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...

Recent technologies permit matching intermediaries to engage in unprecedented levels of tar- geting. Yet, regulators fear that the welfare gains of such targeting be hindered by the high degree of price customization practiced by matching intermediaries, whereby prices finely depend on the...

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...

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...

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.

Recent technologies enable matching intermediaries to engage in unprecedented levels of targeting, whereby matches finely depend on the agents' characteristics, but also favor customized (i.e., match-specific) pricing. Yet, novel regulations on the transfer of personal data, as well as a renewed...

We study mediated many-to-many matching in markets in which valuations evolve over time as the result of shocks, learning through experimentation, or a preference for variety. The analysis uncovers the key tradeoffs that platforms face in the design of their matching protocols. It shows that the...