Solution of a differential game with geographically distributed resources

Author

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

Author_Institution

Dept. of Syst. Sci. & Math., Washington Univ., St. Louis, MO, USA

fYear

2001

fDate

2001

Firstpage

401

Lastpage

406

Abstract

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

Keywords

differential equations; differential games; iterative methods; mathematics computing; optimisation; adversarial game; computer tool; differential game; discretized geographical area; geographically distributed resources; iterative algorithm; local Nash equilibrium solution; ordinary differential equations; quadratic payoff function; Differential equations; Distributed computing; Drives; Game theory; Iterative algorithms; Mathematical model; Nash equilibrium; Nonlinear dynamical systems; Systems engineering and theory; USA Councils;

fLanguage

English

Publisher

ieee

Conference_Titel

SICE 2001. Proceedings of the 40th SICE Annual Conference. International Session Papers

Conference_Location

Nagoya

Print_ISBN

0-7803-7306-5

Type

conf

DOI

10.1109/SICE.2001.977871

Filename

977871