Lets say both firms have the same costs; i.e., a symmetric game.
The demand for the total market is:
P= 130- Q
Q is the total market quantity and each firm's production (X1 + X2 ) total up to Q.
Each firm has the identical costs of:
10 *XI?; I=1,2
where $10 is both unit or average cost and also marginal cost of production.
a) What are the payoffs if both firms have equal market shares (ie, produce the same)?
b) Solve for Q=30,40,60.
c) Find the Nash Equilibrium's.
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