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...

We investigate the similarities and differences between matching markets and other canonical economic settings in the presence of complementarity. In particular, we explain the formal connections between the structure of matching markets with complementary contracts and games with strategic...

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...

The literature has shown that complementarity places significant structure on outcomes in matching environments, games, and exchange economies. We examine the extent to which this structure, and the economic intuition underlying it, is common across these classes of environments. We show that...