Game Theory: Stochastics, Information, Strategies and Cooperation / Edition 1

by Joachim Rosenmïller

Overview

Game Theory: Shastics, Information, Strategies and Cooperation provides a discussion of some relevant topics in game theory. It is composed partially from material compiled by Professor Joachim Rosenmüller when lecturing at IMW, the Institute of Mathematical Economics at the University of Bielefeld. On the other hand, it also contains research topics that are not presented in a typical game theory textbook. Thus, the volume may provide the basis for an advanced course in game theory; simultaneously it may be called a monograph, and, as a third aspect, it also supplies some rather elementary versions of advanced topics of the field.
The volume has a non-cooperative and a cooperative part and in both of them the reader is assumed to have some basic knowledge in game theory, for instance, concerning the normal form (bimatrix games, Nash equilibria of the mixed extension, backwards induction in games with perfect information) on one hand and the coalitional function (simple games, convex games, superadditive games, the core, the Shapley volume) on the other hand.
Some emphasis is laid on the probabilistic background; however, the author treats shastic games using the language of probability in order to consider simple models in which measure theory can be omitted.

Product Details

ISBN-13:	9780792386735
Publisher:	Springer US
Publication date:	12/31/1999
Series:	Theory and Decision Library C , #25
Edition description:	2000
Pages:	662
Product dimensions:	6.14(w) x 9.21(h) x 0.06(d)

Table of Contents

1 Prerequisites.- 2 Shastic Games and Incomplete Information.- 3 Shastic Games: Infinite Horizon.- 4 Folk Theorems.- 5 Large Totally Balanced Games.- 6 Replica Market Games.- 7 Countably Many Players: The Shapley Value.- 8 Bargaining.