Learning and Evolution in Games

该奖项将资助博弈论方面的工作。 主要目标是开发广泛使用的纳什均衡概念的替代方案。 这一概念及其改进是博弈论大多数应用的基础，然而，在具有多个纳什均衡的博弈中应该做出什么样的预测仍然不清楚，也不清楚什么样的均衡概念适合于策略对应于偶然计划的博弈，而不是行动的非偶然选择。 这个项目的出发点是，游戏中的均衡是学习、模仿或进化的非均衡动态过程的长期结果。 该项目有两个组成部分。 在第一个实验中，PI将模拟耐心长寿的个体的理性学习，并分析当这些个体与一系列匿名对手互动时会发生什么。 第二部分将讨论进化或模仿作为一个动态过程的作用。 在这种情况下，个体会模仿成功玩家的行为（或者说，在基因上被编程为采取成功策略的动物会有更高的繁殖成功率）。 主要目标是确定在这些个体的大而有限的群体中会发生什么。 这个项目将联合收割机结合经济学的最新进展与数学生物学的工作。 研究结果将使许多领域的学者感兴趣，这些领域使用博弈论，包括政治学、社会学、计算机科学和心理学。该奖项是作为2004财政年度人类和社会动力学（HSD）组合的一部分颁发的，此前，NSF的所有董事会和办公室都参加了竞争。 HSD奖是通过特定的程序，可能会在奖励期间发生变化的administered;所有HSD奖的管理是在NSF范围内协调。

This award will fund work in game theory. The major goal is to develop alternatives to the widely-used concept of Nash equilibrium. This concept and its refinements are the basis for most applications of game theory, yet it is still not clear what predictions to make in games with multiple Nash equilibriua, nor just what equilibrium concept is appropriate in games whose strategies correspond to contingent plans, as opposed to an uncontingent choice of an action. The starting point for this project is that equilibria in games arise as the long-run outcome of a non-equilibrium dynamic process of learning, imitation, or evolution. The project has two components. In the first, the PI will model rational learning by patient, long-lived individuals and will analyze what happens when these individuals interact with a succession of anonymous opponents. The second part will fous on the role of evolution or imitation as a dynamic process. Here individuals will imitate the behavior of successful players (or animals genetically programmed to play a successful strategy will have higher reproductive success). The major goal is to determine what will happen in a large but finite population of these individuals. This project will combine recent advances in economics with work in mathematical biology. The results will be of interest to scholars in many fields that use game theory, including political science, sociology, computer science, and psychology.This award is made as part of the FY 2004 Human and Social Dynamics(HSD) portfolio, following a competition that involved participationfrom all NSF Directorates and Offices. HSD awards are administeredthrough specific programs that may change during the award period;management of all HSD awards is coordinated on an NSF-wide basis.