Advances in Dynamic Games Theory, Applications, and Numerical Method
This book focuses on various aspects of dynamic game theory, presenting state-of-the-art research and serving as a testament to the vitality and growth of the field of dynamic games and their applications. The selected contributions, written by experts in
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Series Editor Tamer Bas¸ar
Editorial Board Tamer Bas¸ar, University of Illinois, Urbana Pierre Bernhard, I3S-CNRS and University of Nice-Sophia Antipolis Maurizio Falcone, University of Rome “La Sapienza” Jerzy Filar, University of South Australia, Adelaide Alain Haurie, ORDECSYS, Chˆene-Bougeries, Switzerland Andrzej S. Nowak, University of Zielona G´ora Leon A. Petrosjan, St. Petersburg State University Alain Rapaport, INRIA, Montpelier Josef Shinar, Technion, Haifa
Mich`ele Breton Krzysztof Szajowski Editors
Advances in Dynamic Games Theory, Applications, and Numerical Methods for Differential and Stochastic Games Dedicated to the Memory of Arik A. Melikyan
Editors Mich`ele Breton Department of Management Science HEC Montr´eal 3000 Chemin de la Cˆote Sainte-Catherine Montr´eal, Canada H3T 2A7 [email protected]
Krzysztof Szajowski Institute of Mathematics and Computer Science Wrocław University of Technology Wybrze˙ze Wyspia´nskiego 27 PL-50-370 Wrocław Poland [email protected]
ISBN 978-0-8176-8088-6 e-ISBN 978-0-8176-8089-3 DOI 10.1007/978-0-8176-8089-3 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2010938475 Mathematics Subject Classification (2010): 91A15, 91A22, 91A23, 91A24, 91A25, 91A80 c Springer ScienceCBusiness Media, LLC 2011 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer ScienceCBusiness Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper www.birkhauser-science.com
This volume of the Annals of Dynamic Games is dedicated to the memory of Arik Artavazdovich Melikyan
Foreword
While these Annals were in preparation, on April 6th, 2009 in Moscow, Arik Artavazdovich Melikyan left us. An outstanding mathematician, member of the International Society of Dynamic Games and best friend, he has very unexpectedly left us in a deep mourning. His basic contribution to the theory of pursuit and evasion games lies in new approaches for finding the solutions of Bellman–Isaacs equations and constructing new singular surfaces. His scientific achievements were highly regarded in Russia, which he always considered as his motherland, and where he was elected a corresponding member of the Russian Academy of Sciences. In his second mother country, Armenia, he was also a foreign member of the National Academy of Sciences. He was a good friend, an optimistic and cheerful person, and as such he will remain in our thoughts. St. Petersb
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