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Bank oligopoly competition analysis using a differential equations model


  • Miltiadis Chalikias
  • Panagiota Lalou
  • Michalis Skordoulis
  • Perikles Papadopoulos
  • Stavros Fatouros


The purpose of this paper is to propose a model of differential equations that will be able to be applied in a bank oligopoly competition case. The differential equations model will be based on Lanchester's combat model, a well-known mathematical theory of war. Due to the fact that an oligopoly of four banks will be examined, the proposed model will consist of a 4x4 differential equations system. Many researchers have already concluded that mathematical theories of war models can be successfully applied to business cases as there are many similarities between the battle fields and the business competition. Since the proposed model's predictions concern the deposits evolution, this model can contribute in the analysis of the competition between the four major banks in Greece. The statistical analyses carried out confirm the model's good fit.

Suggested Citation

  • Miltiadis Chalikias & Panagiota Lalou & Michalis Skordoulis & Perikles Papadopoulos & Stavros Fatouros, 2020. "Bank oligopoly competition analysis using a differential equations model," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 38(1), pages 137-145.
  • Handle: RePEc:ids:ijores:v:38:y:2020:i:1:p:137-145

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    Cited by:

    1. Petros Kalantonis & Sotiria Schoina & Spyros Missiakoulis & Constantin Zopounidis, 2020. "The Impact of the Disclosed R & D Expenditure on the Value Relevance of the Accounting Information: Evidence from Greek Listed Firms," Mathematics, MDPI, vol. 8(5), pages 1-18, May.
    2. Evangelia Koutsogianni & Dimitrios Stavroulakis & Alexandros Sahinidis & Miltiadis Chalikias, 2021. "Liquid Modernity as an Analytical Framework: A Study of the Entrepreneurial Intention- Behavior Divergence," International Journal of Economics & Business Administration (IJEBA), International Journal of Economics & Business Administration (IJEBA), vol. 0(4), pages 194-211.


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