Suppose two firms engage in simultaneous quantity competition. Both firms have 0 marginal cost. Firm A :   P(Q)= 24-Q Firm B: P(Q)= 24-2Q a) Find the Nash Equilibrium quantities q^NE and profits.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Suppose two firms engage in simultaneous quantity competition. Both firms have 0
marginal cost.

Firm A :   P(Q)= 24-Q

Firm B: P(Q)= 24-2Q

a) Find the Nash Equilibrium quantities q^NE and profits.
(b) Find the Monopoly Quantity QM and Profit.
(c) Now suppose the game is repeated infinitely and each firm has a common discount
factor δ. Find the required discount factor to sustain the following grim trigger
strategy as a SPNE: Play Q^M /2 if this has been played in every previous period,
otherwise play q^NE. 

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