We characterize when stable and strategy-proof matching is possible in the setting of many-to-one matching with contracts. We introduce three novel conditions---observable substitutability, observable size monotonicity, and non-manipulability via contractual terms---and show that when these...

We introduce a model in which firms trade goods via bilateral contracts which specify a buyer, a seller, and the terms of the exchange. This setting subsumes (many-to-many) matching with contracts, as well as supply chain matching. When firms' relationships do not exhibit a supply chain...

We introduce a model in which agents in a network can trade via bilateral contracts. We find that when continuous transfers are allowed and utilities are quasi-linear, the full substitutability of preferences is sufficient to guarantee the existence of stable outcomes for any underlying network...

Firms often find it valuable to lock in repeat consumers, and they often do so via loyalty programs such as frequent-flyer miles or discounts for returning consumers. We introduce a model of loyalty programs in the presence of competition and show that, surprisingly, such programs result in...

We provide an illustration of how the design of labor market clearing mechanisms can affect incentives for human capital acquisition. Specifically, we extend the labor market matching model (with discrete transfers) of Kelso and Crawford (1982) to incorporate the possibility that agents may...

We introduce a model in which firms trade goods via bilateral contracts which specify a buyer, a seller, and the terms of the exchange. This setting subsumes (many-to-many) matching with contracts, as well as supply chain matching. When firms' relationships do not exhibit a supply chain...

We use the supply chain matching framework to study the effects of firm exit. We show that the exit of an initial supplier or end consumer has monotonic effects on the welfare of initial suppliers and end consumers but may simultaneously have positive and negative effects on intermediaries....