Determine whether the two-person, zero-sum matrix game is strictly determined.   4 5   2 −4 If the game is strictly determined, answer the following. (If the game is not strictly determined, enter DNE for each.) (b) Find the optimal strategy for each player. The optimal strategy for the row player is to play row  . The optimal strategy for the column player is to play column  . (c) Find the value of the game. (d) Determine whether the game favors one player over the other. It favors the row player.It favors the column player.    It is fair.It is not strictly determined. (DNE)

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.5: Solve Systems Of Equations Using Matrices
Problem 4.87TI: Solve the system of equations using a matrix: {x+yz=02x+4y2z=63x+6y3z=9 .
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Determine whether the two-person, zero-sum matrix game is strictly determined.

 
4 5
 
2 −4

If the game is strictly determined, answer the following. (If the game is not strictly determined, enter DNE for each.)

(b) Find the optimal strategy for each player.

The optimal strategy for the row player is to play row  .
The optimal strategy for the column player is to play column  .

(c) Find the value of the game.


(d) Determine whether the game favors one player over the other.
It favors the row player.It favors the column player.    It is fair.It is not strictly determined. (DNE)
 

 

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