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The impact of the number of sellers on quantal response equilibrium predictions in Bertrand oligopolies

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  • Ralph‐C Bayer
  • Chaohua Dong
  • Hang Wu
Abstract
This paper studies how increasing the number of sellers in a Bertrand oligopoly with homogenous goods affects the equilibrium price level predicted by logistic quantal response equilibrium (LQRE) and power‐function QRE (PQRE). We show that increasing the number of sellers reduces the average posted price in a PQRE, but can increase the average posted price in an LQRE. Our results indicate that the comparative‐static predictions of QRE (McKelvey & Palfrey, 1995, Games Econ Behav, 10, 6–38) are not necessarily robust to changes of the quantal response function.

Suggested Citation

  • Ralph‐C Bayer & Chaohua Dong & Hang Wu, 2019. "The impact of the number of sellers on quantal response equilibrium predictions in Bertrand oligopolies," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 28(4), pages 787-793, November.
    • Handle: RePEc:bla:jemstr:v:28:y:2019:i:4:p:787-793
    DOI: 10.1111/jems.12298
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    References listed on IDEAS

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    1. Chen, Yan & Khoroshilov, Yuri, 2003. "Learning under limited information," Games and Economic Behavior, Elsevier, vol. 44(1), pages 1-25, July.
    2. 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.
    3. Martin Dufwenberg & Uri Gneezy & Jacob Goeree & Rosemarie Nagel, 2007. "Price floors and competition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(1), pages 211-224, October.
    4. Varian, Hal R, 1980. "A Model of Sales," American Economic Review, American Economic Association, vol. 70(4), pages 651-659, September.
    5. Chen, Hsiao-Chi & Friedman, James W. & Thisse, Jacques-Francois, 1997. "Boundedly Rational Nash Equilibrium: A Probabilistic Choice Approach," Games and Economic Behavior, Elsevier, vol. 18(1), pages 32-54, January.
    6. Philip A. Haile & Ali Hortaçsu & Grigory Kosenok, 2008. "On the Empirical Content of Quantal Response Equilibrium," American Economic Review, American Economic Association, vol. 98(1), pages 180-200, March.
    7. Goeree, Jacob K. & Holt, Charles A. & Palfrey, Thomas R., 2002. "Quantal Response Equilibrium and Overbidding in Private-Value Auctions," Journal of Economic Theory, Elsevier, vol. 104(1), pages 247-272, May.
    8. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
    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. Jacob Goeree & Charles Holt & Thomas Palfrey, 2005. "Regular Quantal Response Equilibrium," Experimental Economics, Springer;Economic Science Association, vol. 8(4), pages 347-367, December.
    11. Martin Sefton & Abdullah Yavas & Eric Abrams, 2000. "An experimental comparison of two search models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 16(3), pages 735-749.
    12. Mark A. Satterthwaite, 1979. "Consumer Information, Equilibrium Industry Price, and the Number of Sellers," Bell Journal of Economics, The RAND Corporation, vol. 10(2), pages 483-502, Autumn.
    13. 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.
    14. Simon P. Anderson & Jacob K. Goeree & Charles A. Holt, 1998. "Rent Seeking with Bounded Rationality: An Analysis of the All-Pay Auction," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 225-250, Springer.
    15. Rosenthal, Robert W, 1980. "A Model in Which an Increase in the Number of Sellers Leads to a Higher Price," Econometrica, Econometric Society, vol. 48(6), pages 1575-1579, September.
    16. Bayer, Ralph-C & Ke, Changxia, 2018. "What causes rockets and feathers? An experimental investigation," Journal of Economic Behavior & Organization, Elsevier, vol. 153(C), pages 223-237.
    17. Oliver Gürtler & Christine Harbring, 2010. "Feedback in Tournaments under Commitment Problems: Experimental Evidence," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 19(3), pages 771-810, September.
    18. Todd R. Kaplan & David Wettstein, 2000. "The possibility of mixed-strategy equilibria with constant-returns-to-scale technology under Bertrand competition," Spanish Economic Review, Springer;Spanish Economic Association, vol. 2(1), pages 65-71.
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