International Journal of applied mathematics and computer science

online read us now

Paper details

Number 4 - December 1995
Volume 5 - 1995

On the existence of Nash equilibrium in a non-cooperative, n-person, linear differential games with measures as coefficients

Oleg A. Malafyeev, Zdzisław Wyderka

Abstract
In this paper, the existence of ε-equilibrium in the sense of Nash for linear differential games with measures as coefficients and with fixed time duration is studied. The strategies of the players are understood in a sense similar to Varaiya-Lin strategies. Two cases of payoffs are considered: payoffs dependent on the whole trajectories and terminal payoffs.

Keywords
-