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"Covering both noncooperative and cooperative games, this comprehensive introduction to game theory also includes some advanced chapters on auctions, games with incomplete information, games with vector payoffs, stable matchings, and the bargaining set. Mathematically oriented, the book presents every theorem alongside a proof. The material is presented clearly and every concept is illustrated with concrete examples from a broad range of disciplines. With numerous exercises the book is a thorough and extensive guide to game theory from undergraduate through graduate courses in economics, mathematics, computer science, engineering, and life sciences to being an authoritative reference for researchers"--

This is an extract from the 4-volume dictionary of economics, a reference book which aims to define the subject of economics today. 1300 subject entries in the complete work cover the broad themes of economic theory. It concentrates on the topic of game theory.

"What is a game? Classically, a game is perceived as something played by human beings. Its mathematical analysis is human-centered, explores the structures of particular games, economic or social environments and tries to model supposedly "rational" human behavior in search of appropriate "winning strategies". This point of view places game theory into a very special scientific corner where mathematics, economics and psychology overlap and mingle. This book takes a novel approach to the subject. Its focus is on mathematical models that apply to game theory in particular but exhibit a universal character and thus extend the scope of game theory considerably. This textbook addresses anyone interested in a general game-theoretic view of the world. The reader should have mathematical knowledge at the level of a first course in real analysis and linear algebra. However, possibly more specialized aspects are further elaborated and pointers to relevant supplementary literature are given. Moreover, many examples invite the reader to participate "actively" when going through the material. The scope of the book can be covered in one course on Mathematical Game Theory at advanced undergraduate or graduate level"--

Game theory is a branch of mathematics that studies strategic interactions, i.e., interactions which involve more than one agent and in which each agent makes her/his decision while striving to predict the decisions of other agents. Game theory has been successfully applied in many areas of both the natural and social sciences, and it is the belief of this book's author that it can also be gainfully invoked in the area of legal philosophy. In this book, Wojciech Zaluski analyzes legal-philosophical concepts - such as legal interpretation, justice, legal rights, contract law, tort law, and prop

This book primarily addresses various game theory phenomena in the context of management practice. As such, it helps readers identify the profound game theory principles behind these phenomena. At the same time, the game theory principles in the book can also provide a degree of guidance for solving practical problems. As one of the main areas in management research, there is already an extensive body of literature on game theory. However, it remains mainly theoretical, focusing on abstract arguments and purely numerical examples purely. This book addresses that gap, helping readers apply game theory in their actual management or research work.

Equilibrium points in n-person games ; The bargaining problem / John F. Nash, Jr. -- Non-cooperative games / John Nash -- An iterative method of solving a game / Julia Robinson -- Equivalence of games in extensive form / F.B. Thompson -- Extensive games and the problem of information / H.W. Kuhn -- A value for n-person games ; Stochastic games / L.S. Shapley -- Recursive games / H. Everett -- Von Neumann-Morgenstern solutions to cooperative games without side payments / R.J. Aumann and B. Peleg -- A limit theorem on the core of an economy / Gerard Debreu and Herbert Scarf -- The bargaining set for cooperative games / Robert J. Aumann and Michael Maschler -- Existence of competitive equilibria in markets with a continuum of traders / Robert J. Aumann -- The core of an n-person game / Herbert E. Scarf -- Games with incomplete information played by "Bayesian" players. pt. 1. The basic model ; pt. 2. Bayesian equilibrium points ; pt. 3. The basic probability distribution of the game / John C. Harsanyi -- The big match / David Blackwell and T.S. Ferguson -- On market games / Lloyd S. Shapley and Martin Shubik -- Reexamination of the perfectness concept for equilibrium points in extensive games / R. Selten.

1. Approaches to the Bargaining Problem Before and After the Theory of Games: A Critical Discussion of Zeuthen's, Hicks', and Nash's Theories -- 2. On the Rationality Postulates Underlying the Theory of Cooperative Games -- 3. A Simplified Bargaining Model for the n-Person Cooperative Game -- 4. Games with Randomly Disturbed Payoffs: A New Rationale for Mixed-Strategy Equilibrium Points -- 5. Oddness of the Number of Equilibrium Points: A New Proof -- 6. Games with Incomplete Information Played by "Bayesian" Players. Part I: The Basic Model -- 7. Games with Incomplete Information Played by "Bayesian" Players. Part II: Bayesian Equilibrium Points -- 8. Games with Incomplete Information Played by "Bayesian" Players. Part III: The Basic Probability Distribution of the Game -- 9. Uses of Bayesian Probability Models in Game Theory -- 10. An Equilibrium-Point Interpretation of Stable Sets and a Proposed Alternative Definition -- 11. A New General Solution Concept for Both Cooperative and Noncooperative Games -- 12. Rule Utilitarianism, Rights, Obligations and the Theory of Rational Behavior.