"The dynamic fair gain-sharing value is a mathematically rigorous solution entailing fairness in cooperation with an optimization foundation. Its single-stage version is a complementary alternative to the classic Shapley value." Vladimir Mazalov Chair of Artificial Intelligence in Systems of Control at St Petersburg State University "The dynamic fair gain-sharing solution embodies forward-looking vision, fair distribution of benefits, and full consistency over time — qualities essential for advancing sustainable development, global environmental stewardship, and world peace. With both theoretical concepts and solution techniques, it offers valuable guidance for real-world collaborations and serves as a quintessential reference solution for United Nations cooperation initiatives." Karen Cheung President of World Institute of Sustainable Development Planners and President of UNESCO Hong Kong Association This book presents a new technique for measuring the contributions of the participants in cooperation schemes and formulates a dynamic fair gain-sharing solution that reflects the contributions of the participants. The solution entails individual rationality, group optimality, time consistency, and fair gain-sharing principles. This innovative solution is applicable across a diverse array of dynamic games and is expected to offer an effective means to resolve real-life challenges in collaboration and stands as a reference solution to United Nations cooperation initiatives. The topics in the book include: Dynamic Fair Gain-sharing Cooperation: Theory and Solution Techniques Application of Fair Gain-sharing in Global Environmental Management Dynamic Joint Ventures and Fair Gain-sharing Fair Gain-sharing under Random Exit Dynamic Fair Gain-sharing in Games on a Network Fair Gain-sharing under Dynamic Uncertainty
Prof. David W K Yeung is Director of SRS Consortium for Advanced Study in Cooperative Dynamic Games at Shue Yan University and Co-director of Centre of Game Theory at Saint Petersburg State University. Yeung obtained his PhD in mathematical economics from York University. He studied in the Doctor of Sciences (Doktor Nauk – Continental European higher doctorate above PhD) program in applied mathematics at Saint Petersburg State University and was awarded the University's highest degree of Dr.h.c. for his outstanding contributions in differential games. He has held Faculty positions at Queen's University, University of Hong Kong, and National University of Singapore.
Yeung's main areas of research are game theory, optimization, operations research and stochastic processes, and he has published extensively in these areas. He serves as Managing Editor of
International Game Theory Review; Guest Editor of
Annals of Operations Research, Journal of the Operations Research Society of China, and
Computational and Applied Mathematics; Associate Editor of Dynamic Games & Applications and Associate Editor of
Operations Research Letters. He and Leon Petrosyan have coauthored the world's first books on
Cooperative Stochastic Differential Games (Springer),
Subgame Consistent Economic Optimization (Birkhauser),
Subgame Consistent Cooperation (Springer) and
Durable-strategies Dynamic Games (Springer).
Prof. Leon A Petrosyan is Professor and Head of the Department of Mathematical Game Theory and Statistical Decisions; and Dean of the Faculty of Applied Mathematics-Control Processes at St. Petersburg State University. Petrosyan obtained his PhD at Vilnius State University, Master's and Dr. of Sci. at St. Petersburg State University. In 2008, he was elected as President of the International Society of Dynamic Games (ISDG), and a foreign member of the Academy of Sciences of the Republic of Armenia. He was also awarded the Issacs Award, the highest prize in dynamic games in 2014.
Petrosyan's main areas of research are theory of games, control theory, operations research, cooperative games, differential games and mathematical ecology, and he has published extensively in these areas. He serves as Editor of
International Game Theory Review, Game Theory and Applications; and Chief Editor of
Mathematical Game Theory and Applications, and of the
Viestnik Petrburgskogo Universiteta (Applied Mathematics, Control, Informatics). He and David Yeung have coauthored the world's first books on
Cooperative Stochastic Differential Games (Springer),
Subgame Consistent Economic Optimization (Birkhauser),
Subgame Consistent Cooperation (Springer) and
Durable-strategies Dynamic Games (Springer).
