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Numerical Question on a subsidized monopoly

Suppose a government agency has a monopoly in the provision of internet connections. The marginal cost of providing internet connections is $ \frac12$, whereas the inverse demand function is given by: ...
2
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Can monopolistic dead weight loss persist without government intervention? If so how?

Can monopolistic dead weight loss persist without government intervention? If so how? I am researching monopolies and find dead weight loss proposed as an evil of monopolies but i can not find any ...
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For what demand function is a monopoly most harmful?

Consider a firm with zero marginal cost. If it gives the product for free, then all the demand is satisfied and the social welfare increases by the maximum possible amount; call this increase $W$. ...