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On Welfare under Cournot and Bertrand Competition in Differentiated Oligopolies

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Abstract

Hackner (2000) shows that in a differentiated oligopoly with more than two firms , prices may be higher under Bertrand competition than under Cournot competition, implying that the classicalresult of Singh and Vives (1984) that Bertrand prices are always lower than Cournot prices is sensitive to the duopoly assumption. Hackner (2000), however, leaves unanswered the important question of whether welfare may be lower under price competition. This note shows that in Hackners model both consumer surplus and total surplus are higher under price competition than under quantity competition regardless of whether goods are substitutes or complements.

Suggested Citation

  • X. Henry Wang & Judy Hsu, 2005. "On Welfare under Cournot and Bertrand Competition in Differentiated Oligopolies," Working Papers 0514, Department of Economics, University of Missouri.
  • Handle: RePEc:umc:wpaper:0514
    Note: Length: 10 pgs.
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    File URL: https://economics.missouri.edu/working-papers/2005/wp0514_wang.pdf
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Hackner, Jonas, 2000. "A Note on Price and Quantity Competition in Differentiated Oligopolies," Journal of Economic Theory, Elsevier, vol. 93(2), pages 233-239, August.
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    Cited by:

    1. James A. Brander & Barbara J. Spencer, 2015. "Endogenous Horizontal Product Differentiation under Bertrand and Cournot Competition: Revisiting the Bertrand Paradox," NBER Working Papers 20966, National Bureau of Economic Research, Inc.
    2. Adler, Nicole & Hanany, Eran, 2016. "Regulating inter-firm agreements: The case of airline codesharing in parallel networks," Transportation Research Part B: Methodological, Elsevier, vol. 84(C), pages 31-54.
    3. Koichi Kagitani & Takao Ohkawa & Makoto Okamura, 2016. "Does the Excess Entry Theorem Hold in a Differentiated Oligopoly?," Manchester School, University of Manchester, vol. 84(3), pages 340-362, June.
    4. Jens Jurgan, 2009. "Cost Variations in a Differentiated Good Oligopoly," Working Papers 069, Bavarian Graduate Program in Economics (BGPE).
    5. repec:bla:manchs:v:85:y:2017:i:3:p:282-294 is not listed on IDEAS
    6. Henry L. Friedman & John S. Hughes & Richard Saouma, 2016. "Implications of biased reporting: conservative and liberal accounting policies in oligopolies," Review of Accounting Studies, Springer, vol. 21(1), pages 251-279, March.
    7. Xing Gao & Weijun Zhong, 2016. "Economic incentives in security information sharing: the effects of market structures," Information Technology and Management, Springer, vol. 17(4), pages 361-377, December.
    8. repec:spr:epolin:v:44:y:2017:i:2:d:10.1007_s40812-016-0049-2 is not listed on IDEAS
    9. repec:eee:jetheo:v:169:y:2017:i:c:p:641-665 is not listed on IDEAS
    10. Ya-chin Wang & Leonard f.s. Wang, 2009. "Equivalence Of Competition Mode In A Vertically Differentiated Duopoly With Delegation," South African Journal of Economics, Economic Society of South Africa, vol. 77(4), pages 577-590, December.
    11. Ming Chang & Yan-Ching Ho, 2014. "Comparing Cournot and Bertrand equilibria in an asymmetric duopoly with product R&D," Journal of Economics, Springer, vol. 113(2), pages 133-174, October.
    12. Ming Chang, 2010. "An Asymmetric Oligopolist can Improve Welfare by Raising Price," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 36(1), pages 75-96, February.
    13. Amir, Rabah & Erickson, Philip & Jin, Jim, 2017. "On the microeconomic foundations of linear demand for differentiated products," Journal of Economic Theory, Elsevier, vol. 169(C), pages 641-665.
    14. Sanderson, Benjamin L & Coatney, Kalyn T & Parman, Bryon J & Tack, Jesse B, 2016. "A Theoretical Analysis of Multiproduct Mergers: Application in the Major Meat Sectors," 2016 Annual Meeting, July 31-August 2, 2016, Boston, Massachusetts 236158, Agricultural and Applied Economics Association.
    15. Jurgan, Jens, 2009. "Conjectural cost variations in a differentiated good oligopoly," W.E.P. - Würzburg Economic Papers 80, University of Würzburg, Chair for Monetary Policy and International Economics.
    16. Corchón, Luis C. & Zudenkova, Galina, 2009. "Computing welfare losses from data under imperfect competition with heterogeneous goods," International Journal of Industrial Organization, Elsevier, vol. 27(6), pages 646-654, November.
    17. Sebastian von Engelhardt, 2010. "Quality Competition or Quality Cooperation? License-Type and the Strategic Nature of Open Source vs. Closed Source Business Models," Jena Economic Research Papers 2010-034, Friedrich-Schiller-University Jena.
    18. Tondji, Jean-Baptiste, 2016. "Welfare Analysis of Cournot and Bertrand Competition With(out) Investment in R & D," MPRA Paper 75806, University Library of Munich, Germany, revised 24 Dec 2016.
    19. Wang, X. Henry & Zhao, Jingang, 2007. "Welfare reductions from small cost reductions in differentiated oligopoly," International Journal of Industrial Organization, Elsevier, vol. 25(1), pages 173-185, February.

    More about this item

    Keywords

    Bertrand; Cournot; Differentiated oligopoly; Welfare;

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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