Calculates the Cournot equilibrium
Author: shiroeExecutions: 2
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Enter the constant term b of the demand function. (b > 0)
Enter the coefficient a of price P in the demand function. (a < 0)
No output will be generated for values of b or a outside the specified range.
Enter the coefficients k1 and k2 of the cost function.
There are no input restrictions, but typically k1 and k2 are greater than 0.
Enter the coefficient a of price P in the demand function. (a < 0)
No output will be generated for values of b or a outside the specified range.
Enter the coefficients k1 and k2 of the cost function.
There are no input restrictions, but typically k1 and k2 are greater than 0.
| x1 | |
| x2 | |
| Sign check for k1 | |
| Sign check for k2 |
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Let the demand function be X = b + aP.
Since we are considering a model with two firms, this is a Nash equilibrium in a duopoly.
We distinguish between the firms (producers supplying goods to the market) by numbers 1 and 2.
The cost functions c1 and c2 are linear functions of their respective output levels x1 and x2,
where c1 = k1 * x1 and c2 = k2 * x2.
Calculate the equilibrium quantities x1 and x2.