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Bertrand competition with cost uncertainty

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  • Routledge, Robert R.
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    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.

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    Bibliographic Info

    Article provided by Elsevier in its journal Economics Letters.

    Volume (Year): 107 (2010)
    Issue (Month): 3 (June)
    Pages: 356-359

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    Handle: RePEc:eee:ecolet:v:107:y:2010:i:3:p:356-359

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    Web page: http://www.elsevier.com/locate/ecolet

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    Keywords: Bertrand competition Cost uncertainty Mixed strategies;

    References

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    1. Blume, Andreas, 2003. "Bertrand without fudge," Economics Letters, Elsevier, vol. 78(2), pages 167-168, February.
    2. Ezra Einy & Ori Haimanko & Diego Moreno & Benyamin Shitovitz, 2007. "On the Existence of Bayesian Cournot Equilibrium," Working Papers 0715, Ben-Gurion University of the Negev, Department of Economics.
    3. Robert G. Hansen, 1988. "Auctions with Endogenous Quantity," RAND Journal of Economics, The RAND Corporation, vol. 19(1), pages 44-58, Spring.
    4. Spulber, Daniel F, 1995. "Bertrand Competition When Rivals' Costs Are Unknown," Journal of Industrial Economics, Wiley Blackwell, vol. 43(1), pages 1-11, March.
    5. 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.
    6. Dasgupta, Partha & Maskin, Eric, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," Review of Economic Studies, Wiley Blackwell, vol. 53(1), pages 1-26, January.
    7. 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.
    8. Dasgupta, Partha & Maskin, Eric, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, II: Applications," Review of Economic Studies, Wiley Blackwell, vol. 53(1), pages 27-41, January.
    9. 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, vol. 2(1), pages 65-71.
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    Cited by:
    1. 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.
    2. Aditi Sengupta, 2013. "Incentive to Reduce Cost under Incomplete Information," Auburn Economics Working Paper Series auwp2013-10, Department of Economics, Auburn University.

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