02682cam a22002897 4500001000700000003000500007005001700012008004100029100002600070245016500096260006600261490004200327500001700369520129400386530006101680538007201741538003601813690009801849690011701947690008702064700002402151700002302175710004202198830007702240856003802317856003702355w16286NBER20151128021502.0151128s2010 mau||||fs|||| 000 0 eng d1 aWeintraub, Gabriel Y.10aIndustry Dynamicsh[electronic resource]:bFoundations For Models with an Infinite Number of Firms /cGabriel Y. Weintraub, C. Lanier Benkard, Benjamin Van Roy. aCambridge, Mass.bNational Bureau of Economic Researchc2010.1 aNBER working paper seriesvno. w16286 aAugust 2010.3 aThis paper explores the connection between three important threads of economic research offering different approaches to studying the dynamics of an industry with heterogeneous firms. Finite models of the form pioneered by Ericson and Pakes (1995) capture the dynamics of a finite number of heterogeneous firms as they compete in an industry, and are typically analyzed using the concept of Markov perfect equilibrium (MPE). Infinite models of the form pioneered by Hopenhayn (1992), on the other hand, consider an infinite number of infinitesimal firms, and are typically analyzed using the concept of stationary equilibrium (SE). A third approach uses oblivious equilibrium (OE), which maintains the simplifying benefits of an infinite model but within the more realistic setting of a finite model. The paper relates these three approaches. The main result of the paper provides conditions under which SE of infinite models approximate MPE of finite models arbitrarily well in asymptotically large markets. Our conditions require that the distribution of firm states in SE obeys a certain "light-tail" condition. In a second set of results, we show that the set of OE of a finite model approaches the set of SE of the infinite model in large markets under a similar light-tail condition. aHardcopy version available to institutional subscribers. aSystem requirements: Adobe [Acrobat] Reader required for PDF files. aMode of access: World Wide Web. 7aD43 - Oligopoly and Other Forms of Market Imperfection2Journal of Economic Literature class. 7aE22 - Investment • Capital • Intangible Capital • Capacity2Journal of Economic Literature class. 7aL13 - Oligopoly and Other Imperfect Markets2Journal of Economic Literature class.1 aBenkard, C. Lanier.1 aVan Roy, Benjamin.2 aNational Bureau of Economic Research. 0aWorking Paper Series (National Bureau of Economic Research)vno. w16286.4 uhttp://www.nber.org/papers/w1628641uhttp://dx.doi.org/10.3386/w16286