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Social interactions, product differentiation and discontinuity of demand

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Author Info

  • Pigeard de Almeida Prado, Fernando
  • Belitsky, Vladimir
  • Ferreira, Alex Luiz

Abstract

We propose a discrete choice model of socially interacting consumers choosing between two product variants. The model shows that the discontinuity of demand as well as the demand polarization proposed by Becker (1991), A Note on Restaurant Pricing and Other Examples of Social Influences on Price, depend crucially on the heterogeneity of consumers’ preferences and on the level of product differentiation. When the two products are sufficiently similar, it turns out that the market is shared asymmetrically as suggested by Becker (1991). By contrast, when the products are different and the preferences of the consumers are sufficiently heterogeneous, the market is shared symmetrically as in Hotelling’s (1929) model.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 47 (2011)
Issue (Month): 4-5 ()
Pages: 642-653

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Handle: RePEc:eee:mateco:v:47:y:2011:i:4:p:642-653

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Web page: http://www.elsevier.com/locate/jmateco

Related research

Keywords: Social interactions; Heterogeneity; Product differentiation; Multiple market equilibria; Discontinuity of demand;

References

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  1. Jean-Michel Dalle, 1997. "Heterogeneity vs. externalities in technological competition: A tale of possible technological landscapes," Journal of Evolutionary Economics, Springer, vol. 7(4), pages 395-413.
  2. Gerard Gennotte and Hayne Leland., 1989. "Market Liquidity, Hedging and Crashes," Research Program in Finance Working Papers RPF-184, University of California at Berkeley.
  3. Glaeser, Edward L & Sacerdote, Bruce & Scheinkman, Jose A, 1996. "Crime and Social Interactions," The Quarterly Journal of Economics, MIT Press, vol. 111(2), pages 507-48, May.
  4. Kaizoji, Taisei, 2000. "Speculative bubbles and crashes in stock markets: an interacting-agent model of speculative activity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 287(3), pages 493-506.
  5. Bester, Helmut, 1992. "Bertrand Equilibrium in a Differentiated Duopoly," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(2), pages 433-48, May.
  6. William A. Brock & Steven N. Durlauf, 1999. "A formal model of theory choice in science," Economic Theory, Springer, vol. 14(1), pages 113-130.
  7. Brock, William A & Durlauf, Steven N, 2001. "Discrete Choice with Social Interactions," Review of Economic Studies, Wiley Blackwell, vol. 68(2), pages 235-60, April.
  8. Becker, Gary S, 1991. "A Note on Restaurant Pricing and Other Examples of Social Influences on Price," Journal of Political Economy, University of Chicago Press, vol. 99(5), pages 1109-16, October.
  9. Madrigal, Vicente & Scheinkman, Jose A., 1997. "Price Crashes, Information Aggregation, and Market-Making," Journal of Economic Theory, Elsevier, vol. 75(1), pages 16-63, July.
  10. Gordon, Mirta B. & Nadal, Jean-Pierre & Phan, Denis & Vannimenus, Jean, 2005. "Seller's dilemma due to social interactions between customers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 356(2), pages 628-640.
  11. Yin, Chien-Chung, 1998. " Equilibria of Collective Action in Different Distributions of Protest Thresholds," Public Choice, Springer, vol. 97(4), pages 535-67, December.
  12. Jean-Pierre Nadal & Denis Phan & Mirta Gordon & Jean Vannimenus, 2005. "Multiple equilibria in a monopoly market with heterogeneous agents and externalities," Quantitative Finance, Taylor & Francis Journals, vol. 5(6), pages 557-568.
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Cited by:
  1. Noemí Navarro, 2012. "Price and quality decisions under network effects," Cahiers de recherche 12-01, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke.

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