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Competitive pricing strategies in social networks
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Competitive pricing strategies in social networks

Author

Listed:
  • Zenou, Yves
  • Chen, Ying-Ju
  • Zhou, Junjie

Abstract

We study pricing strategies of competing firms who sell heterogeneous products to a group of customers in a social network. Goods are substitutes and each customer gains network externalities from her neighbors who consume the same products. We show that there is a unique subgame-perfect equilibrium where, first, firms choose the prices of each good for each consumer, and, then, individuals decide their consumption of the goods. We also fully characterize the equilibrium prices for any network structure, and relate these equilibrium outcomes to the familiar Katz-Bonacich network centrality measures. Contrary to the monopoly case, the equilibrium price of a customer not only depends on her own characteristics but also on others' characteristics. We show that firms price discriminate and charge lower prices to more central consumers. This means that more central consumers obtain a larger discount because of their impact in terms of consumption on their neighbors. We also show that the firms' equilibrium profits can decrease when either the network becomes denser or network effects are higher.

Suggested Citation

  • Zenou, Yves & Chen, Ying-Ju & Zhou, Junjie, 2015. "Competitive pricing strategies in social networks," CEPR Discussion Papers 10857, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:10857
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    as
    1. Ushchev, Philip & Zenou, Yves, 2018. "Price competition in product variety networks," Games and Economic Behavior, Elsevier, vol. 110(C), pages 226-247.
    2. Attila Ambrus & Rossella Argenziano, 2009. "Asymmetric Networks in Two-Sided Markets," American Economic Journal: Microeconomics, American Economic Association, vol. 1(1), pages 17-52, February.
    3. Pascal Billand & Christophe Bravard & Subhadip Chakrabarti & Sudipta Sarangi, 2014. "A note on networks of collaboration in multi-market oligopolies," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 53(2), pages 325-335, September.
    4. Deroian, Frederic & Gannon, Frederic, 2006. "Quality-improving alliances in differentiated oligopoly," International Journal of Industrial Organization, Elsevier, vol. 24(3), pages 629-637, May.
    5. Pierre-Philippe Combes & Thierry Mayer & Jacques-François Thisse, 2008. "Economic Geography: The Integration of Regions and Nations," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00311000, HAL.
    6. Jean‐Charles Rochet & Jean Tirole, 2006. "Two‐sided markets: a progress report," RAND Journal of Economics, RAND Corporation, vol. 37(3), pages 645-667, September.
    7. Avinash Dixit, 1979. "A Model of Duopoly Suggesting a Theory of Entry Barriers," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 20-32, Spring.
    8. Coralio Ballester & Antoni Calvó-Armengol & Yves Zenou, 2006. "Who's Who in Networks. Wanted: The Key Player," Econometrica, Econometric Society, vol. 74(5), pages 1403-1417, September.
    9. Nicholas Economides, 1997. "The Economics of Networks," Brazilian Electronic Journal of Economics, Department of Economics, Universidade Federal de Pernambuco, vol. 1(0), December.
    10. Sergio Currarini & Francesco Feri, 2015. "Information sharing networks in linear quadratic games," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(3), pages 701-732, August.
    11. Caillaud, Bernard & Jullien, Bruno, 2003. "Chicken & Egg: Competition among Intermediation Service Providers," RAND Journal of Economics, The RAND Corporation, vol. 34(2), pages 309-328, Summer.
    12. Gianmarco Ottaviano & Takatoshi Tabuchi & Jacques-François Thisse, 2021. "Agglomeration And Trade Revisited," World Scientific Book Chapters, in: Firms and Workers in a Globalized World Larger Markets, Tougher Competition, chapter 3, pages 59-85, World Scientific Publishing Co. Pte. Ltd..
    13. Bloch, Francis & Quérou, Nicolas, 2013. "Pricing in social networks," Games and Economic Behavior, Elsevier, vol. 80(C), pages 243-261.
    14. Yann Bramoull? & Rachel Kranton & Martin D'Amours, 2014. "Strategic Interaction and Networks," American Economic Review, American Economic Association, vol. 104(3), pages 898-930, March.
