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Oligopolistic Markets with Leadership and Demand Functions Possibly Discontinuous

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  • L. Mallozzi

    (Università di Napoli Federico II)

  • J. Morgan

    (Università di Napoli Federico II)

Abstract

An oligopolistic market in which several firms supply a homogeneous product is considered. One particular firm (leader) sets its decision prior to the other firms (followers), which react by playing a competition in quantities. The aim of the paper is to investigate the existence of suitable strategies for the leader in the presence of aggregative coupled constraints in the case in which (i) the aggregate quantity reaction Q is single-valued and (ii) the aggregate quantity reaction Q is set-valued and the leader has some probabilistic information on the followers choice in their reaction set.

Suggested Citation

  • L. Mallozzi & J. Morgan, 2005. "Oligopolistic Markets with Leadership and Demand Functions Possibly Discontinuous," Journal of Optimization Theory and Applications, Springer, vol. 125(2), pages 393-407, May.
    • Handle: RePEc:spr:joptap:v:125:y:2005:i:2:d:10.1007_s10957-004-1856-6
    DOI: 10.1007/s10957-004-1856-6
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    References listed on IDEAS

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    1. Hanif D. Sherali & Allen L. Soyster & Frederic H. Murphy, 1983. "Stackelberg-Nash-Cournot Equilibria: Characterizations and Computations," Operations Research, INFORMS, vol. 31(2), pages 253-276, April.
    2. Jacqueline Morgan & Lina Mallozzi & Sjur D. Flåm, 2002. "A new look for Stackelberg-Cournot equilibria in oligopolistic markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(1), pages 183-188.
    3. Roberts, John & Sonnenschein, Hugo, 1976. "On the existence of Cournot equilbrium without concave profit functions," Journal of Economic Theory, Elsevier, vol. 13(1), pages 112-117, August.
    4. Corchon, Luis C., 1994. "Comparative statics for aggregative games the strong concavity case," Mathematical Social Sciences, Elsevier, vol. 28(3), pages 151-165, December.
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    Cited by:

    1. Attila Tasnádi, 2010. "Quantity-setting games with a dominant firm," Journal of Economics, Springer, vol. 99(3), pages 251-266, April.
    2. Lina Mallozzi & Roberta Messalli, 2017. "Multi-Leader Multi-Follower Model with Aggregative Uncertainty," Games, MDPI, vol. 8(3), pages 1-14, June.
    3. Lina Mallozzi & Panos M. Pardalos, 2022. "Entropic Regularization in Hierarchical Games," SN Operations Research Forum, Springer, vol. 3(1), pages 1-14, March.

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