IDEAS home Printed from https://ideas.repec.org/p/fem/femwpa/2008.28.html
   My bibliography  Save this paper

A Network Model of Price Dispersion

Author

Listed:
  • Giacomo Pasini

    (Ca' Foscari University in Venice)

  • Paolo Pin

    (Abdus Salam Internazional Centre for Theoretical Physics)

  • Simon Weidenholzer

    (Institut für Volkswirtschaftslehre, Universität Wien)

Abstract

We analyze a model of price competition ? la Bertrand in a network environment. Firms only have a limited information on the structure of network: they know the number of potential customers they can attract and the degree distribution of customers. This incomplete information framework stimulates the use of Bayesian-Nash equilibrium. We find that, if there are customers only linked to one firm, but not all of them are, then an equilibrium in randomized strategies fails to exist. Instead, we find a symmetric equilibrium in randomized strategies. Finally, we test our results on US gasoline data. We find empirical evidence consistent with firms playing random strategies.

Suggested Citation

  • Giacomo Pasini & Paolo Pin & Simon Weidenholzer, 2008. "A Network Model of Price Dispersion," Working Papers 2008.28, Fondazione Eni Enrico Mattei.
  • Handle: RePEc:fem:femwpa:2008.28
    as

    Download full text from publisher

    File URL: https://feem-media.s3.eu-central-1.amazonaws.com/wp-content/uploads/NDL2008-028.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Stahl, Dale O., 1996. "Oligopolistic pricing with heterogeneous consumer search," International Journal of Industrial Organization, Elsevier, vol. 14(2), pages 243-268.
    2. Matthijs R. Wildenbeest, 2011. "An empirical model of search with vertically differentiated products," RAND Journal of Economics, RAND Corporation, vol. 42(4), pages 729-757, December.
    3. Burdett, Ken & Smith, Eric, 2010. "Price distributions and competition," Economics Letters, Elsevier, vol. 106(3), pages 180-183, March.
    4. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    5. Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2010. "Network Games," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(1), pages 218-244.
    6. Michele Piccione & Ran Spiegler, 2012. "Price Competition Under Limited Comparability," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(1), pages 97-135.
    7. Blume, Lawrence E. & Easley, David & Kleinberg, Jon & Tardos, Éva, 2009. "Trading networks with price-setting agents," Games and Economic Behavior, Elsevier, vol. 67(1), pages 36-50, September.
    8. Michael R. Baye & John Morgan, 2001. "Information Gatekeepers on the Internet and the Competitiveness of Homogeneous Product Markets," American Economic Review, American Economic Association, vol. 91(3), pages 454-474, June.
    9. Andrea Galeotti, 2010. "Talking, Searching, And Pricing," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 51(4), pages 1159-1174, November.
    10. Barron, John M. & Taylor, Beck A. & Umbeck, John R., 2004. "Number of sellers, average prices, and price dispersion," International Journal of Industrial Organization, Elsevier, vol. 22(8-9), pages 1041-1066, November.
    11. Susan Athey, 2002. "Monotone Comparative Statics under Uncertainty," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(1), pages 187-223.
    12. Justin P. Johnson & David P. Myatt, 2006. "On the Simple Economics of Advertising, Marketing, and Product Design," American Economic Review, American Economic Association, vol. 96(3), pages 756-784, June.
    13. Shorrocks, A F, 1978. "The Measurement of Mobility," Econometrica, Econometric Society, vol. 46(5), pages 1013-1024, September.
    14. Steven Salop & Joseph Stiglitz, 1977. "Bargains and Ripoffs: A Model of Monopolistically Competitive Price Dispersion," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(3), pages 493-510.
    15. Salop, S & Stiglitz, J E, 1982. "The Theory of Sales: A Simple Model of Equilibrium Price Dispersion with Identical Agents," American Economic Review, American Economic Association, vol. 72(5), pages 1121-1130, December.
    16. Matthew O. Jackson & Leeat Yariv, 2007. "Diffusion of Behavior and Equilibrium Properties in Network Games," American Economic Review, American Economic Association, vol. 97(2), pages 92-98, May.
    17. Corominas-Bosch, Margarida, 2004. "Bargaining in a network of buyers and sellers," Journal of Economic Theory, Elsevier, vol. 115(1), pages 35-77, March.
    18. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-969, July.
    19. Michael R. Baye & John Morgan & Patrick Scholten, 2004. "Price Dispersion In The Small And In The Large: Evidence From An Internet Price Comparison Site," Journal of Industrial Economics, Wiley Blackwell, vol. 52(4), pages 463-496, December.
    20. Michael R. Baye & John Morgan & Patrick Scholten, 2006. "Information, Search, and Price Dispersion," Working Papers 2006-11, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy.
    21. Schluter, Christian, 1998. "Statistical inference with mobility indices," Economics Letters, Elsevier, vol. 59(2), pages 157-162, May.
    22. Rachel E. Kranton & Deborah F. Minehart, 2001. "A Theory of Buyer-Seller Networks," American Economic Review, American Economic Association, vol. 91(3), pages 485-508, June.
