This volume 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 theorectical methods in ecology and economics and the methodological aspects of game theory.

The idea of this book is to demonstrate the tendency of modern research in mathematical ecology using the optimal control theory and game-theoretic methods. The book introduces the modelling of environmental systems through conceptual game-theoretic models, showing the importance of the equilibrium behavior under resource extraction. Using discrete and continuous models of biological and physical processes, the behavior of ecological-economic systems is represented by models with analytic or numerical solutions. A range of mathematical methods including analytic and approximate methods for equilibrium definition, cooperative and collective behavior determination are used to explore such models. The main feature of the presented investigations is characterised by time consistent, stabilised, collective and cooperative concepts in ecological-economic systems. This book is recommended for researchers and post-graduate students of management, economic and in the applied mathematics departments.

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), with statistical mechanics (kinetic equation, non-equilibrium behaviour), with max-plus (or 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 April 2010. The conference was exclusively marked by a rare natural event: the eruption of an Icelandic volcano Eyjafjallajoekull, which blocked the functioning of most of the airlines, turning the way back for many participants to an adventurous enterprise.

Presents mathematical ideas and models that can be used to facilitate rational environmental policy making. Describes classical models for biological community performance, ecological system stability, and population dynamics, presents air pollution models and methods for solving emission problems, and highlights major results of the application of