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Oligopoly dynamics with isoelastic demand: The joint effects of market saturation and strategic delegation

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  • Cerboni Baiardi, Lorenzo
  • Lamantia, Fabio

Abstract

In the framework of a Cournot oligopoly game with isoelastic demand, we examine the simultaneous presence of both market saturation and strategic delegation. Although these two (realistic) aspects have already been considered in the literature each on its own, we aim at deepening their joint interactions when matched together in oligopolistic competition. In addition, we admit the possibility that delegation activities actuated by firms to weaken or even exclude competitors from the market may cease if undertaken by successful players, which thus regain their pure profit maximizing behavior. In this context, a limited market saturation level (positively) influences the effectiveness of delegation strategies and, at the same time, can sustain equilibrium configurations for the winning (monopolistic) firm even under the isoelastic market structure. Through local stability analysis, we show how the combination of strategic delegation with market saturation contributes to determine the equilibrium number of active players and the local asymptotic stability of the (economically relevant) equilibrium. Moreover, non-equilibrium dynamics reveal the presence of periodic cycles along which a firm is active while its competitors alternatively exits and enters the market. We show why these interesting scenarios are due to the joint interplay between strategic delegation and market saturation.

Suggested Citation

  • Cerboni Baiardi, Lorenzo & Lamantia, Fabio, 2022. "Oligopoly dynamics with isoelastic demand: The joint effects of market saturation and strategic delegation," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    • Handle: RePEc:eee:chsofr:v:158:y:2022:i:c:s0960077922002673
    DOI: 10.1016/j.chaos.2022.112057
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    1. Ariel Pakes & Michael Ostrovsky & Steven Berry, 2007. "Simple estimators for the parameters of discrete dynamic games (with entry/exit examples)," RAND Journal of Economics, RAND Corporation, vol. 38(2), pages 373-399, June.
    2. Fershtman, Chaim & Judd, Kenneth L, 1987. "Equilibrium Incentives in Oligopoly," American Economic Review, American Economic Association, vol. 77(5), pages 927-940, December.
    3. Steven D. Sklivas, 1987. "The Strategic Choice of Managerial Incentives," RAND Journal of Economics, The RAND Corporation, vol. 18(3), pages 452-458, Autumn.
    4. Domenico De Giovanni & Fabio Lamantia, 2017. "Evolutionary dynamics of a duopoly game with strategic delegation and isoelastic demand," Journal of Evolutionary Economics, Springer, vol. 27(5), pages 877-903, November.
    5. Amir, Rabah & Lambson, Val E., 2003. "Entry, exit, and imperfect competition in the long run," Journal of Economic Theory, Elsevier, vol. 110(1), pages 191-203, May.
    6. Puu, T., 1998. "The chaotic duopolists revisited," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 385-394, January.
    7. Yao, Z. & Leung, Stephen C.H. & Lai, K.K., 2008. "Manufacturer's revenue-sharing contract and retail competition," European Journal of Operational Research, Elsevier, vol. 186(2), pages 637-651, April.
    8. Szidarovszky, Ferenc & Hu, Zhaoxia & Zhao, Jijun, 2006. "Dynamic oligopolies with market saturation," Chaos, Solitons & Fractals, Elsevier, vol. 29(3), pages 723-738.
    9. Tulli, Vanda & Weinrich, Gerd, 2007. "A solution to the monopolist's problem when demand is iso-inelastic," Research in Economics, Elsevier, vol. 61(1), pages 37-43, March.
    10. Victor Aguirregabiria & Pedro Mira, 2007. "Sequential Estimation of Dynamic Discrete Games," Econometrica, Econometric Society, vol. 75(1), pages 1-53, January.
    11. Vickers, John, 1985. "Delegation and the Theory of the Firm," Economic Journal, Royal Economic Society, vol. 95(380a), pages 138-147, Supplemen.
    12. Hau Lee & Seungjin Whang, 2002. "The Impact of the Secondary Market on the Supply Chain," Management Science, INFORMS, vol. 48(6), pages 719-731, June.
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