Have a personal or library account? Click to login
Stability properties of a Cournot-type oligopoly model with time delay Cover
Open Access
|Sep 2023

References

  1. H. N. Agiza, A. A. Elsadany, Nonlinear dynamics in the Cournot duopoly game with heterogeneous players, Physica A: Statistical Mechanics and its Applications 320 (2003), 512–524.
  2. H. N. Agiza, A. A. Elsadany, Chaotic dynamics in nonlinear duopoly game with heterogeneous players, Applied Mathematics and Computation 149 (2004), 843–860.
  3. J. Andaluz, A. A. Elsadany, G. Jarne, Dynamic Cournot oligopoly game based on general isoelastic demand, Nonlinear Dynamics 99 (2020), 1053–1063.
  4. S. S. Askar, M. F. El-Wakeel, M.A. Alrodaini, Exploration of complex dynamics for Cournot oligopoly game with di erentiated products, Complexity 2018 (2018).
  5. S. S. Askar, A. A, Elsadany, Nonlinear Dynamics of Cournot Duopoly Game: When One Firm Considers Social Welfare, Discrete Dynamics in Nature and Society 2021 (2021).
  6. J. S. Cánovas, On the delayed Cournot–Theocharis oligopoly model under adaptive expectations, Communications in Nonlinear Science and Numerical Simulation 117 (2023), 106981.
  7. S. S. Cheng, Y.Z Lin, Exact stability regions for linear di erence equations with three parameters, Applied Mathematics E-Notes 6 (2006), 49–57.
  8. N. Chrysanthopoulos, G. P. Papavassilopoulos, Adaptive rules for discrete-time Cournot games of high competition level markets, Operational Research 21 (2021), 2879–2906.
  9. L. C. Culda, E. Kaslik, Eva, M. Neamt¸u, A dynamic Cournot mixed oligopoly model with time delay for competitors, Carpathian Journal of Mathematics 38 (3) (2022), 681–690.
  10. T. Dubiel-Teleszynski, Nonlinear dynamics in a heterogeneous duopoly game with adjusting players and diseconomies of scale, Communications in Nonlinear Science and Numerical Simulation 16 (1) (2011), 296–308.
  11. T.D. Howroyd, A. M. Russell, Cournot oligopoly models with time delays, Journal of Mathematical Economics 13 (2) (1984), 97–103.
  12. E. Kaslik, Stability results for a class of di erence systems with delay, Advances in Di erence Equations 2009 (2010), 1–13.
  13. M. Kopel, Simple and complex adjustment dynamics in Cournot duopoly models, Chaos, Solitons & Fractals 7 (1996), 2031–2048.
  14. S. A. Kuruklis, The asymptotic stability of xn+1axn+bxnk = 0, Journal of Mathematical Analysis and Applications 188 (3) (1994), 719–731.
  15. A. Matsumoto, F. Szidarovszky, Delay dynamics of a Cournot game with heterogeneous duopolies, Applied Mathematics and Computation 269 (2015), 699–713.
  16. T. Matsumura, Toshihiro, O. Kanda, Mixed oligopoly at free entry markets, Journal of Economics 84 (2005), 27–48.
  17. V. S. Papanicolaou, On the asymptotic stability of a class of linear di erence equations, Mathematics Magazine 69 (1) (1996), 34–43.
  18. N. Pecora, M. Sodini, A heterogenous Cournot duopoly with delay dynamics: Hopf bifurcations and stability switching curves, Communications in Nonlinear Science and Numerical Simulation 58 (2018), 36–46.
  19. J.Poyago-Theotoky, Mixed oligopoly, subsidization and the order of firms’ moves: an irrelevance result, Economics Bulletin 12 (3) (2001), 1–5.
  20. R. D. Theocharis, On the Stability of the Cournot Solution on the Oligopoly Problem, The Review of Economic Studies 27 (1960).
  21. C. Wang, J. Pi, D. Zhou, W. Tang, G. Yang, Dynamics of n-person Cournot games with asymmetric information and heterogeneous expectations, Physica A: Statistical Mechanics and its Applications 619 (2023), 128691.
DOI: https://doi.org/10.2478/awutm-2023-0010 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293
Language: English
Page range: 121 - 129
Published on: Sep 21, 2023
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

© 2023 Loredana Camelia Culda, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.