Game Theory and Applications

This book brings together papers of well-known specialists in game theory and adjacent problems. It presents the basic results in dynamic games, stochastic games, applications of game theoretical methods in ecology and economics and methodological aspects of game theory. Special attention was given to problems in dynamic games under partial information and to the development of numerical methods for high-dimensional games (there is an increasing focus on this arena as recent theory is leading to solution methods for problems which were heretofore quite intractable). The interdisciplinary aspects touched upon were related to dynamical systems via replicator dynamics, with probability (measure-valued processes), statistical mechanics (kinetic equation, non-equilibrium behaviour) and max-plus (tropical or idempotent) mathematics. In this volume, we publish the review of Martin Shubik (The Present and Future of Game Theory) and the contributions presenting extending versions of the talks given at the workshop'Game Theory for Finance, Social and Biological Sciences', held in Warwick 14-17 of April 2010. The conference was exclusively marked by a rare natural event: the eruption of an Icelandic volcano Eyjafjallajökull, which blocked the functioning of most of the airlines, turning the return trip into an adventurous enterprise for many participants.