Let i denote the partial order induced on player i 's action space by her preferences over A. That is, Show that if there exists

Let ‰¿Ê¹i denote the partial order induced on player i 's action space by her preferences over A. That is,

Show that if there exists an action profile a* such that a*i is the unique maximal element in (Ai, ‰¿Ê¹i) for every player i, then a* is the unique Nash equilibrium of the game.

aRial (a,,a-i)i (al ,a-i) for every a-i e A-i for every a e