rock paper scissors rock 0. -3 1 раper 0. -1 scissors -1 (a) Show that xT= ( ) and yT= ( ) together are not a Nash equilibrium for this modified game. 3' 31 (b) Formulate a linear program that can be used to calculate a mixed strategy xE A(R) that maximises Rosemary's security level for this modified game. (c) Solve your linear program using the 2-phase simplex algorithm. You should use the format given in lectures. Give a mixed strategy x E A(R) that has an optimal security level for Rosemary and a mixed strategy y E A(C) that has an optimal security level for Colin.
rock paper scissors rock 0. -3 1 раper 0. -1 scissors -1 (a) Show that xT= ( ) and yT= ( ) together are not a Nash equilibrium for this modified game. 3' 31 (b) Formulate a linear program that can be used to calculate a mixed strategy xE A(R) that maximises Rosemary's security level for this modified game. (c) Solve your linear program using the 2-phase simplex algorithm. You should use the format given in lectures. Give a mixed strategy x E A(R) that has an optimal security level for Rosemary and a mixed strategy y E A(C) that has an optimal security level for Colin.
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.9P
Related questions
Question
![rock paper scissors
гock
0.
-3
1
рарer
1.
-1
scissors
-1
3
0.
(a) Show that xT= ( ) and yT= (3) together are not a Nash equilibrium
3 3
313
for this modified
game.
(b) Formulate a linear program that can be used to calculate a mixed strategy
x € A(R) that maximises Rosemary's security level for this modified
game.
(c) Solve your linear program using the 2-phase simplex algorithm. You should
use the format given in lectures. Give a mixed strategy x E A(R) that has an
optimal security level for Rosemary and a mixed strategy y E A(C) that has
an optimal security level for Colin.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc42a90ac-0cbc-4693-969e-627d957bc11a%2F31b77141-0840-4224-8f19-890f25da8565%2Fw71dwj6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:rock paper scissors
гock
0.
-3
1
рарer
1.
-1
scissors
-1
3
0.
(a) Show that xT= ( ) and yT= (3) together are not a Nash equilibrium
3 3
313
for this modified
game.
(b) Formulate a linear program that can be used to calculate a mixed strategy
x € A(R) that maximises Rosemary's security level for this modified
game.
(c) Solve your linear program using the 2-phase simplex algorithm. You should
use the format given in lectures. Give a mixed strategy x E A(R) that has an
optimal security level for Rosemary and a mixed strategy y E A(C) that has
an optimal security level for Colin.
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