Subgame Consistent Economic Optimization: An Advanced Cooperative Dynamic Game Analysis

by David W.K. Yeung, Leon A. Petrosyan

Overview

Various imperfections in existing market systems prevent the free market from serving as a truly efficient allocation mechanism, but optimization of economic activities provides an effective remedial measure. Cooperative optimization claims that socially optimal and individually rational solutions to decision problems involving strategic action over time exist. To ensure that cooperation will last throughout the agreement period, however, the stringent condition of subgame consistency is required.
This textbook presents a study of subgame consistent economic optimization, developing game-theoretic optimization techniques to establish the foundation for an effective policy menu to tackle the suboptimal behavior that the conventional market mechanism fails to resolve.

Product Details

ISBN-13:	9780817682613
Publisher:	Birkhäuser Boston
Publication date:	12/06/2011
Series:	Static #x00026; Dynamic Game Theory: Foundations #x00026; Applications
Edition description:	2012
Pages:	395
Product dimensions:	6.10(w) x 9.25(h) x (d)

About the Author

David W. K. Yeung is Distinguished Research Professor and Head of Business Administration at Hong Kong Shue Yan University, andtheKantorovich Research Chair in Shastic 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 shastic processes. He serves as Managing Editor of International Game Theory Review, Guest Editor of Annals of Operations Research, Associate Editor of Dynamic Gamesand 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.

Table of Contents

Preface.- Introduction.-1 Dynamic Strategic Interactions in Economic System.-2 Dynamic Economic Optimization: Group Optimality and Individual Rationality.- 3 Time Consistency and Optimal-Trajectory-Subgame Consistent Economic Optimization.- 4 Dynamically Stable Cost-saving Joint Venture.- 5 Collaborative Environmental Management.- 6 Dynamically Stable Dormant Firm Cartel.- 7 Subgame Consistent Economic Optimization Under Uncertainty.- 8 Cost-saving Joint Venture Under Uncertainty.- 9 Collaborative Environmental Management Under Uncertainty.- 10Subgame Consistent Dormant Firm Cartel.- 11 Dynamic Consistency in Discrete-time Cooperative Games.- 12 Discrete-time Cooperative Games Under Uncertainty.- Technical Appendices.- References.- Index.

Editorial Reviews

From the reviews:
Advance praise for Subgame Consistent Economic Optimization:
The text is truly a world-leading treatise in the field of dynamically consistent economic optimization and a Russian classic in mathematics and economics. It is a timely publication to tackle the increasingly crucial issues of consistency and dynamic stability in collaborative activities in the economic arena. The elegant mathematics developed by the authors and their[useful] applications in economics are prevalent in the analysis. The text expanded L. V. Kantorovich’s award-winning work in economic optimization significantly in the new directions of game-theoretic interaction, dynamic evolution, shasticity, and subgame consistency.
Vladimir Mazalov, Director of Karelian Institute of Applied Mathematical Research, Russian Academy of Sciences
“The book is a comprehensive treatise on subgame consistent economic optimization. It is an important methodological contribution to the research on consistency and dynamic stability of cooperative strategies, developed originally by the authors. … The book is well organized and clear; moreover, it provides an extensive reference list to the relevant economic differential game literature.” (Bruno Viscolani, Mathematical Reviews, January, 2013)

From the Publisher