Knife Edge of Plateau: When Do Market Models Tip?
This paper studies whether agents must agglomerate at a single location in a class of models of two-sided interaction. In these models there is an increasing returns effect that favors agglomeration, but also a crowding or market-impact effect that makes agents prefer to be in a market with fewer agents of their own type. We show that such models do not tip in the way the term is commonly used. Instead, they have a broad plateau of equilibria with two active markets, and tipping occurs only when one market is below a critical size threshold. Our assumptions are fairly weak, and are satisfied in Krugman's [1991b] model of labor market pooling, a heterogeneous-agent version of Pagano's  asset market model, and Ellison, Fudenberg and Mobius's  model of competing auctions.
Glenn Ellison & Drew Fudenberg, 2003. "Knife-Edge Or Plateau: When Do Market Models Tip?," The Quarterly Journal of Economics, MIT Press, vol. 118(4), pages 1249-1278, November. citation courtesy of