The Nash Field

The present paper starts with a modified definition of regular equilibria. the system of equations used to define regular equilibria induces a globally differentiable structure on the space of mixed strategy combinations. this structure iscalled the nash field. the set of zeros of the nash field which correspond to equilibria is characterized. then the nash field is interpreted as an evolutionary process and it is shown that stability properties of such a process correspond to self-enforcement properties of equilibria of the game. finally, slight perturbations of the nash field can detect stable components of nash equilibria.;