具有地理分布资源的微分对策的解

SICE 2001. Proceedings of the 40th SICE Annual Conference. International Session Papers (IEEE Cat. No.01TH8603) Pub Date : 2001-07-25 DOI:10.1109/SICE.2001.977871

R. M. de la Guardia, Y. Sawada, H. Mukai

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引用次数: 1

摘要

我们提出了一个计算机工具，用于寻找对抗游戏的局部纳什解决方案，其中两个对立团队的单位分布在一个大的地理区域。微分对策由一个二次支付函数和一组描述离散地理区域上单位分布的系统动力学的常微分方程组成。每个团队的最佳策略是使用迭代算法来寻找游戏的局部纳什均衡解。实验结果证明了这一概念的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Solution of a differential game with geographically distributed resources

We present a computer tool for finding a local Nash solution to an adversarial game in which the units of two opposing teams are distributed over a large geographical area. The differential game consists of a quadratic payoff function and a set of ordinary differential equations describing the system dynamics of the unit distribution over a discretized geographical area. The optimum strategy for each team is determined using an iterative algorithm for finding a local Nash equilibrium solution for the game. Experimental results are presented that demonstrate the validity of this concept.

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来源期刊

SICE 2001. Proceedings of the 40th SICE Annual Conference. International Session Papers (IEEE Cat. No.01TH8603)

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