4. The following payoff matrix shows the profit payoff to firms A and B from combinations of price strategies HI and LO. A B HI HI (6,6) LOW (16,-5) LOW (-7, 15) (0, 0) (a) In a one period game, what strategy would each firm follow, and why? Determine the equilibrium on the one-period game. (b) Now assume the game is infinite in length. Firm B goes HI in period 1 and continues with HI so long as A does as well. Firm A is deciding between HI and LO. Determine the range of discount rates for which HI is the better choice for Firm A.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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4. The following payoff matrix shows the profit payoff to firms A and B from combinations of
price strategies HI and LO.
A
НІ
LOW
B
HI
(6, 6)
(16, -5)
LOW
(-7, 15)
(0, 0)
(a) In a one period game, what strategy would each firm follow, and why? Determine the
equilibrium on the one-period game.
(b) Now assume the game is infinite in length. Firm B goes HI in period 1 and continues
with HI so long as A does as well. Firm A is deciding between HI and LO. Determine
the
range of discount rates for which HI is the better choice for Firm A.
Transcribed Image Text:4. The following payoff matrix shows the profit payoff to firms A and B from combinations of price strategies HI and LO. A НІ LOW B HI (6, 6) (16, -5) LOW (-7, 15) (0, 0) (a) In a one period game, what strategy would each firm follow, and why? Determine the equilibrium on the one-period game. (b) Now assume the game is infinite in length. Firm B goes HI in period 1 and continues with HI so long as A does as well. Firm A is deciding between HI and LO. Determine the range of discount rates for which HI is the better choice for Firm A.
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