Let i denote the partial order induced on player i 's action space by her preferences over

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

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.

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