Decisions in Economics and Finance

, Volume 41, Issue 2, pp 259–275 | Cite as

A continuous-time heterogeneous duopoly model with delays

  • Serena Brianzoni
  • Giovanni Campisi
  • Luca Guerrini


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.


Heterogeneous players Duopoly model Time delay 



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


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© Associazione per la Matematica Applicata alle Scienze Economiche e Sociali (AMASES) 2018

Authors and Affiliations

  1. 1.Department of ManagementPolytechnic University of MarcheAnconaItaly
  2. 2.Department of Agricultural, Food and Environmental SciencesPolytechnic University of MarcheAnconaItaly

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