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The impact of network topology and market structure on pricing

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

Abstract

We develop a two-stage oligopolistic network competition model where, first, firms simultaneously determine their prices, and, second, consumers connected through a network determine their consumption. We show that firms price-discriminate consumers based on the consumer's network position. Denser networks (i.e., network topology) reduce prices, whereas increased competition (i.e., market structure) reduces prices only when competition is weak. However, the prices charged for the most influential consumers can increase with the number of firms when competition is very fierce and when there are strong network externalities. We also show that increasing competition always leads to lower firm profits, whereas equilibrium profits respond to the number of firms more sensitively when the network is denser or the externalities parameter is larger. Finally, we study the effects of network topology and market structure on price dispersion and determine the optimal network structure based on the perspective of both firms and consumers. We also extend the baseline model to allow for asymmetric firms and product compatibility.

Suggested Citation

  • Chen, Ying-Ju & Zenou, Yves & Zhou, Junjie, 2022. "The impact of network topology and market structure on pricing," Journal of Economic Theory, Elsevier, vol. 204(C).
  • Handle: RePEc:eee:jetheo:v:204:y:2022:i:c:s0022053122000813
    DOI: 10.1016/j.jet.2022.105491
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    as
    1. 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.
    2. Marcus Asplund & Volker Nocke, 2006. "Firm Turnover in Imperfectly Competitive Markets -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(2), pages 295-327.
    3. Joseph Farrell & Garth Saloner, 1985. "Standardization, Compatibility, and Innovation," RAND Journal of Economics, The RAND Corporation, vol. 16(1), pages 70-83, Spring.
    4. Nicholas Economides, 1997. "The Economics of Networks," Brazilian Electronic Journal of Economics, Department of Economics, Universidade Federal de Pernambuco, vol. 1(0), December.
    5. Leduc, Matt V. & Jackson, Matthew O. & Johari, Ramesh, 2017. "Pricing and referrals in diffusion on networks," Games and Economic Behavior, Elsevier, vol. 104(C), pages 568-594.
    6. Amir, Rabah & Lazzati, Natalia, 2011. "Network effects, market structure and industry performance," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2389-2419.
    7. Andrea Galeotti & Benjamin Golub & Sanjeev Goyal, 2020. "Targeting Interventions in Networks," Econometrica, Econometric Society, vol. 88(6), pages 2445-2471, November.
    8. Ying‐Ju Chen & Yves Zenou & Junjie Zhou, 2018. "Competitive pricing strategies in social networks," RAND Journal of Economics, RAND Corporation, vol. 49(3), pages 672-705, September.
    9. Ushchev, Philip & Zenou, Yves, 2018. "Price competition in product variety networks," Games and Economic Behavior, Elsevier, vol. 110(C), pages 226-247.
    10. Yann Bramoullé & Rachel Kranton, 2015. "Games Played on Networks," AMSE Working Papers 1530, Aix-Marseille School of Economics, France.
    11. Mark Armstrong, 2006. "Competition in two‐sided markets," RAND Journal of Economics, RAND Corporation, vol. 37(3), pages 668-691, September.
    12. Belhaj, Mohamed & Bervoets, Sebastian & Deroïan, Frédéric, 2016. "Efficient networks in games with local complementarities," Theoretical Economics, Econometric Society, vol. 11(1), January.
    13. Mohamed Belhaj & Frédéric Deroïan, 2016. "The Value of Network Information: Assortative Mixing Makes the Difference," AMSE Working Papers 1618, Aix-Marseille School of Economics, France, revised 11 May 2016.
    14. 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.
    15. 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..
    16. Michael D. König & Xiaodong Liu & Yves Zenou, 2019. "R&D Networks: Theory, Empirics, and Policy Implications," The Review of Economics and Statistics, MIT Press, vol. 101(3), pages 476-491, July.
