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Nonlinear dynamics in the Cournot duopoly game with heterogeneous players

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Cited by:

  1. Ahmad Naimzada & Fabio Tramontana, 2011. "Double route to chaos in an heterogeneous triopoly game," Quaderni di Dipartimento 149, University of Pavia, Department of Economics and Quantitative Methods.
  2. Ding, Zhanwen & Wang, Qiao & Jiang, Shumin, 2014. "Analysis on the dynamics of a Cournot investment game with bounded rationality," Economic Modelling, Elsevier, vol. 39(C), pages 204-212.
  3. Ding, Zhanwen & Shi, Guiping, 2009. "Cooperation in a dynamical adjustment of duopoly game with incomplete information," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 989-993.
  4. Fanti, Luciano & Gori, Luca, 2013. "Efficient bargaining versus right to manage: A stability analysis in a Cournot duopoly with trade unions," Economic Modelling, Elsevier, vol. 30(C), pages 205-211.
  5. Fanti, Luciano, 2014. "The dynamics of a banking duopoly with capital regulations," Economic Modelling, Elsevier, vol. 37(C), pages 340-349.
  6. Xin, Baogui & Ma, Junhai & Gao, Qin, 2009. "The complexity of an investment competition dynamical model with imperfect information in a security market," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2425-2438.
  7. Nora Grisáková & Peter Štetka, 2022. "Cournot’s Oligopoly Equilibrium under Different Expectations and Differentiated Production," Games, MDPI, vol. 13(6), pages 1-17, December.
  8. Fanti, Luciano & Gori, Luca, 2011. "Stability analysis in a Cournot duopoly with managerial sales delegation and bounded rationality," MPRA Paper 33828, University Library of Munich, Germany.
  9. Villena, Marcelo J. & Araneda, Axel A., 2017. "Dynamics and stability in retail competition," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 134(C), pages 37-53.
  10. Luciano Fanti & Luca Gori, 2013. "Stability Analysis in a Bertrand Duopoly with Different Product Quality and Heterogeneous Expectations," Journal of Industry, Competition and Trade, Springer, vol. 13(4), pages 481-501, December.
  11. Fanti, Luciano & Gori, Luca, 2011. "Stability in a Cournot duopoly under asymmetric unionism," MPRA Paper 33694, University Library of Munich, Germany.
  12. Grau-Climent, Juan & Garcia-Perez, Luis & Alonso-Sanz, Ramon & Losada, Juan C., 2023. "Effect of players’ expectations and memory in a quantum Cournot game," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
  13. S. S. Askar & A. Al-khedhairi, 2019. "Analysis of a Four-Firm Competition Based on a Generalized Bounded Rationality and Different Mechanisms," Complexity, Hindawi, vol. 2019, pages 1-12, May.
  14. Alonso-Sanz, Ramón, 2019. "Simulation of the quantum Cournot duopoly game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
  15. Luciano Fanti, 2015. "Environmental Standards and Cournot Duopoly: A Stability Analysis," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 61(4), pages 577-593, August.
  16. Wu, Ruijia & Van Gorder, Robert A., 2018. "Nonlinear dynamics of discrete time multi-level leader–follower games," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 240-250.
  17. Luciano Fanti & Luca Gori, 2011. "The dynamics of a Bertrand duopoly with differentiated products and bounded rational firms revisited," Discussion Papers 2011/120, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
  18. Zhao, LiuWei & Du, Jianguo & Wang, QiWei, 2019. "Nonlinear analysis and chaos control of the complex dynamics of multi-market Cournot game with bounded rationality," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 162(C), pages 45-57.
  19. Ueda, Masahiko, 2019. "Effect of information asymmetry in Cournot duopoly game with bounded rationality," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
  20. S. S. Askar & A. Al-khedhairi, 2019. "Cournot Duopoly Games: Models and Investigations," Mathematics, MDPI, vol. 7(11), pages 1-15, November.
  21. Cerboni Baiardi, Lorenzo & Naimzada, Ahmad K., 2018. "An oligopoly model with best response and imitation rules," Applied Mathematics and Computation, Elsevier, vol. 336(C), pages 193-205.
