Cooperative Stochastic Differential Games

This book delivers a significant breakthrough in the study of cooperative stochastic differential games. In particular, a generalized theorem for the derivation of analytically tractable "payoff distribution procedure" of subgame consistent solution is presented. Being capable of deriving analytical tractable solutions, the work is not only theoretically interesting but would enable the hitherto intractable problems in cooperative stochastic differential games to be fruitfully explored. Currently, this book is the first ever volume devoted to cooperative stochastic differential games. It aims to provide its readers an effective tool to analyze cooperative arrangements of conflict situations with uncertainty over time. Cooperative game theory has succeeded in offering many applications of game theory in operations research, management, economics, politics and other disciplines. The book should be of interest to game theorists, mathematicians, economists, policy-makers, corporate planners and graduate students.

First ever volume devoted to cooperative stochastic differential games Detailed illustrations Exercises at the ends of chapters/sections Includes supplementary material: sn.pub/extras

Autorentext

David W. K. Yeung is Distinguished Research Professor and Head of Business Administration at Hong Kong Shue Yan University, and the Kantorovich Research Chair in Stochastic Differential Games and co-director of the Centre of Game Theory at Saint Petersburg State University. He is also Distinguished Honorary Professor of Qingdao University - an honor he received along with Nobel laureates John Nash, Reinhard Selten, and Robert Aumann. Yeung's main areas of research are game theory, optimization, and stochastic processes. He serves as Managing Editor of International Game Theory Review, Guest Editor of Annals of Operations Research, Associate Editor of Dynamic Games and Applications, and Editorial Board Member of Mathematical Game Theory & Applications. Yeung has published extensively in world-renowned science journals, in particular, Automatica, Journal of Optimization Theory and Applications, Annals of Operations Research, European Journal of Operational Research, International Game Theory Review, and Mathematical Biosciences.

Inhalt
Deterministic and Stochastic Differential Games.- Cooperative Differential Games in Characteristic Function Form.- Two-person Cooperative Differential Games with Discounting.- Two-person Cooperative Stochastic Differential Games.- Multiplayer Cooperative Stochastic Differential Games.- Cooperative Stochastic Differential Games with Nontransferable Payoffs.