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Prof.
David Yeung & Prof. Leon Petrosyan
Prof.
Leon Petrosyan
Prof.
John Nash @ hksyu |
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SRS
Consortium for
Advanced Study in Dynamic
Cooperative Games
- The SRS Consortium is a joint
research initiative for advanced study in dynamic cooperation under
the auspices of the Department of Business Administration of Hong
Kong Shue Yan University, Karelian Institute of Applied Mathematics
Research of Russian Academy of Sciences and the Center of Game
Theory of St Petersburg State University.
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Game theory is one of
the core subjects of decision sciences. To analyze decision making
in an interactive environment, it draws on mathematics, statistics,
economics, management science, political study and other
disciplines. Theoretical research and applications in games are
proceeding at increasing pace – in areas ranging from aircraft
combat and missile control to market development, environmental
planning, natural resources extraction, competition policy,
negotiation techniques, capital accumulation, investment and
inventory management. Cooperative games aim to achieve socially
optimal and group-efficient solutions to decision problems involving
strategic action.
- The requirement for the establishment
of a genuine institution for advanced study in an academic field is
the availability of world-leading expertise in the field. The recent
ground-breaking work by members of the SRS Consortium established a
generalized theorem for the derivation of analytically tractable
subgame consistent solutions and made possible the rigorous study of
dynamic stochastic cooperation. It becomes the foundation for
further study in the field.
- Other pioneering and definitive
contributions in the field of game theory made by members in the
Consortium include:
(1) The world’s first
time-consistent solution mechanism for cooperative differential
games.
(2) A new paradigm in game theory
– randomly-furcating stochastic differential games.
(3) A novel class of stochastic
differential games with infinite number of overlapping generations
of uncertain types of players.
(4) The world’s first ever class
of differential games with endogenous horizons solved in feedback
Nash equilibria.
(5) The world’s first ever
analysis of cooperative stochastic differential games with
nontransferable payoffs and their subgame consistent solutions.
(6) A novel class of bargaining
games – strategic concession game.
(7) The world’s first
time-consistent solution mechanism for discrete-time cooperative
dynamic games.
(8) The first ever analysis on
institutional investor speculation in a stochastic differential
games framework
(9) The world’s first ever
analysis on dynamically stable (time-consistent/subgame
consistent) corporate joint ventures.
(10) The world’s first ever
class of differential games with infinite overlapping generations
of players in renewable resource economics.
(11) Solution theorem for
stochastic differential games in which there is an infinite number
of overlapping generations of uncertain types of players.
(12) Mathematical theorem for the
derivation of individual player’s payoff functions in
cooperative differential games with nontransferable payoffs
(13) Mathematical theorem for the
derivation of individual player’s payoff functions in
cooperative stochastic differential games with nontransferable
payoffs.
(14) The world’s first
cooperative stochastic differential games in pollution management.
(15) The first ever analysis of
cooperative stochastic differential games with nontransferable
payoffs and their subgame consistent solutions derived
(16) The first ever class of
pollution management differential games with subgame consistent
cooperative solutions
Consortium Activities
i) Performing advanced study, research
and intellectual exchange in dynamic cooperative game theory and game
science.
ii) Promotion of the applications of
dynamic cooperative game theory to real world problems, particularly
in transboundary environmental management, global financial
institution reform, international business development, and
sustainable energy supply.
iii) Disseminating and popularizing
cooperative game theoretic reasoning to the public.
iv) Hosting an Editorial Office of the
International Game Theory Review. The Review is an affiliated journal
of the International Society of Dynamic Games, and the top-ranking
journal in dynamic games. Its Editorial Board includes many of the
world’s most eminent dynamic game theorists: George Leitmann,
Guillermo Owen, Tamar Basar, Geert Jan Olsder, Leon Petrosyan, Steffen
Jorgensen, Alain Haurie, Gustav Feichtinger, Josef Shinar, Koos Vrieze
and David Yeung (currently Managing Editor). Nobel laureate John Nash
and the President of Russian Academy of Sciences Yuri Osipov are also
Associate Editors of the Review.
Office bearers of the Consortium:
- Executive Director: Prof. David Yeung
(HKSYU)
- Co-directors:
- Associate Director (Administration):
Dr. Ricky Szeto (HKSYU)
- Research Project Manager: Cynthia
Zhang
Contact Us: srs@hksyu.edu
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