U.S.-Switzerland Cooperative Research on Dynamic Multi-AgentOptimization (Applied Mathematics)

该奖项支持托莱多大学的Dean A. Carlson教授与瑞士日内瓦大学管理研究系的Alain B. Haurie教授在数学研究方面的合作。他们对涉及一个或多个决策者的动态优化模型的分析和数值解有共同的兴趣。卡尔森教授为该项目带来了动力系统和无限视界最优控制的强大理论背景。Haurie教授在使用各种优化模型建模经济过程方面具有丰富的经验。将这些互补的专业知识结合起来，将使他们能够有效地开展动力系统理论和计算方法的发展，这些方法允许基于真实数据的解决方案，用于与微观经济分析相关的一类模型。动力系统是现代经济理论的支柱，并在经济增长、投资和议价等研究课题中得到了应用。该研究项目的科学成果将扩展典型的经济建模和数值解决方案中的动态系统知识，并允许对解决方案进行数值计算。这一知识领域提供了一个框架，可应用于更准确地反映国际商业活动真实性质的全球经济模型。

This award supports Professor Dean A. Carlson of the University of Toledo to collaborate in mathematics research with Professor Alain B. Haurie, Department of Management Studies, University of Geneva, Switzerland. They share an interest in the analysis and numerical solutions of dynamic optimization models involving one or several decision makers. Professor Carlson brings to the program a strong theoretical background in dynamical systems and infinite horizon optimal control. Professor Haurie brings extensive experience in modeling economic processes using various optimization models. Uniting this complementary expertise will enable them to work effectively on the development of the theory of dynamical systems and the computational methods permitting solutions based on real data, for a class of models relevant to microeconomic analysis. Dynamical systems are the backbone of modern economic theory and have found applications in studying topics such as economic growth, investment and bargaining, among others. The scientific outcome of this program of research will extend the knowledge dynamical systems that are typical of economic modeling and in the numerical solution permitting a numerical computation of solutions. This area of knowledge provides a framework which may be applied to global economic models that more accurately reflect the true nature of international business activities.