    15. Matthew O. Jackson & Brian W. Rogers & Yves Zenou, 2017. "The Economic Consequences of Social-Network Structure," Journal of Economic Literature, American Economic Association, vol. 55(1), pages 49-95, March.
    16. Ozan Candogan & Kostas Bimpikis & Asuman Ozdaglar, 2012. "Optimal Pricing in Networks with Externalities," Operations Research, INFORMS, vol. 60(4), pages 883-905, August.
    17. Ochs, Jack & Park, In-Uck, 2010. "Overcoming the coordination problem: Dynamic formation of networks," Journal of Economic Theory, Elsevier, vol. 145(2), pages 689-720, March.
    18. repec:hrv:faseco:4589709 is not listed on IDEAS
    19. Mengze Shi, 2003. "Social Network-Based Discriminatory Pricing Strategy," Marketing Letters, Springer, vol. 14(4), pages 239-256, December.
    20. Banerji, A. & Dutta, Bhaskar, 2009. "Local network externalities and market segmentation," International Journal of Industrial Organization, Elsevier, vol. 27(5), pages 605-614, September.
    21. Cabral, Luis M. B. & Salant, David J. & Woroch, Glenn A., 1999. "Monopoly pricing with network externalities," International Journal of Industrial Organization, Elsevier, vol. 17(2), pages 199-214, February.
    22. Farrell, Joseph & Saloner, Garth, 1986. "Installed Base and Compatibility: Innovation, Product Preannouncements, and Predation," American Economic Review, American Economic Association, vol. 76(5), pages 940-955, December.
    23. Marc J. Melitz, 2003. "The Impact of Trade on Intra-Industry Reallocations and Aggregate Industry Productivity," Econometrica, Econometric Society, vol. 71(6), pages 1695-1725, November.
    24. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
    25. Jeffrey Rohlfs, 1974. "A Theory of Interdependent Demand for a Communications Service," Bell Journal of Economics, The RAND Corporation, vol. 5(1), pages 16-37, Spring.
    26. Elias Carroni & Simone Righi, 2015. "Pricing in Social Networks under Limited Information," Working Papers 1503, University of Namur, Department of Economics.
    27. Aoyagi, Masaki, 2018. "Bertrand competition under network externalities," Journal of Economic Theory, Elsevier, vol. 178(C), pages 517-550.
    28. Itay P. Fainmesser & Andrea Galeotti, 2016. "Pricing Network Effects," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 83(1), pages 165-198.
    29. Katz, Michael L & Shapiro, Carl, 1985. "Network Externalities, Competition, and Compatibility," American Economic Review, American Economic Association, vol. 75(3), pages 424-440, June.
    30. repec:hal:pseose:hal-01013603 is not listed on IDEAS
    31. Frédéric Deroïan & Frédéric Gannon, 2006. "Quality-improving alliances in differentiated oligopoly," Post-Print halshs-00369724, HAL.
    32. Zenou, Yves & Chen, Ying-Ju & Zhou, Junjie, 2015. "Multiple Activities for Socially-Connected Criminals," CEPR Discussion Papers 10709, C.E.P.R. Discussion Papers.
    33. Pascal Billand & Christophe Bravard & Subhadip Chakrabarti & Sudipta Sarangi, 2014. "A Note on Networks of Collaboration in Multi-market Oligopolies," Post-Print halshs-00878943, HAL.
    34. Yannis M. Ioannides, 2012. "From Neighborhoods to Nations: The Economics of Social Interactions," Economics Books, Princeton University Press, edition 1, volume 1, number 9892.
    35. Zhou, Junjie & Chen, Ying-Ju, 2015. "Key leaders in social networks," Journal of Economic Theory, Elsevier, vol. 157(C), pages 212-235.
    36. Bruno Jullien, 2011. "Competition in Multi-sided Markets: Divide and Conquer," American Economic Journal: Microeconomics, American Economic Association, vol. 3(4), pages 186-220, November.
    37. Leo Katz, 1953. "A new status index derived from sociometric analysis," Psychometrika, Springer;The Psychometric Society, vol. 18(1), pages 39-43, March.
    38. Mark Armstrong Author-Email: mark.armstrong@ucl.ac.uk Author-Workplace-Name: University College of London, 2006. "Competition in Two-Sided Markets," RAND Journal of Economics, The RAND Corporation, vol. 37(3), pages 668-691, Autumn.
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    More about this item

    Keywords

    Competition; Differentiated products; Pricing; Social Networks;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L14 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Transactional Relationships; Contracts and Reputation

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