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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?
Games with Strat e gic M ov es The ideas in this chapters can be brought to life and the students can better appreciate the subtleties of various strategic moves an
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#Dominance method#
A set of colluding bidders. Ring participants agree to rig bids by agreeing not to bid against each other, either by avoiding the auction or by placing phony (phantom) bids.
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A game tree (also referred to as the in depth form) may be a graphical illustration of a sequential game. It provides data concerning the players, payoffs, strategies, and also the
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(a) Draw a table representing the Prisoner?s Dilemma game. (b) Give a story inspired by real life for the prisoner?s dilemma game that is di¤erent from the story about the two crim
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