Help to solve Identify all purestrategy Nash equilibria of t

Help to solve

Identify all pure-strategy Nash equilibria of the following game:

Solution

Pure nash equilibrium is a condition where both players would not be willing to move as they will end with lesser pay off.

Player 1 has chances of choosing (b) more than other choices and player 2 has willingess to choose E more than other choices.Possible nash equilibria: when player 1 moves

(12,30) , (35,93),(5,64)

When player 2 moves first:

(98,10), (35,93), (80,80)

Hence the common equilibrium is (35,93)

(35,93) is nash equilibrium.