In many matching environments, agreements are multilateral and/or have externalities. We show that stability in these environments depends on agents' aggregate choice behavior. Two different conditions on aggregate choice ensure a stable outcome exists. One applies when contracts are...

We study a class of sequential non-revelation mechanisms in which hospitals make simultaneous take-it-or-leave-it offers to doctors. We prove that all pure strategy subgame perfect equilibriumoutcomes are stable, but the inclusion of contracts shrinks the set of equilibrium outcomes. Our...

There is an emerging consensus that carbon emissions must be limited. An attractive approach to promoting carbon reductions is to encourage reductions in deforestation. But any such strategy must confront a basic problem: agents that might be induced to reduce their actions which would reduce...

We consider rules (strategies, commitments, contracts, or computer programs) that make behavior contingent on an opponent's rule. The set of perfectly observable rules is not well defined. Previous contributions avoid this problem by restricting the rules deemed admissible. We instead limit the...

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...

This paper studies a large class of multi-agent contracting models with the property that agents' payoffs constitute a weighted potential game. Multiple equilibria arise due to agents' strategic interactions. I fully characterize a contracting scheme that is optimal to the principal for a large...

In this paper, we show that stable outcomes exist in matching environments with complementarities, such as social media platforms or markets for patent licenses. Our results apply to both nontransferable and transferable utility settings, and allow for multilateral agreements and those with...