Consider the twoplayer games with the following payoffmatric

Consider the two-player games with the following payoff-matrices (rows and columns describe players\' pure strategies). Find the Nash equilibria of this game. Find the Nash equilibria of this game.

Solution

1) Find the row maximum and the column maximum as shown below

A Nash equilibrium exists where both the players best response is the same. So the Nash equilibria is (3,1)

2)

Find the row maximum and the column maximum as shown below

A Nash equilibrium exists where both the players best response is the same. So the Nash equilibria is (7,2)

	C	D	Row Maximum (second entry)
A	0,1	1,-1	1
B	3,1	5,0	1
Column Maximum (first entry)	3	5