IDEAS home Printed from https://ideas.repec.org/a/wly/soecon/v80y2014i4p948-967.html
   My bibliography  Save this article

A Psychological Reexamination of the Bertrand Paradox

Author

Listed:
  • Enrique Fatas
  • Ernan Haruvy
  • Antonio J. Morales

Abstract

The Bertrand paradox describes a situation in which two competing firms reach an outcome where both price at marginal cost. In laboratory experiments, this equilibrium is not generally observed. Existing empirical works on Bertrand competition have found evidence for boundedly rational models. We find that such models are useful in organizing behavior in early stages of the game, but less so in later stages. We show that a new model, coarse grid Nash equilibrium, based on the assumption that subjects discretize the strategy space, explains the data better.

Suggested Citation

  • Enrique Fatas & Ernan Haruvy & Antonio J. Morales, 2014. "A Psychological Reexamination of the Bertrand Paradox," Southern Economic Journal, John Wiley & Sons, vol. 80(4), pages 948-967, April.
  • Handle: RePEc:wly:soecon:v:80:y:2014:i:4:p:948-967
    DOI: 10.4284/0038-4038-2012.264
    as

    Download full text from publisher

    File URL: https://doi.org/10.4284/0038-4038-2012.264
    Download Restriction: no

    File URL: https://libkey.io/10.4284/0038-4038-2012.264?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Apesteguia, Jose & Huck, Steffen & Oechssler, Jorg, 2007. "Imitation--theory and experimental evidence," Journal of Economic Theory, Elsevier, vol. 136(1), pages 217-235, September.
    2. Isaac, R. Mark & Salmon, Timothy C. & Zillante, Arthur, 2007. "A theory of jump bidding in ascending auctions," Journal of Economic Behavior & Organization, Elsevier, vol. 62(1), pages 144-164, January.
    3. Victor Niederhoffer, 1965. "A New Look at Clustering of Stock Prices," The Journal of Business, University of Chicago Press, vol. 39, pages 309-309.
    4. Dastidar, Krishnendu Ghosh, 1995. "On the Existence of Pure Strategy Bertrand Equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 19-32, January.
    5. Dufwenberg, Martin & Gneezy, Uri, 2000. "Price competition and market concentration: an experimental study," International Journal of Industrial Organization, Elsevier, vol. 18(1), pages 7-22, January.
    6. Jehiel, Philippe, 2005. "Analogy-based expectation equilibrium," Journal of Economic Theory, Elsevier, vol. 123(2), pages 81-104, August.
    7. Robert I. Webb & Jason Mitchell, 2001. "Clustering and psychological barriers: the importance of numbers," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 21(5), pages 395-428, May.
    8. Sonnemans, Joep, 2006. "Price clustering and natural resistance points in the Dutch stock market: A natural experiment," European Economic Review, Elsevier, vol. 50(8), pages 1937-1950, November.
    9. Michael R. Baye & John Morgan, 2004. "Price Dispersion in the Lab and on the Internet: Theory and Evidence," RAND Journal of Economics, The RAND Corporation, vol. 35(3), pages 448-466, Autumn.
    10. Abbink, Klaus & Brandts, Jordi, 2008. "24. Pricing in Bertrand competition with increasing marginal costs," Games and Economic Behavior, Elsevier, vol. 63(1), pages 1-31, May.
    11. Apesteguia, Jose & Huck, Steffen & Oechssler, Jörg & Weidenholzer, Simon, 2010. "Imitation and the evolution of Walrasian behavior: Theoretically fragile but behaviorally robust," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1603-1617, September.
    12. Uri Gneezy, 2005. "Step-Level Reasoning and Bidding in Auctions," Management Science, INFORMS, vol. 51(11), pages 1633-1642, November.
    13. Maarten Janssen & Eric Rasmusen, 2002. "Bertrand Competition Under Uncertainty," Journal of Industrial Economics, Wiley Blackwell, vol. 50(1), pages 11-21, March.
    14. Argenton, Cédric & Müller, Wieland, 2012. "Collusion in experimental Bertrand duopolies with convex costs: The role of cost asymmetry," International Journal of Industrial Organization, Elsevier, vol. 30(6), pages 508-517.
    15. Harris, Lawrence, 1991. "Stock Price Clustering and Discreteness," The Review of Financial Studies, Society for Financial Studies, vol. 4(3), pages 389-415.
    16. Stahl, Dale II & Wilson, Paul W., 1994. "Experimental evidence on players' models of other players," Journal of Economic Behavior & Organization, Elsevier, vol. 25(3), pages 309-327, December.
    17. Neugebauer, Tibor & Selten, Reinhard, 2006. "Individual behavior of first-price auctions: The importance of information feedback in computerized experimental markets," Games and Economic Behavior, Elsevier, vol. 54(1), pages 183-204, January.
    18. 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.
    19. Aslı Aşçıoğlu & Carole Comerton‐Forde & Thomas H. McInish, 2007. "Price Clustering on the Tokyo Stock Exchange," The Financial Review, Eastern Finance Association, vol. 42(2), pages 289-301, May.
    20. Victor Niederhoffer, 1965. "Clustering of Stock Prices," Operations Research, INFORMS, vol. 13(2), pages 258-265, April.
    21. Schindler, Robert M & Kirby, Patrick N, 1997. "Patterns of Rightmost Digits Used in Advertised Prices: Implications for Nine-Ending Effects," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 24(2), pages 192-201, September.
    22. Fatas, Enrique & Morales, Antonio J., 2013. "Step thinking and costly coordination," Economics Letters, Elsevier, vol. 120(2), pages 181-183.
    23. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn.
    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. Antonio J. Morales & Javier Rodero-Cosano, 2023. "Forward induction and market entry with an endogenous outside option," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(2), pages 365-383, August.
    2. Jiménez-Jiménez, Francisca & Rodero-Cosano, Javier, 2023. "Conditioning competitive behaviour in experimental Bertrand markets through contextual frames," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 103(C).
    3. Ding, Shasha & Sun, Hao & Sun, Panfei & Han, Weibin, 2022. "Dynamic outcome of coopetition duopoly with implicit collusion," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    4. Karine Brisset & Francois Cochard & Eve-Angeline Lambert, 2023. "Is Amnesty Plus More Successful in Fighting Multimarket Cartels? An Exploratory Analysis," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 63(2), pages 211-237, September.

