Nash and IESDS: Consider a two-player game with m pure strategies for each player that can be…

Nash and IESDS: Consider a two-player game with m pure strategies for each player that can be represented by an m × m matrix.

a. Show that if m = 2 and the game has a unique pure-strategy Nash equilibrium then this is the unique strategy profile that survives IESDS.

b. Show that if m = 3 and the game has a unique pure-strategy equilibrium then it may not be the only strategy profile that survives IESDS.