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...

This paper shows that a cartel that observes neither costs, prices, nor sales may still enforce a collusive agreement by tying each firm's continuation profit to the truncated current profits of the other firms. The mechanism applies to both price and quantity competition, and the main features...

This paper discusses the incentive to bundle when consumer valuations are non-additive and/or when products are supplied by separate sellers. Whether integrated or separate, a firm has an incentive to introduce a bundle discount when demand for the bundle is more elastic than the overall demand...

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...

A player of privately known strength chooses when to enter a market, and an incumbent chooses whether to compete or concede. Information about the potential entrant's type is revealed publicly according to an exogenous news process and the timing of entry. I analyze stationary equilibria using...

This paper considers general games in which multiple informed principals simultaneously compete to influence the decisions of a common agent. It shows that we can characterize all outcomes of any game in which principals delegate the final decisions to the agent using arbitrary mechanisms, by...