    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. Blavatskyy, Pavlo, 2018. "Oligopolistic price competition with a continuous demand," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 123-131.
    2. Jan Potters & Sigrid Suetens, 2013. "Oligopoly Experiments In The Current Millennium," Journal of Economic Surveys, Wiley Blackwell, vol. 27(3), pages 439-460, July.
    3. Donglian Ma & Hisashi Tanizaki, 2022. "Intraday patterns of price clustering in Bitcoin," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 8(1), pages 1-25, December.
    4. Jacobs, Martin & Requate, Till, 2016. "Bertrand-Edgeworth markets with increasing marginal costs and voluntary trading: Experimental evidence," Economics Working Papers 2016-01, Christian-Albrechts-University of Kiel, Department of Economics.
    5. Bill M. Cai & Charlie X. Cai & Kevin Keasey, 2007. "Influence of cultural factors on price clustering and price resistance in China's stock markets," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 47(4), pages 623-641, December.
    6. Robert Brooks & Edwyna Harris & Yovina Joymungul, 2013. "Price clustering in Australian water markets," Applied Economics, Taylor & Francis Journals, vol. 45(6), pages 677-685, February.
    7. Narayan, Paresh Kumar & Smyth, Russell, 2013. "Has political instability contributed to price clustering on Fiji's stock market?," Journal of Asian Economics, Elsevier, vol. 28(C), pages 125-130.
    8. Li, Xin & Li, Shenghong & Xu, Chong, 2020. "Price clustering in Bitcoin market—An extension," Finance Research Letters, Elsevier, vol. 32(C).
    9. Subhasish Dugar & Arnab Mitra, 2016. "Bertrand Competition With Asymmetric Marginal Costs," Economic Inquiry, Western Economic Association International, vol. 54(3), pages 1631-1647, July.
    10. Jörg Rieger & Kirsten Rüchardt & Bodo Vogt, 2011. "Comparing High Frequency Data of Stocks that are Traded Simultaneously in the US and Germany: Simulated Versus Empirical Data," Eurasian Economic Review, Springer;Eurasia Business and Economics Society, vol. 1(2), pages 126-142, December.
    11. Gunther Capelle-Blancard & Mo Chaudhury, 2007. "Price clustering in the CAC 40 index options market," Post-Print halshs-00265668, HAL.
    12. Berk, Ales S. & Cummins, Mark & Dowling, Michael & Lucey, Brian M., 2017. "Psychological price barriers in frontier equities," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 49(C), pages 1-14.
    13. Palao, Fernando & Pardo, Angel, 2012. "Assessing price clustering in European Carbon Markets," Applied Energy, Elsevier, vol. 92(C), pages 51-56.
    14. Brown, Alasdair & Yang, Fuyu, 2016. "Limited cognition and clustered asset prices: Evidence from betting markets," Journal of Financial Markets, Elsevier, vol. 29(C), pages 27-46.
    15. Tigran Melkonyan & Hossam Zeitoun & Nick Chater, 2018. "Collusion in Bertrand vs. Cournot Competition: A Virtual Bargaining Approach," Management Science, INFORMS, vol. 64(12), pages 5599-5610, December.
    16. Cummins, Mark & Dowling, Michael & Lucey, Brian M., 2015. "Behavioral influences in non-ferrous metals prices," Resources Policy, Elsevier, vol. 45(C), pages 9-22.
    17. Daniel Cracau & Benjamin Franz, 2012. "An experimental study of mixed strategy equilibria in simultaneous price-quantity games," FEMM Working Papers 120017, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    18. Vladim'ir Hol'y & Petra Tomanov'a, 2021. "Modeling Price Clustering in High-Frequency Prices," Papers 2102.12112, arXiv.org, revised Mar 2021.
    19. Englmaier, Florian & Schmöller, Arno, 2010. "Determinants and Effects of Reserve Prices in Hattrick Auctions," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 326, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    20. Das, Sougata & Kadapakkam, Palani-Rajan, 2020. "Machine over Mind? Stock price clustering in the era of algorithmic trading," The North American Journal of Economics and Finance, Elsevier, vol. 51(C).

    More about this item

    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:wly:soecon:v:80:y:2014:i:4:p:948-967. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)2325-8012 .

    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.