(d) Suppose the game is repeated indefinitely, and each player discounts his/her payoff with a discount factor & € (0,1). Find a subgame perfect equilibrium in which (H,T) and (L,T) are played alternately on the equilibrium path. Compute the discount factor 8 needed for this equilibrium. (e) Suppose the game is repeated indefinitely. Player 1 (the row player) discounts her payoff with a discount factor d₁ € (0,1). Player 2 discounts his payoff with a discount factor d₂ = 0. That is, in any given period, player 2 only cares about his payoff in that period. Can you find a subgame perfect equilibrium in which (H,T) is played in every period on the equilibrium path. If no, explain. If yes, compute the discount factor d₁ needed for this equilibrium.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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(d) Suppose the game is repeated indefinitely, and each player discounts his/her payoff
with a discount factor & € (0, 1). Find a subgame perfect equilibrium in which
(H,T) and (L,T) are played alternately on the equilibrium path. Compute the
discount factor & needed for this equilibrium.
(e) Suppose the game is repeated indefinitely. Player 1 (the row player) discounts
her payoff with a discount factor d₁ € (0,1). Player 2 discounts his payoff with
a discount factor d₂ = 0. That is, in any given period, player 2 only cares about
his payoff in that period. Can you find a subgame perfect equilibrium in which
(H, T) is played in every period on the equilibrium path. If no, explain. If yes,
compute the discount factor d₁ needed for this equilibrium.
Transcribed Image Text:(d) Suppose the game is repeated indefinitely, and each player discounts his/her payoff with a discount factor & € (0, 1). Find a subgame perfect equilibrium in which (H,T) and (L,T) are played alternately on the equilibrium path. Compute the discount factor & needed for this equilibrium. (e) Suppose the game is repeated indefinitely. Player 1 (the row player) discounts her payoff with a discount factor d₁ € (0,1). Player 2 discounts his payoff with a discount factor d₂ = 0. That is, in any given period, player 2 only cares about his payoff in that period. Can you find a subgame perfect equilibrium in which (H, T) is played in every period on the equilibrium path. If no, explain. If yes, compute the discount factor d₁ needed for this equilibrium.
3. Consider the following two-player game:
H
L
T
D
2,3 0,2
4,0 1,1
Transcribed Image Text:3. Consider the following two-player game: H L T D 2,3 0,2 4,0 1,1
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