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Consider the following three games (Chicken, Matching Pennies, Stag Hunt):
Chicken Player 2
Player 1
D V
D -100;-100 10;-10
V -10; 10 -1;-1
Matching Pennies Player 2
H T
H 1;-1 -1; 1
T -1; 1 1;-1
Stag Hunt Player 2
S R
S 5; 5 0; 1
R 1; 0 1; 1
(a) In each of the above games, identify the pure strategy Nash Equilibria when both players move simultaneously
(b) Now imagine that player 1 chooses her action .rst, and player 2 observes player 1.s choice before choosing her action. What will be subgame perfect Nash Equilibrium outcome of each game? (you do not need to be very formal in this question. An explanation based on your answer to a. will be enough).
(c) In which game(s) is there a .rst mover advantage? In which game(s) is there a second mover advantage? Does making the game sequential ever bene.t both players?
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Rollback equilibrium (b) In the rollback equilibrium, A and B vote For while C and D vote Against; this leads to payoffs of (3, 4, 3, 4). The complete equil
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A priori knowledge usually enables us to decide that some coefficients must be zero in the particular equation, while they assume non-zero values in other equations of the system.
mixed strategy game with ordinal and cardinal payoffs example please
(a) A player wins if she takes the total to 100 and additions of any value from 1 through 10 are allowed. Thus, if you take the sum to 89, you are guaran- teed to win; your oppone
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