CAREER: Comparative Statics and Dynamic Models

这个职业奖将扩展比较静力学的理论和应用。单调比较静力学是现代经济分析的核心。这些数学方法使我们能够建立模型，预测决策和结果如何对经济环境的变化作出反应。这些方法可以在动态环境中用于研究许多重要的经济问题，包括资本增长，投资决策的时机，搜索和实验，以及动态资产定价。本项目将扩展比较静力学的理论和应用，重点关注(1)比较静力学和动态方法之间的相互作用，(2)单交叉性质的概括和应用，这是一个数学概念，是比较静力学理论的基础，(3)经济决策者之间的相似性和相互依赖性的研究，以及(4)各种应用。这包括应用于政治经济学，金融学，契约理论，以及各种不同的搜索和实验模型。该研究还开发了动态建模的新方法，可用于创建新的动态模型，这些模型可以用比较静力学方法进行分析，而不是数值分析。该奖项还资助了多种教育活动，旨在将单调比较静态方法提供给更广泛的社会科学家和学生。这包括课程开发、专门的教科书和专门的研讨会。

This CAREER award will extend the theory and applications of comparative statics. Monotone comparative statics are central to modern economic analysis. These mathematical methods allow us to build models that can predict how decisions and results react to changes in the economic environment. These methods can be used in dynamic environments to study many important economic problems, including capital growth, the timing of investment decisions, search and experimentation, and dynamic asset pricing.This project will extend the theory and applications of comparative statics, with a focus on (1) the interplay between comparative statics and dynamic methods, (2) generalizations and applications of the single-crossing property, a mathematical concept that underlies much comparative statics theory, (3) the study of similarity and interdependence between economic decision makers, and (4) a variety of applications. This include applications to political economy, finance, contract theory, and a variety of different search and experimentation models. The research also develops new methods for dynamic modeling that can be used to create new dynamic models that can be analyzed with comparative statics methods as opposed to numerical analysis. The award also funds multiple educational activities that are designed to make monotone comparative statics methods available to a broader range of social scientists and students. This includes course development, a specialized textbook, and a specialized workshop.