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Use of Differential Equations in Firms Behavior in an Oligopoly Market

In: Advances in Cross-Section Data Methods in Applied Economic Research

Author

Listed:
  • Th. Monovasilis

    (University of Western Macedonia)

  • Z. Kalogiratou

    (University of Western Macedonia)

  • N. Tsounis

    (University of Western Macedonia)

  • G. Bertsatos

    (University of Western Macedonia
    University of Western Macedonia)

  • S. Moustakli

    (University of Western Macedonia
    University of Western Macedonia)

Abstract

Computational biologyMonovasilis, Th. models of the Volterra–Lotka family, known as competingKalogiratou, Z. species models, are used for modeling an oligopoly market. More specifically, a duopoly market is considered. Equilibrium of theTsounis, N. two companies is derived under different assumptionsBertsatos, G. about sectoral demand and cost functions. More specifically, at first, linear demand functions areMoustakli, S. considered, and then two cases of isoelastic demand function are used.

Suggested Citation

  • Th. Monovasilis & Z. Kalogiratou & N. Tsounis & G. Bertsatos & S. Moustakli, 2020. "Use of Differential Equations in Firms Behavior in an Oligopoly Market," Springer Proceedings in Business and Economics, in: Nicholas Tsounis & Aspasia Vlachvei (ed.), Advances in Cross-Section Data Methods in Applied Economic Research, chapter 0, pages 627-634, Springer.
  • Handle: RePEc:spr:prbchp:978-3-030-38253-7_41
    DOI: 10.1007/978-3-030-38253-7_41
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    Keywords

    Differential equations; Oligopoly;

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