduate studies in mathematics, 1065-7339 ; v.238 .
Includes bibliographical references and index.
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
9781470475635
Game theory Bayesian game Correlated equilibrium Matrix game Nash equilibrium Shapley value Strategy profiles Subgame perfect equilibrium