Consider the extensive form game involving two players, N = {1,2}, Illustrated in the game tree below. Player 1 receives the first payoff listed In each terminal history, player 2 receives the second listed payoff in each terminal history. 2 8 -- 1 C 2 (1, 0)
Consider the extensive form game involving two players, N = {1,2}, Illustrated in the game tree below. Player 1 receives the first payoff listed In each terminal history, player 2 receives the second listed payoff in each terminal history. 2 8 -- 1 C 2 (1, 0)
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:3.
Consider the extensive form game involving two players, N = {1,2}, Illustrated in the
game tree below. Player 1 receives the first payoff listed In each terminal history,
player 2 receives the second listed payoff in each terminal history.
a
(2,3)
B
1
a
A
2
(1,0)
(3, 1) (3, 0) (0,4)
Note: the dashed line signifies that histories B and C are contained in the same
information set.
a. Identify each player's strategy set and represent this extensive form game in
strategic form.
b. By clearly identifying both players' best-response functions, solve for all pure
and mixed strategy Nash equilibria of this game. Make sure that you explain
your solution method carefully.
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