POWRE: Mathematical Modeling of Multi-Agent Systems

lerman, kristina，南加州大学：多智能体系统的数学建模这个power提案概述了一种新的基于物理的方法来解决计算机科学问题。提议的活动利用了作者在物理学方面的训练，特别是复杂系统的物理学，并适用于多智能体系统的研究。本研究的目标是提出一种可行的机制，在这种机制中，具有简单局部策略的智能体之间的相互作用可以在两个领域中产生理想的群体行为：多智能体系统中的联盟形成和传感器网络中的动态路由。然后对提出的机理进行了分析，并建立了该过程的数学模型。该模型表示为一系列耦合微分方程。例如，对于联盟形成问题，该模型描述了联盟的数量和分布如何随时间变化。方程的解描述了集体行为，并且可以对不同参数值的方程进行分析。

EIA-0074790Lerman, KristinaUniversity of Southern CaliforniaPOWRE: Mathematical Modeling of Multi-Agent SystemsThis POWRE proposal outlines a novel physics-based approach to solving computer science problems. The proposed activity leverages the author's training in physics, particularly the physics of complex systems, and applies to the study of multi-agent systems. The goal of the research is to propose a feasible mechanism in which interactions between agents with simple local strategies lead to desirable group behavior in each of the two domains: coalition formation in a multiagent system and dynamic routing in a sensor network. The proposed mechanism is then analyzed and a mathematical model of the process is constructed. The model is expressed as a series of coupled differential equations. For the coalition formation problem, for instance, the model describes how the number and distribution of coalitions change with time. The solutions of the equations describe collective behavior, and they can be analyzed for different values of the parameters.