Economists routinely make functional form assumptions about consumer demand to obtain welfare estimates—often for convenience, tractability, or both. How sensitive are welfare estimates to these assumptions? In this paper, we answer this question by providing bounds on welfare that hold for...

Economists routinely make functional form assumptions about consumer demand to obtain welfare estimates. How sensitive are welfare estimates to these assumptions? We answer this question by providing bounds on welfare that hold for families of demand curves commonly considered in different...

How does a private market influence the optimal design of a public program? In this paper, I study a designer who has preferences over how a public option and a private good are allocated. However, she can design only the public option. Her design affects the distribution of consumers who...

This paper studies fixed-price mechanisms in bilateral trade with ex ante symmetric agents. We show that the optimal price is particularly simple: it is exactly equal to the mean of the agents' distribution. The optimal price guarantees a worst-case performance of at least 1/2 of the first-best...