6. For the two-person game with matrix 4 (3, 5) 6 -7 a. Find the value of Mj. b. Find the value of MII. c. Is the game stable? d. Are there any dominated strategies? e. Find the optimal strategy for player II: Clearly state with what probability player II should choose strategy 1 (col1); with what probability player II should choose strategy 2; and find the value of the game. State whether the game favors player 1 or player 2. 7. For the two-person game with matrix 34 -2 - 5 -3 6 give the LP formulation for finding the optimal mixed strategy for player I. Clearly indicate the meanings of any vari- ables introduced.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section9.2: Elements Of Decision Analysis
Problem 2P
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6. For the two-person game with matrix
4
(3, 5)
6
-7
a. Find the value of Mj.
b. Find the value of MII.
c. Is the game stable?
d. Are there any dominated strategies?
e. Find the optimal strategy for player II: Clearly state with what probability player II should choose strategy 1 (col1);
with what probability player II should choose strategy 2; and find the value of the game. State whether the game favors
player 1 or player 2.
7. For the two-person game with matrix
34
-2
- 5
-3
6
give the LP formulation for finding the optimal mixed strategy for player I. Clearly indicate the meanings of any vari-
ables introduced.
Transcribed Image Text:6. For the two-person game with matrix 4 (3, 5) 6 -7 a. Find the value of Mj. b. Find the value of MII. c. Is the game stable? d. Are there any dominated strategies? e. Find the optimal strategy for player II: Clearly state with what probability player II should choose strategy 1 (col1); with what probability player II should choose strategy 2; and find the value of the game. State whether the game favors player 1 or player 2. 7. For the two-person game with matrix 34 -2 - 5 -3 6 give the LP formulation for finding the optimal mixed strategy for player I. Clearly indicate the meanings of any vari- ables introduced.
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