Dynamic Cooperation: Cutting-edge Game Theory (Solving Methods and Formulas More Complex than Nobel Prize Contributions)

Author: Yang Rongji, Petrov, Li Songzhi
Publisher:
Publish Date: 2007-02-01
Features: Game theory not only connects every aspect of life but also links the entire human race and the world. The development of game theory has brought revolutionary changes to economics, and today it has become a standard tool for economic analysis. In the research and application scope of game theory, dynamic differential game theory is a branch that is both highly challenging and highly productive. It studies decision-making interactions that change over time. The difficulty of dynamic games lies in the fact that the optimal decision of the previous moment may no longer be optimal in the next moment, making the solution process very challenging. Cooperation is another important theme in economic research. Successful cooperation often leverages synergy, allowing each party to leverage their strengths and advantages to create a win-win situation, even achieving Pareto optimality. However, due to conflicts of interest among the parties involved in the game, the free-rider problem may undermine cooperation. In dynamic environments, cooperation becomes particularly difficult. Yet, the real world is full of dynamic cooperation scenarios, such as international trade negotiations, domestic and foreign investments, cross-border pollution control, and local collaborations. Additionally, the random changes that occur over time further increase the complexity of dynamic games, leading to what is known as stochastic dynamic differential cooperation. In these cases, the mathematical theories and techniques involved in solving cooperation problems are more complex than those related to Nobel Prize contributions. It can be said that solving cooperation problems in stochastic dynamic environments is a major challenge in the application and development of game theory. The authors, Professor Yang Rongji and Petrov, are world-renowned game theory scholars. Their recent series of papers have been highly regarded in the international game theory community, and they have achieved a series of groundbreaking theoretical advances in stochastic differential cooperation, laying the foundation for solving the aforementioned problems and pointing the way for further research. This book provides a concise exposition of this significant theoretical achievement. The authors first introduce the basic concepts of static games and the limitations of game theory in non-dynamic environments using clear and accessible language. Then, they employ newly developed theoretical tools to analyze how to achieve successful cooperation in stochastic dynamic environments. This book represents the forefront of international game theory research and serves as a rare reference for learners and researchers who wish to advance their understanding of game theory from a general level.