  The paper is concerned with a two-player nonzero-sum differential game in the
case when players are informed about the current position. We consider the game
in control with guide strategies first proposed by Krasovskii and Subbotin. The
construction of universal strategies is given both for the case of continuous
and discontinuous value functions. The existence of a discontinuous value
function is established. The continuous value function does not exist in the
general case. In addition, we show the example of smooth value function not
being a solution of the system of Hamilton--Jacobi equation.
