STABILITY ANALYSIS lN CONTINUOUS DIFFERENTIAL GAMES

Abstract

The applications of "game theory" and "theory of differential games" mainly deal with economic and political conflicting situations.

The study of differential games is a blending of the notions of control theory with the decision structures anq solution concepts of classical game theory. A differential game model can not hence be considere4 as a double control problem. In general we can reduce a differential game model to control model, if we assume that only one player is active. In the early 1950's Rufus Isaacs's [8], corporation began work

m the field of differential game, theory as Von Neumann was to static • "non-differential game theory [23], his study was the two player zero sum differential game, zero sum means that the goals of the two

players are slictly opposed .

Starr and Ho. [21,22] initiated the development of the theory of differential games involving N-players whose goals are not totally apposed, they drived the necessary conditions for nonzero sum differential games. One of the interesting observing arlSlng m the N-player nonzero-sum games is the possibility of coalitions forming among groups of players.