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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?
An outcome of a game is Pareto dominated if another outcome would build a minimum of one player at an advantage while not hurting the other player. That is, another outcome is weak
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In any game, payoffs are numbers that represent the motivations of players. Payoffs might represent profit, quantity, "utility," or different continuous measures (cardinal payoffs)
A static game is one during which all players build choices (or choose a strategy) simultaneously, while not information of the methods that are being chosen by different players.
I wanna know the language to make games
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