We study the principal–agent problem. We show that b-convexity of the space of products, a condition which appears in a recent paper by Figalli, Kim and McCann (2011) [9], is necessary to formulate the problem as a maximization over a convex set. We then show that when the dimension m of the...

In markets as diverse as that for specialized industrial equipment or that for retail financial services, sellers or intermediaries may earn profits both from the sale of products and from the provision of pre-sale consultation services. We study how a seller optimally chooses the costly quality...

This paper studies optimal auction design when the seller can affect the buyersʼ valuations through an unobservable ex ante investment. The key insight is that the optimal mechanism may have the seller play a mixed investment strategy so as to create correlation between the buyersʼ otherwise...

We examine an infinite horizon model of quality growth for a durable goods monopoly. The seller may offer any bundle(s) of current and previous quality improvements (upgrades). Subgame perfect equilibrium seller payoffs range from capturing the full social surplus down to only the initial flow...

We consider implementation of a deterministic allocation rule using transfers in quasi-linear private values environments. We show that in multidimensional single peaked type spaces, an allocation rule is implementable if and only if it satisfies a familiar and simple condition called 2-cycle...

This note extends Wiseman [6] to more general reputation games with exogenous learning. Using Gossner's [4] relative entropy method, we provide an explicit lower bound on all Nash equilibrium payoffs of the long-lived player. The lower bound shows that when the exogenous signals are sufficiently...

This paper studies communication in a static Cournot duopoly model under the assumption that the firms have unverifiable private information about their costs. We investigate the conditions under which the firms cannot transmit any information through cheap talk, and show that when these...

We develop a theoretical framework in which political and economic cycles are jointly determined. These cycles are driven by three political economy frictions: policymakers are non-benevolent, they cannot commit to policies, and they have private information about the tightness of the government...

I show that a unique equilibrium exists in an asymmetric two-player all-pay auction with a discrete signal structure, correlated signals, and interdependent valuations. The proof is constructive, and the construction can be implemented as a computer program and be used to derive comparative...