Advances in Dynamic Games and Applications

Tamer Basar and Alain Haurie, Editors

Birkhäuser, Boston, 1994

ISBN 0-8176-3691-9 (for North America)
ISBN 3-7643-3691-9

This is Volume 1 of the Series: Annals of the International Society of Dynamic Games

The Preface and the Table of Contents of this volume can be found below.

Preface

Recent years have witnessed a surge of activity in the field of dynamic games, in both theory and applications. Theoretical as well as practical problems in zero-sum and nonzero-sum games, continuous time differential games and discrete time multistage games, and deterministic and stochastic games are currently being investigated by researchers in diverse disciplines, such as engineering, mathematics, biology, economics, management science, and political science. This surge of interest has led to the formation of the International Society of Dynamic Games (ISDG) in 1990, whose primary goal is to foster the development of advanced research and applications in the field of game theory. One important activity of the Society is to organize biannually an international symposium which aims at bringing together all those who contribute to the development of this active field of applied science. In 1992 the symposium was organized in Grimentz, Switzerland, under the supervision of an international scientific committee and with the help of a local organizing committee based at University of Geneva. This book, which is the first volume in the new Series, Annals of Dynamic Games (see the Foreword to the Series), is based on presentations made at this symposium. It is however more than a book of proceedings for a conference. Every paper published in this volume has passed through a very selective refereeing process, as in an archival technical journal. Hence this first volume of the Annals of Dynamic Games is a quality publication that presents a timely account of the state of the art in this field.

The papers which have been included in this volume attest to the vitality and diversity of ongoing research in dynamic games and applications. The reader will find here important contributions in the following five areas which also constitute the groups according to which the twenty-three papers have been organized :

We would like to take this opportunity to thank the associate editors of this volume, for their efficient and expeditious handling of the review process; the reviewers for responding with diligence to our request for assistance in this evaluation process; and the authors for their fine contributions to this first volume of the Annals.

Tamer Basar ----------- Alain Haurie
Urbana, Illinois, USA ----- Geneva, Switzerland
April 12, 1993 -------------- April 12, 1993

Table of Contents

Preface ..... (p. vii)

Part I. Zero-sum differential games: Theory, and applications in worst-case controller design

Part II. Zero-sum differential games: Pursuit-evasion games and numerical schemes
Part III. Mathematical programing techniques
Part IV. Stochastic games: Sequential and Markov games
Part V. Applications