Inconsistency of Perfect Equilibria Consider the 3-person game where player 1 chooses rows, player 2 columns, and player 3 matrices. Let  consist of this game and all its reduced games. Use this...

Inconsistency of Perfect Equilibria

Consider the 3-person game

where player 1 chooses rows, player 2 columns, and player 3 matrices. Let


consist of this game and all its reduced games. Use this collection to show that the perfect Nash equilibrium correspondence is not consistent.