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Bertrand Game Under Cost Function

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  • Partha Pratim Dube

Abstract

This paper analyses price competition in the case of monopoly and duopoly considering cost function under the minimum money expensed with demand probability and shows the existence of pure strategy Nash equilibrium of a Bertrand game. It also finds price strategies of two firms to earn maximum profits in a Bertrand game.

Suggested Citation

  • Partha Pratim Dube, 2018. "Bertrand Game Under Cost Function," Australian Economic Papers, Wiley Blackwell, vol. 57(4), pages 489-496, December.
    • Handle: RePEc:bla:ausecp:v:57:y:2018:i:4:p:489-496
    DOI: 10.1111/1467-8454.12133
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    References listed on IDEAS

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    1. Maarten Janssen & Eric Rasmusen, 2002. "Bertrand Competition Under Uncertainty," Journal of Industrial Economics, Wiley Blackwell, vol. 50(1), pages 11-21, March.
    2. Bagh, Adib, 2010. "Pure strategy equilibria in Bertrand games with discontinuous demand and asymmetric tie-breaking rules," Economics Letters, Elsevier, vol. 108(3), pages 277-279, September.
    3. 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.
    4. Sinha, Uday Bhanu, 2016. "Optimal value of a patent in an asymmetric Cournot duopoly market," Economic Modelling, Elsevier, vol. 57(C), pages 93-105.
    5. Vives, Xavier, 1986. "Rationing rules and Bertrand-Edgeworth equilibria in large markets," Economics Letters, Elsevier, vol. 21(2), pages 113-116.
    6. Qi Duan & Jie Ma, 2017. "A Note on Optimal Industrial Policy Towards Bertrand Homogeneous Duopoly," Australian Economic Papers, Wiley Blackwell, vol. 56(4), pages 292-303, December.
    7. Krishnendu Ghosh Dastidar, 2015. "Nature of Competition and New Technology Adoption," Pacific Economic Review, Wiley Blackwell, vol. 20(5), pages 696-732, December.
    8. 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. Wentao Yi & Chunqiao Tan, 2019. "Bertrand Game with Nash Bargaining Fairness Concern," Complexity, Hindawi, vol. 2019, pages 1-22, August.

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