A continuous-time heterogeneous duopoly model with delays


In this paper, the continuous-time version with delays of the model of Tramontana (Econ Model 27(1):350–357, 2010) is presented. The stability of the equilibrium point is discussed by analyzing the distribution of roots of associated characteristic equation. It is found that combining marginal costs with time delays gives rise to different economic scenarios, where stability switches may appear and Hopf bifurcations occur within certain range of parameters.

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The authors gratefully acknowledge two anonymous reviewers for comments and suggestions. The usual disclaimer applies.

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Correspondence to Giovanni Campisi.

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Brianzoni, S., Campisi, G. & Guerrini, L. A continuous-time heterogeneous duopoly model with delays. Decisions Econ Finan 41, 259–275 (2018). https://doi.org/10.1007/s10203-018-0227-y

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  • Heterogeneous players
  • Duopoly model
  • Time delay