Critical Mass and Network Size with Application to the US Fax Market
AbstractWe analyze the equilibrium size of networks under alternative market structures. Networks are characterized by positive size externalities (commonly called "network externalities"). That is, the benefits of the addition of an extra node (or an extra customer) exceed the private benefits accruing to the particular node (or customer). A direct consequence of this demand structure is that perfect competition does not implement the optimal outcome. Because of the externality, there exists a range of prices within which three different network sizes can be supported as equilibria: a zero size network, an intermediate size that is unstable, and a large stable and Pareto optimal one. We expect that the market will select the largest of the three equilibrium networks. As a result, small networks will not observed. We call critical mass the size of the smallest network that can be supported in equilibrium. Alternative allocation systems internalize the network externality to different degrees, and therefore result in a variety of sizes of critical masses and price-network size paths. A welfare-maximizing planner supports a larger network than results in perfect competition. Surprisingly, a monopolist, even if allowed to influence consumers' expectations, always chooses a network of smaller size than in perfect competition. Oligopolists of compatible network goods support networks of smaller size than perfect competition and larger than monopoly. We extend our results to durable goods in a dynamic setting. In the presence of a downward time trend for industry marginal cost, the presence of network externalities increases the speed at which market demand grows. We use this prediction to calibrate the model and obtain estimates of the parameter measuring a consumer's valuation of the installed base (i.e., the network effect) using aggregate time series data on prices and quantities in the US fax market.
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Bibliographic InfoPaper provided by New York University, Leonard N. Stern School of Business, Department of Economics in its series Working Papers with number 95-11.
Date of creation: Aug 1995
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Postal: New York University, Leonard N. Stern School of Business, Department of Economics, 44 West 4th Street, New York, NY 10012-1126
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networks; critical mass; fax; externalities;
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- L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance
- D4 - Microeconomics - - Market Structure and Pricing
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"A short survey of network economics,"
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- Nicoletta Corrocher & Roberto Fontana, 2006.
"Expectations, Network Effects and Timing of Technology Adoption: Some Empirical Evidence from a Sample of SMEs in Italy,"
SPRU Working Paper Series
150, SPRU - Science and Technology Policy Research, University of Sussex.
- Nicoletta Corrocher & Roberto Fontana, 2008. "Expectations, network effects and timing of technology adoption: some empirical evidence from a sample of SMEs in Italy," Small Business Economics, Springer, vol. 31(4), pages 425-441, December.
- Baraldi, A. Laura, 2008. "Network Externalities and Critical Mass in the Mobile Telephone Network: a Panel Data Estimation," MPRA Paper 13373, University Library of Munich, Germany.
- Andrea Bonaccorsi & Cristina Rossi, 2002. "The Adoption of Business to Business E-Commerce: Heterogeneity and Network Externality Effects," LEM Papers Series 2002/12, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
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