Skip to main content

Bertrand Competition

  • Reference work entry
  • First Online:
The New Palgrave Dictionary of Economics
  • 113 Accesses

Abstract

This article presents the classic Bertrand model of oligopolistic price competition and shows how alternative assumptions on economic primitives – such as the structure of demand and cost functions, tie-breaking rules, and product differentiation – shape Nash equilibrium prices and profits. We also discuss the related Bertrand–Edgeworth model of price competition in which consumers may be rationed – either strategically or due to capacity constraints – and illustrate how alternative rationing rules influence equilibrium.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 6,499.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 8,499.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Bibliography

  • Baye, M.R., and J. Morgan. 1999. A folk theorem for one–shot Bertrand games. Economics Letters 65: 59–65.

    Article  Google Scholar 

  • Baye, M.R., and J. Morgan. 2002. Winner-take-all price competition. Economic Theory 19: 271–282.

    Article  Google Scholar 

  • Bertrand, J. 1883. (Review of) Théorie Mathématique de la Richesse Sociale par Léon Walras: Recherches sur les Principes Mathématiques de la Théorie des Richesses par Augustin Cournot. Journal des Savants 67: 499–508.

    Google Scholar 

  • Bulow, J., J. Geanakoplos, and P. Klemperer. 1985. Multimarket oligopoly: Strategic substitutes and complements. Journal of Political Economy 93: 488–511.

    Article  Google Scholar 

  • Cheng, L. 1985. Comparing Bertrand and Cournot equilibria: A geometric approach. RAND Journal of Economics 16: 146–152.

    Article  Google Scholar 

  • Cournot, A. 1838. Recherches sur les Principes Mathématiques de la Théorie des Richesses. Paris: Hachette.

    Google Scholar 

  • Dastidar, K.G. 1995. On the existence of pure strategy Bertrand equilibrium. Economic Theory 5: 19–32.

    Article  Google Scholar 

  • Davidson, C., and R. Deneckere. 1986. Long-run competition in capacity, short-run competition in price, and the Cournot model. RAND Journal of Economics 17: 404–415.

    Article  Google Scholar 

  • Deneckere, R., and D. Kovenock. 1996. Bertrand–Edgeworth duopoly with unit cost asymmetry. Economic Theory 8: 1–25.

    Article  Google Scholar 

  • Edgeworth, F.Y. 1925. The pure theory of monopoly. Papers Relating to Political Economy 1: 111–142.

    Google Scholar 

  • Häckner, J. 2000. A note on price and quantity competition in differentiated oligopolies. Journal of Economic Theory 93: 223–239.

    Article  Google Scholar 

  • Kreps, D.M., and J.A. Scheinkman. 1983. Quantity precommitment and Bertrand competition yield Cournot outcomes. Bell Journal of Economics 14: 326–337.

    Article  Google Scholar 

  • Milgrom, P., and J. Roberts. 1990. Rationalizability, learning, and equilibrium in games with strategic complementarities. Econometrica 58: 1255–1277.

    Article  Google Scholar 

  • Singh, N., and X. Vives. 1984. Price and quantity competition in a differentiated duopoly. RAND Journal of Economics 15: 546–554.

    Article  Google Scholar 

  • Vives, X. 1990. Nash equilibrium with strategic complementarities. Journal of Mathematical Economics 19: 305–321.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Copyright information

© 2018 Macmillan Publishers Ltd.

About this entry

Check for updates. Verify currency and authenticity via CrossMark

Cite this entry

Baye, M.R., Kovenock, D. (2018). Bertrand Competition. In: The New Palgrave Dictionary of Economics. Palgrave Macmillan, London. https://doi.org/10.1057/978-1-349-95189-5_2462

Download citation

Publish with us

Policies and ethics