(Paperback)

Explains the foundations of Bayesian decision theory and shows why Savage restricted the theory's application to small worlds. This title discusses the various philosophical attitudes related to the nature of probability and offers resolutions to paradoxes believed to hinder further progress.

(Paperback)

(Paperback)

The description for this book, Advances in Game Theory. (AM-52), will be forthcoming.

(Paperback)

(Hardback)

"Drawing upon methods from platform studies, software studies, media studies, and literary studies, Adventure Games reveals the genre's ludic (playful) and narrative origins and patterns, where character (and the player's embodiment of a character) is essential to the experience of play and the choices within a game"--

(Hardback)

Uses psychological principles and hundreds of experiments to develop mathematical theories of reciprocity, limited strategizing, and learning. This book discusses standard game theory and combines experimental evidence and psychology in a mathematical theory of normal strategic behavior. It is intended for students of economics and psychology.

(Paperback)

The theory of games, first given a rigorous formulation by von Neumann in 1928, is a subfield of mathematics and economics that models situations in which individuals compete and cooperate with each other. This book assembles the fundamental contributions in this field. It is useful for researchers in game theory and for students.

(Paperback)

These two new collections, numbers 28 and 29 respectively in the Annals of Mathematics Studies, continue the high standard set by the earlier Annals Studies 20 and 24 by bringing together important contributions to the theories of games and of nonlinear differential equations.

(Paperback)

The description for this book, Contributions to the Theory of Games (AM-40), Volume IV, will be forthcoming.

(Paperback)

(Paperback)

Offers an introduction to the mathematical discipline known as the Theory of Games. This book opens by addressing 'matrix games'. It continues with a treatment of games in extensive form and also deals with games that have an infinite number of pure strategies for the two players. It features examples and exercises, and various historical notes.

(Hardback)

Presents the theory and the methods of nonlinear optimization, with proofs illustrated by examples and figures. This book covers convex analysis, the theory of optimality conditions, duality theory, and numerical methods for solving unconstrained and constrained optimization problems. It is aimed at graduate students and researchers.

(Paperback)

In the world of math, the theorem that informs how to understand the shape of the universe has defied every effort to prove it. Now, after more than a century, an eccentric Russian recluse has found the solution to one of the seven greatest math problems of the modern era.

(Paperback)

Using Game Theory (a theory based on the rationale that everyone acts in their own self-interest) he can foretell and even engineer events.

(Hardback)

Simple games are mathematical structures inspired by voting systems in which a single alternative, such as a bill, is pitted against the status quo. This mathematical study of the subject as a subfield in finite combinatorics blends new theorems with some of the results from threshold logic.

(Paperback)

When John Nash won the Nobel prize in economics in 1994, many people were surprised to learn that he was alive. This book presents Nash's contributions not only to game theory, for which he received the Nobel, but to mathematics - from Riemannian geometry and partial differential equations - in which he commands greater acclaim among academics.

(Paperback)

This book describes the latest advances in the theory of mean field games, which are optimal control problems with a continuum of players, each of them interacting with the whole statistical distribution of a population.

(Hardback)

This three-part typology of unpredictability in games provides the first critical framework for understanding non-deterministic forms of gameplay.

(Paperback)

(Paperback)

(Hardback)

(Paperback)

The "Shapley value" of a finite multi- person game associates to each player the amount he should be willing to pay to participate. This book extends the value concept to certain classes of non-atomic games, which are infinite-person games in which no individual player has significance. It is primarily a book of mathematics--a study of non-additive

(Hardback)

(Hardback)

Suitable for advanced undergraduate and beginning graduate students, this title introduces readers to the principal ideas and applications of game theory. It covers static and dynamic games, with complete and incomplete information and features a variety of examples, applications, and exercises.