The Lerner relationship linking the profit-maximizing price to marginal cost and the elasticity of demand generalizes to the price-setting newsvendor, and the result resolves the puzzle over the different effects of additive and multiplicative uncertainty on the solution. Multiplicative...

For the price-setting newsvendor and general forms of uncertainty, the optimal price and mark-up can be characterized in terms of just the marginal cost of an expected unit sold and the elasticity of the average quantity sold. This paper extends that result to allow for inventory and stock-out...