Nash Equilibria in Large Games

Abstract EN

This paper adds to the discussion, in a general setting, that given a Nash-Schmeidler (nonanonymous) game it is not always possible to define a Mas-Colell (anonymous) game.

In the two games, the players have different strategic behaviours and the formulations of the two problems are different.

Also, we offer a novel explanation for the lack of a Nash equilibrium in an infinite game.

We consider this game as the limit of a sequence of approximate, finite games for which an equilibrium exists.

However, the limiting pure strategy function is not measurable.