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Negative network effects and asymmetric pure price equilibria

Author

Listed:
  • Renato Soeiro

    (University of Porto and Inesc Tec)

  • Alberto A. Pinto

    (University of Porto and Inesc Tec)

Abstract

We show that in finite settings with identical firms and consumers, asymmetric pure price equilibria with positive profits exist. We consider a price competition duopoly for a homogeneous product. Demand stems from a second-stage consumption game at posted prices, with consumers’ behavior impacted by negative network effects. We characterize equilibrium prices and demand. In all subgame-perfect pure price equilibria, both firms have positive profits, and in some, firms charge different prices.

Suggested Citation

  • Renato Soeiro & Alberto A. Pinto, 2023. "Negative network effects and asymmetric pure price equilibria," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 22(1), pages 99-124, January.
  • Handle: RePEc:spr:portec:v:22:y:2023:i:1:d:10.1007_s10258-021-00199-3
    DOI: 10.1007/s10258-021-00199-3
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    References listed on IDEAS

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    1. Allen, Beth & Thisse, Jacques-Francois, 1992. "Price Equilibria in Pure Strategies for Homogeneous Oligopoly," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 1(1), pages 63-81, Spring.
    2. Steffen Hoernig, 2007. "Bertrand Games and Sharing Rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(3), pages 573-585, June.
    3. Carmona, Guilherme & Podczeck, Konrad, 2018. "Invariance of the equilibrium set of games with an endogenous sharing rule," Journal of Economic Theory, Elsevier, vol. 177(C), pages 1-33.
    4. repec:ulb:ulbeco:2013/1759 is not listed on IDEAS
    5. Conley, John P. & Wooders, Myrna H., 1997. "Equivalence of the Core and Competitive Equilibrium in a Tiebout Economy with Crowding Types," Journal of Urban Economics, Elsevier, vol. 41(3), pages 421-440, May.
    6. Oz Shy, 2011. "A Short Survey of Network Economics," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 38(2), pages 119-149, March.
    7. de Palma, A, et al, 1985. "The Principle of Minimum Differentiation Holds under Sufficient Heterogeneity," Econometrica, Econometric Society, vol. 53(4), pages 767-781, July.
    8. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-969, July.
    9. Krishnendu Ghosh Dastidar, 2011. "Existence of Bertrand equilibrium revisited," International Journal of Economic Theory, The International Society for Economic Theory, vol. 7(4), pages 331-350, December.
    10. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, December.
    11. Bagh, Adib, 2010. "Pure strategy equilibria in Bertrand games with discontinuous demand and asymmetric tie-breaking rules," Economics Letters, Elsevier, vol. 108(3), pages 277-279, September.
    12. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.
    13. Diamond, Peter A., 1971. "A model of price adjustment," Journal of Economic Theory, Elsevier, vol. 3(2), pages 156-168, June.
    14. H. Leibenstein, 1950. "Bandwagon, Snob, and Veblen Effects in the Theory of Consumers' Demand," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 64(2), pages 183-207.
    15. Saporiti Alejandro & Coloma Germán, 2010. "Bertrand Competition in Markets with Fixed Costs," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-30, June.
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