Question

Shown below is the solution to the linear program for finding Player A's optimal mixed strategy in a two-person, zero-sum game.

VARIABLE VALUE REDUCED COSTS
PA1 0.050 0.000
PA2 0.600 0.000
PA3 0.350 0.000
GAINA 3.500 0.000

CONSTRAINT SLACK/SURPLUS DUAL PRICES
1 0.000 -0.500

2 0.000 -0.500
3 0.000 0.000

4 0.000 3.500





a.

What is Player A's optimal mixed strategy?

b.

What is Player B's optimal mixed strategy?

c.

What is Player A's expected gain?

d.

What is Player B's expected loss?

use this area to narratively respond to all four parts of the question

Answer 1

Following are the answer to this question:

Explanation:

For Option a:

Its optimal mixed approach for Player A's to Player A

A1 with a chance of .05 utilizing technique

Using the .60 chance strategy for A2

Use the .35 possibility strategy for A3

For Option b:

Optimal level mixed approach for team B:

Use the strategy for B1 with a probability of 50

Using the chance strategy for B2 at .50

no use strategy for B3

For Option c:

The estimated gain of Player A will be= 3.500

For Option d:

The estimated loss of Player B will be 3.500