    17. 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.
    18. Ying-Ju Chen & Yves Zenou & Junjie Zhou, 2018. "Multiple Activities in Networks," American Economic Journal: Microeconomics, American Economic Association, vol. 10(3), pages 34-85, August.
    19. Marc J. Melitz & Giancarlo I. P. Ottaviano, 2021. "Market Size, Trade, and Productivity," World Scientific Book Chapters, in: Firms and Workers in a Globalized World Larger Markets, Tougher Competition, chapter 4, pages 87-108, World Scientific Publishing Co. Pte. Ltd..
    20. Marc J. Melitz & Gianmarco I. P. Ottaviano, 2008. "Market Size, Trade, and Productivity (DOI:10.111/j.1467-937x.2007.00463.x)," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(3), pages 985-985.
    21. 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.
    22. 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.
    23. 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.
    24. Itay P. Fainmesser & Andrea Galeotti, 2020. "Pricing Network Effects: Competition," American Economic Journal: Microeconomics, American Economic Association, vol. 12(3), pages 1-32, August.
    25. Lucia Foster & John Haltiwanger & Chad Syverson, 2008. "Reallocation, Firm Turnover, and Efficiency: Selection on Productivity or Profitability?," American Economic Review, American Economic Association, vol. 98(1), pages 394-425, March.
    26. Johannes Knoll & Jörg Matthes, 2017. "The effectiveness of celebrity endorsements: a meta-analysis," Journal of the Academy of Marketing Science, Springer, vol. 45(1), pages 55-75, January.
    27. Bloch, Francis & Quérou, Nicolas, 2013. "Pricing in social networks," Games and Economic Behavior, Elsevier, vol. 80(C), pages 243-261.
    28. Francis Bloch, 2016. "Targeting and pricing in social networks," PSE-Ecole d'économie de Paris (Postprint) hal-01309549, HAL.
    29. Aoyagi, Masaki, 2018. "Bertrand competition under network externalities," Journal of Economic Theory, Elsevier, vol. 178(C), pages 517-550.
    30. 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.
    31. Katz, Michael L & Shapiro, Carl, 1985. "Network Externalities, Competition, and Compatibility," American Economic Review, American Economic Association, vol. 75(3), pages 424-440, June.
    32. Ozan Candogan & Kostas Bimpikis & Asuman Ozdaglar, 2012. "Optimal Pricing in Networks with Externalities," Operations Research, INFORMS, vol. 60(4), pages 883-905, August.
    33. Chenhao Du & William L. Cooper & Zizhuo Wang, 2016. "Optimal Pricing for a Multinomial Logit Choice Model with Network Effects," Operations Research, INFORMS, vol. 64(2), pages 441-455, April.
    34. repec:hal:pseose:hal-01013603 is not listed on IDEAS
    35. Jackson, Matthew O. & Zenou, Yves, 2015. "Games on Networks," Handbook of Game Theory with Economic Applications,, Elsevier.
    36. Hiller, Timo, 2017. "Peer effects in endogenous networks," Games and Economic Behavior, Elsevier, vol. 105(C), pages 349-367.
    37. Sutton, John, 2007. "Market Structure: Theory and Evidence," Handbook of Industrial Organization, in: Mark Armstrong & Robert Porter (ed.), Handbook of Industrial Organization, edition 1, volume 3, chapter 35, pages 2301-2368, Elsevier.
    38. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, April.
    39. Belhaj, Mohamed & Deroïan, Frédéric, 2021. "The value of network information: Assortative mixing makes the difference," Games and Economic Behavior, Elsevier, vol. 126(C), pages 428-442.
    40. Wilfred Amaldoss & Chuan He, 2018. "Reference-Dependent Utility, Product Variety, and Price Competition," Management Science, INFORMS, vol. 64(9), pages 4302-4316, September.
    41. Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July.
    42. Guofu Tan & Junjie Zhou, 2021. "The Effects of Competition and Entry in Multi-sided Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(2), pages 1002-1030.
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    More about this item

    Keywords

    Price discrimination; Network position; Market structure; Spectral decomposition;
    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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