    23. Kuksov, Dmitri, 2006. "Search, common knowledge, and competition," Journal of Economic Theory, Elsevier, vol. 130(1), pages 95-108, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Aoyagi, Masaki, 2018. "Bertrand competition under network externalities," Journal of Economic Theory, Elsevier, vol. 178(C), pages 517-550.
    2. repec:hal:spmain:info:hdl:2441/jeo70lroq9p9bmeio80mpgg5h is not listed on IDEAS
    3. Johannes Johnen & David Ronayne, 2021. "The only Dance in Town: Unique Equilibrium in a Generalized Model of Price Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 69(3), pages 595-614, September.
    4. repec:spo:wpmain:info:hdl:2441/jeo70lroq9p9bmeio80mpgg5h is not listed on IDEAS
    5. Sneha Bakshi, 2020. "Limits of price competition: cost asymmetry and imperfect information," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(4), pages 913-932, December.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. repec:hal:spmain:info:hdl:2441/jeo70lroq9p9bmeio80mpgg5h is not listed on IDEAS
    2. Zakaria Babutsidze, 2017. "Duopolistic Price Competition with Captives," Metroeconomica, Wiley Blackwell, vol. 68(4), pages 903-926, November.
    3. repec:spo:wpmain:info:hdl:2441/jeo70lroq9p9bmeio80mpgg5h is not listed on IDEAS
    4. Nermuth, Manfred & Pasini, Giacomo & Pin, Paolo & Weidenholzer, Simon, 2013. "The informational divide," Games and Economic Behavior, Elsevier, vol. 78(C), pages 21-30.
    5. Donna, Javier D. & Schenone, Pablo & Veramendi, Gregory F., 2020. "Networks, frictions, and price dispersion," Games and Economic Behavior, Elsevier, vol. 124(C), pages 406-431.
    6. Bruce I. Carlin & Florian Ederer, 2019. "Search Fatigue," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 54(3), pages 485-508, May.
    7. Backus, Matthew R. & Podwol, Joseph Uri & Schneider, Henry S., 2014. "Search costs and equilibrium price dispersion in auction markets," European Economic Review, Elsevier, vol. 71(C), pages 173-192.
    8. Anania, Giovanni & Nisticò, Rosanna, 2014. "Price dispersion and seller heterogeneity in retail food markets," Food Policy, Elsevier, vol. 44(C), pages 190-201.
    9. Giovanni Anania & Rosanna Nisticò, 2011. "Price Dispersion, Search Costs And Consumers And Sellers Heterogeneity In Retail Food Markets," Working Papers 201105, Università della Calabria, Dipartimento di Economia, Statistica e Finanza "Giovanni Anania" - DESF.
    10. Cason, Timothy N. & Datta, Shakun, 2006. "An experimental study of price dispersion in an optimal search model with advertising," International Journal of Industrial Organization, Elsevier, vol. 24(3), pages 639-665, May.
    11. Ya-Ling Chiu & Jiangze Du & Jying-Nan Wang, 2022. "The Effects of Price Dispersion on Sales in the Automobile Industry: A Dynamic Panel Analysis," SAGE Open, , vol. 12(3), pages 21582440221, August.
    12. Hämäläinen, Saara, 2018. "Competitive search obfuscation," Journal of Economic Dynamics and Control, Elsevier, vol. 97(C), pages 38-63.
    13. Rauh, Michael T., 2009. "Strategic complementarities and search market equilibrium," Games and Economic Behavior, Elsevier, vol. 66(2), pages 959-978, July.
    14. David Ronayne, 2021. "Price Comparison Websites," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(3), pages 1081-1110, August.
    15. Avi Weiss & Joshua Sherman, 2014. "An Empirical Analysis of Search Costs and Price Dispersion," Working Papers 2014-06, Bar-Ilan University, Department of Economics.
    16. Kenneth Gillingham, Hao Deng, Ryan Wiser, Naim Darghouth, Gregory Nemet, Galen Barbose, Varun Rai, and Changgui Dong, 2016. "Deconstructing Solar Photovoltaic Pricing," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3).
    17. Bruce Carlin & Arna Olafsson & Michaela Pagel, 2017. "FinTech Adoption Across Generations: Financial Fitness in the Information Age," NBER Working Papers 23798, National Bureau of Economic Research, Inc.
    18. Debashrita Mohapatra & Debi Prasad Mohapatra & Ram Sewak Dubey, 2023. "Price dispersion across online platforms: Evidence from hotel room prices in London (UK)," Papers 2310.12341, arXiv.org.
    19. Obradovits, Martin, 2017. "Search and segregation," International Journal of Industrial Organization, Elsevier, vol. 55(C), pages 137-165.
    20. Glenn Ellison & Alexander Wolitzky, 2012. "A search cost model of obfuscation," RAND Journal of Economics, RAND Corporation, vol. 43(3), pages 417-441, September.
    21. Mark Armstrong & John Vickers, 2022. "Patterns of Competitive Interaction," Econometrica, Econometric Society, vol. 90(1), pages 153-191, January.
    22. Dieter Pennerstorfer & Philipp Schmidt‐Dengler & Nicolas Schutz & Christoph Weiss & Biliana Yontcheva, 2020. "Information And Price Dispersion: Theory And Evidence," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(2), pages 871-899, May.

    More about this item

    Keywords

    Bertrand Competition; Bayesian- Nash Equilibrium; Mobility Index;
    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
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:fem:femwpa:2008.28. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Alberto Prina Cerai (email available below). General contact details of provider: https://edirc.repec.org/data/feemmit.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.