Question

For the 2 × 2 game, find the optimal strategy for each player. Be sure to check for saddle points before using the formulas. 7 −8 −5 7

For row player R: r1 = r2 =

For column player C: c1 = c2 =

Find the value of the game for row player R. v =

Who is the game favorable to? This game is favorable to the row player. This game is favorable to the column player. This is a fair game.

Answer 1

Answer:

Given that:

For the 2*2 game,

Row minimum

Coloum maximum

maximum of row minimum [-5]

minimum of coloum maximum [7]

For new player R

r1 = 4 /9

r1+r2 = 1

r2 = 1-r1

= 1-4/9

= 5/9

r2 = 5 / 9 & r1 = 4/9

For Coloum player C:

c1 = 5 /9

c1+c2 = 1

c2 = 1-c1

= 1-5/9

= 4/9

c2 = 4 / 9 & c1 = 5/9

The value of game row player R