We study centralized many-to-many matching in markets where agents have private information about (vertical) characteristics that determine match values. Our analysis reveals how matching patterns reflect cross-subsidization between sides. Agents are endogenously partitioned into consumers and...

We develop a theory of price discrimination in many-to-many matching markets in which agents' preferences are vertically and horizontally differentiated. The optimal plans induce negative assortative matching at the margin: agents with a low value for interacting with other agents are included...

We study centralized many-to-many matching in markets where agents have private information about (vertical) characteristics that determine match values. Our analysis reveals how matching patterns reflect cross-subsidization between sides. Agents are endogenously partitioned into consumers and...

This paper studies the exchange of information between two principals who contract sequentially with the same agent, as in the case of a buyer who purchases from multiple sellers. We show that when (a) the upstream principal is not personally interested in the downstream level of trade, (b) the...

This paper considers an environment where two principals sequentially contract with a common agent and studies the exchange of information between the two bilateral relationships. We show that when (a) the upstream principal is not personally interested in the decisions of the downstream...

This paper considers dynamic games in which multiple principals contract sequentially and non-cooperatively with the same agent and provides characterization results useful for applications. Our benchmark model is one of private contracting in which downstream principals do not observe upstream...

These notes examine the problem of how to extend envelope theorems to infinite-horizon dynamic mechanism design settings, with an application to the design of bandit auctions.

We study second-degree price discrimination in markets where the product traded by the monopolist is access to other agents. We derive necessary and sufficient conditions for the welfare and the profit-maximizing mechanisms to employ a single network or a menu of non-exclusive networks. We...

We examine the design of incentive-compatible screening mechanisms for dynamic environments in which the agents' types follow a (possibly non-Markov) stochastic process, decisions may be made over time and may affect the type process, and payoffs need not be time-separable. We derive a formula...

I study the properties of optimal long-term contracts in an environment in which the agent's type evolves stochastically over time. The model stylizes a buyer-seller relationship but the results apply quite naturally to many contractual situations including regulation and optimal...