Lectures on the Theory of Game

Harold W. Kuhn

108 pages, parution le 24/03/2003

Ajouter à une liste

Indisponible

Résumé

This book is a spectacular introduction to the modern mathematical discipline known as the Theory of Games. Harold Kuhn first presented these lectures at Princeton University in 1952. They succinctly convey the essence of the theory, in part through the prism of the most exciting developments at its frontiers half a century ago. Kuhn devotes considerable space to topics that, while not strictly the subject matter of game theory, are firmly bound to it. These are taken mainly from the geometry of convex sets and the theory of probability distributions.
The book opens by addressing "matrix games," a name first introduced in these lectures as an abbreviation for two-person, zero-sum games in normal form with a finite number of pure strategies. It continues with a treatment of games in extensive form, using a model introduced by the author in 1950 that quickly supplanted von Neumann and Morgenstern's cumbersome approach. A final section deals with games that have an infinite number of pure strategies for the two players.
Throughout, the theory is generously illustrated with examples, and exercises test the reader's understanding. A historical note caps off each chapter. For readers familiar with the calculus and with elementary matrix theory or vector analysis, this book offers an indispensable store of vital insights on a subject whose importance has only grown with the years.

Contents

Author's Note
What is the Theory of Games?
Matrix Games
Extensive Games
Infinite Games

L'auteur - Harold W. Kuhn

Harold W. Kuhn is Professor Emeritus of Mathematics at Princeton University. Joint winner of the 1980 von Neumann Prize in Theory, he is internationally known for co-authoring a paper that initiated the theory of "nonlinear programming." Kuhn is the editor or coeditor of several books (all Princeton), including The Essential John Nash, Classics in Game Theory, Linear Inequalities and Related Systems, and Contributions to the Theory of Games, I and II.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Princeton University Press
Auteur(s)	Harold W. Kuhn
Parution	24/03/2003
Nb. de pages	108
Format	15,5 x 23,5
Couverture	Broché
Poids	200g
Intérieur	Noir et Blanc
EAN13	9780691027722
ISBN13	978-0-691-02772-2