Game Theory: Stochastics, 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 stochastic games using the language of probability in
order to consider simple models in which measure theory can be omitted.