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Bertrand competition with cost uncertainty

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  • Routledge, Robert R.

Abstract

We analyze the classical model of Bertrand competition in a homogeneous good market with constant marginal costs and uncertainty regarding rivals' costs. First, we show that there exists a mixed strategy Nash equilibrium under the conventional equal sharing rule. Second, we illustrate the result for the case of piecewise-affine market demand.

Suggested Citation

  • Routledge, Robert R., 2010. "Bertrand competition with cost uncertainty," Economics Letters, Elsevier, vol. 107(3), pages 356-359, June.
  • Handle: RePEc:eee:ecolet:v:107:y:2010:i:3:p:356-359
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    References listed on IDEAS

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    1. 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.
    2. Einy, Ezra & Haimanko, Ori & Moreno, Diego & Shitovitz, Benyamin, 2010. "On the existence of Bayesian Cournot equilibrium," Games and Economic Behavior, Elsevier, vol. 68(1), pages 77-94, January.
    3. Blume, Andreas, 2003. "Bertrand without fudge," Economics Letters, Elsevier, vol. 78(2), pages 167-168, February.
    4. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 1-26.
    5. Robert G. Hansen, 1988. "Auctions with Endogenous Quantity," RAND Journal of Economics, The RAND Corporation, vol. 19(1), pages 44-58, Spring.
    6. Philip J. Reny, 1999. "On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games," Econometrica, Econometric Society, vol. 67(5), pages 1029-1056, September.
    7. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, II: Applications," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 27-41.
    8. Hoernig, Steffen H., 2002. "Mixed Bertrand equilibria under decreasing returns to scale: an embarrassment of riches," Economics Letters, Elsevier, vol. 74(3), pages 359-362, February.
    9. Spulber, Daniel F, 1995. "Bertrand Competition When Rivals' Costs Are Unknown," Journal of Industrial Economics, Wiley Blackwell, vol. 43(1), pages 1-11, March.
    10. 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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    Cited by:

    1. Aditi Sengupta, 2013. "Incentive to Reduce Cost under Incomplete Information," Auburn Economics Working Paper Series auwp2013-10, Department of Economics, Auburn University.
    2. repec:hal:journl:halshs-00542486 is not listed on IDEAS
    3. Fedor Iskhakov & John Rust & Bertel Schjerning, 2013. "The Dynamics of Bertrand Price Competition with Cost-Reducing Investments," Discussion Papers 13-05, University of Copenhagen. Department of Economics.

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