Given the following bimatrix game Exercise 1 (3,4) (2,5) (5,2) (2,0) (4,4) (6.0) with a, b two real parameters: 1. find a, b such that the game is a potential game; 2. for every a, b € R find the best response of the second player to strategy (1, 0, 1) of the first player; 3. find all mixed Nash equilibria profiles for a < 5 and b = 7; 4. find all mixed Nash equilibria profiles for a < 5 and b = 0.
Given the following bimatrix game Exercise 1 (3,4) (2,5) (5,2) (2,0) (4,4) (6.0) with a, b two real parameters: 1. find a, b such that the game is a potential game; 2. for every a, b € R find the best response of the second player to strategy (1, 0, 1) of the first player; 3. find all mixed Nash equilibria profiles for a < 5 and b = 7; 4. find all mixed Nash equilibria profiles for a < 5 and b = 0.
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.3P
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![Exercise 1
Given the following bimatrix game
(3,4) (2, 5) (5, 2)
(2,0) (4, 4) (6,0)
(1, а) (5, 6) (b, 8)
with a, b two real parameters:
1. find a, b such that the game is a potential game;
2. for every a, beR find the best response of the second player to strategy (, 0, ) of the first player;
3. find all mixed Nash equilibria profiles for a < 5 and b = 7;
4. find all mixed Nash equilibria profiles for a < 5 and b = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff84d250d-3879-4216-880f-eb73f0fc712b%2F224e3a4b-b11a-412a-a585-6aff2f078d3e%2Fj5qf1lo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise 1
Given the following bimatrix game
(3,4) (2, 5) (5, 2)
(2,0) (4, 4) (6,0)
(1, а) (5, 6) (b, 8)
with a, b two real parameters:
1. find a, b such that the game is a potential game;
2. for every a, beR find the best response of the second player to strategy (, 0, ) of the first player;
3. find all mixed Nash equilibria profiles for a < 5 and b = 7;
4. find all mixed Nash equilibria profiles for a < 5 and b = 0.
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