Abstract

I extend Condorelli’s lower bound on monopoly profit from log-concave demand to a broader class of α-concave demand, with α=0 corresponding to log-concavity and α=1 to concavity. The monopoly profit is at least 1(1+α)1/α of the area under the demand curve. I further derive upper bounds for consumer surplus and deadweight loss relative to monopoly profit and show all three bounds are sharp.

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