TY - JOUR AU - Ellison,Glenn AU - Fudenberg,Drew TI - Knife Edge of Plateau: When Do Market Models Tip? JF - National Bureau of Economic Research Working Paper Series VL - No. 9528 PY - 2003 Y2 - March 2003 UR - http://www.nber.org/papers/w9528 L1 - http://www.nber.org/papers/w9528.pdf N1 - Author contact info: Glenn Ellison Department of Economics Massachusetts Institute of Technology 50 Memorial Drive, E52-380A Cambridge, MA 02142-1347 Tel: 617/253-8702 Fax: 617/253-1330 E-Mail: gellison@mit.edu Drew Fudenberg Department of Economics Harvard Unviersity 1805 Cambridge St Cambridge, MA 02138 E-Mail: dfudenberg@harvard.edu AB - 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 [1989] asset market model, and Ellison, Fudenberg and M”bius's [2002] model of competing auctions. ER -