Construction of control ensuring equilibrium conditions in a multistep two-person positional game

被引：0

作者：

Zograbyan, G. A. ^{[1
]}

Reshetov, V. Yu. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow 119992, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2014年 / 54卷 / 06期

关键词：

differential game; Nash equilibrium; conflict situation; multistep game;

D O I：

10.1134/S0965542514060153

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An analytical approach is suggested for finding a strategy in a conflict situation described by a linear control system. A modified dynamic programming method is examined as applied to a multistep differential game. The method is used to construct a Nash equilibrium solution.

引用

页码：931 / 938

页数：8