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The Principle of Minimum Differentiation Revisited: Cournot versus Bertrand

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Book cover Market Evolution

Part of the book series: Studies in Industrial Organization ((SIOR,volume 20))

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Abstract

Hotelling was the first to suggest that the competition between oligopolistic sellers would result in consumers being offered products with an excessive sameness. In this chapter we extend his analysis to a case in which demand is elastic and firms compete in quantities. We find that firms are indeed encouraged to adopt excessively agglomerated locations (in some welfare sense). We also find, perhaps contrary to intuition, that some of the non-existence problems that are endemic to cases in which firms choose prices and locations also extend to cases in which they choose quantities and locations. The desire to control the market centre — the principle of minimum differentiation — is self-defeating. This appears to be primarily a result of denying firm the power to price discriminate between consumer locations. Where equilibria can be identified, we show that quantity competition leads to greater product concentration, lower output, higher profits and lower consumer welfare than does price competition.

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References

  • al-Nowaihi, A. and Norman, G. (1992) ‘Spatial Competition by Quantity-Setting Firms: A Comparison of Simultaneous and Two-Stage Quantity-Location Games’, University of Leicester, Discussion Paper in Economics 92/18.

    Google Scholar 

  • Anderson, S.P. (1986) ‘Equilibrium Existence in the Circle Model of Product Differentiation’, in: G. Norman (ed.), Spatial Pricing and Differentiated Markets, London Papers on Regional Science, 16, London: Pion.

    Google Scholar 

  • Anderson, S.P. (1988) ‘Equilibrium Existence in the Linear Model of Spatial Competition’, Economica 55, 479–492.

    Article  Google Scholar 

  • Cheng, L. (1985) ‘Comparing Bertrand and Cournot Equilibria: A Geometric Approach’, RAND Journal of Economics 16, 146–151.

    Article  Google Scholar 

  • d’Aspremont, C., Gabszewicz, J. and Thisse, J.-F. (1979) ‘On Hotelling’s “Stability in Competition”’, Econometrica 47, 1145–1150.

    Article  Google Scholar 

  • Eaton, B.C. and Lipsey, R.G. (1975) ‘The Principle of Minimum Differentiation Reconsidered: Some New Developments in the Theory of Spatial Competition’, Review of Economic Studies 42, 2749.

    Article  Google Scholar 

  • Eaton, B.C. and Lipsey, R.G. (1978) ‘Freedom of Entry and the Existence of Pure Profits’, Economic Journal 88, 455–469.

    Article  Google Scholar 

  • Friedman, J. and Thisse, J.-F. (1991) ‘Partial Collusion Yields Minimum Product Differentiation’, University of North Carolina, Unpublished manuscript.

    Google Scholar 

  • Greenhut, M.L. and Norman, G. (1992) ‘Conjectural Variations and Location Theory’, Journal of Economic Surveys (forthcoming).

    Google Scholar 

  • Hamilton, J.H., Thisse, J.-F. and Weskamp, A. (1989) ‘Spatial Discrimination: Bertrand vs. Cournot in a Model of Location Choice’, Regional Science and Urban Economics 19, 87–102.

    Article  Google Scholar 

  • Hotelling, H. (1929) ‘Stability in Competition’, Economic Journal 39, 41–57.

    Article  Google Scholar 

  • Kreps, D. and Scheinkman, J. (1983) ‘Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes’, Bell Journal of Economics 14, 326–337.

    Article  Google Scholar 

  • Lerner, A.P. and Singer, H.W. (1937) ‘Some Notes on Duopoly and Spatial Competition’, Journal of Political Economy 45, 145–186.

    Article  Google Scholar 

  • MacLeod, W.B. (1985) ‘On the Non-Existence of Equilibria in Differentiated Product Models’, Regional Science and Urban Economics 15, 245–262.

    Article  Google Scholar 

  • Smithies, A. (1941) ‘Optimum Location in Spatial Competition’, Journal of Political Economy 49, 423–439.

    Article  Google Scholar 

  • Vives, X. (1985) ‘On the Efficiency of Cournot and Bertrand Equilibria with Product Differentiation, RAND Journal of Economics 15, 546–554.

    Google Scholar 

  • Vives, X. (1986) ‘Commitment, Flexibility and Market Outcomes’, International Journal of Industrial Organization 4, 217–230.

    Article  Google Scholar 

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© 1995 Springer Science+Business Media Dordrecht

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Al-Nowaihi, A., Norman, G. (1995). The Principle of Minimum Differentiation Revisited: Cournot versus Bertrand. In: van Witteloostuijn, A. (eds) Market Evolution. Studies in Industrial Organization, vol 20. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8428-9_7

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  • DOI: https://doi.org/10.1007/978-94-015-8428-9_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4523-2

  • Online ISBN: 978-94-015-8428-9

  • eBook Packages: Springer Book Archive

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