  22. Fausto Cavalli & Ahmad Naimzada & Marina Pireddu, 2015. "Effects of Size, Composition, and Evolutionary Pressure in Heterogeneous Cournot Oligopolies with Best Response Decisional Mechanisms," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-17, May.
  23. Wang, Chun & Pi, Jinxiu & Zhou, Die & Tang, Wei & Yang, Guanghui, 2023. "Dynamics of n-person Cournot games with asymmetric information and heterogeneous expectations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 618(C).
  24. Lorenzo Cerboni Baiardi & Ahmad K. Naimzada, 2018. "An evolutionary model with best response and imitative rules," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 41(2), pages 313-333, November.
  25. Zhou, Die & Pi, Jinxiu & Yang, Guanghui & Yang, Hui, 2022. "Nonlinear dynamics of a heterogeneous quantum Commons’ tragedy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).
  26. Fanti, Luciano & Gori, Luca & Mammana, Cristiana & Michetti, Elisabetta, 2013. "The dynamics of a Bertrand duopoly with differentiated products: Synchronization, intermittency and global dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 52(C), pages 73-86.
  27. Yujing Yang & Wenzhe Tang, 2018. "Research on a 3D Predator-Prey Evolutionary System in Real Estate Market," Complexity, Hindawi, vol. 2018, pages 1-13, February.
  28. Lei Xie & Hongshuai Han, 2020. "Capacity Sharing and Capacity Investment of Environment-Friendly Manufacturing: Strategy Selection and Performance Analysis," IJERPH, MDPI, vol. 17(16), pages 1-20, August.
  29. Peng, Yu & Lu, Qian, 2015. "Complex dynamics analysis for a duopoly Stackelberg game model with bounded rationality," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 259-268.
  30. Li, Wen-na & Elsadany, A.A. & Zhou, Wei & Zhu, Yan-lan, 2021. "Global Analysis, Multi-stability and Synchronization in a Competition Model of Public Enterprises with Consumer Surplus," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
  31. Culda, Loredana Camelia & Kaslik, Eva & Neamţu, Mihaela & Sîrghi, Nicoleta, 2024. "Dynamics of a discrete-time mixed oligopoly Cournot-type model with three time delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 226(C), pages 524-539.
  32. Ciprian Rusescu & Mihai Daniel - Roman, 2021. "Dynamic Behaviour In A Bertrand Model With Bounded Rational Players," Annals - Economy Series, Constantin Brancusi University, Faculty of Economics, vol. 3, pages 45-55, June.
  33. S. S. Askar & Mona F. EL-Wakeel & M. A. Alrodaini, 2018. "Exploration of Complex Dynamics for Cournot Oligopoly Game with Differentiated Products," Complexity, Hindawi, vol. 2018, pages 1-13, February.
  34. Culda, Loredana Camelia & Kaslik, Eva & Neamţu, Mihaela, 2022. "Stability and bifurcations in a general Cournot duopoly model with distributed time delays," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
  35. Yu, Weisheng & Yu, Yu, 2014. "The complexion of dynamic duopoly game with horizontal differentiated products," Economic Modelling, Elsevier, vol. 41(C), pages 289-297.
  36. Fanti, Luciano & Gori, Luca, 2012. "The dynamics of a differentiated duopoly with quantity competition," Economic Modelling, Elsevier, vol. 29(2), pages 421-427.
  37. Li, Yan & Wang, Lidong, 2019. "Chaos in a duopoly model of technological innovation with bounded rationality based on constant conjectural variation," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 116-126.
  38. Shi, Lian & Sheng, Zhaohan & Xu, Feng, 2015. "The dynamics of competition in remanufacturing: A stability analysis," Economic Modelling, Elsevier, vol. 50(C), pages 245-253.
  39. Naimzada, A.K. & Raimondo, Roberto, 2018. "Heterogeneity and chaos in congestion games," Applied Mathematics and Computation, Elsevier, vol. 335(C), pages 278-291.
  40. Askar, S.S. & Al-khedhairi, A., 2020. "On complex dynamic investigations of a piecewise smooth nonlinear duopoly game," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
  41. Peng, Yu & Lu, Qian & Xiao, Yue, 2016. "A dynamic Stackelberg duopoly model with different strategies," Chaos, Solitons & Fractals, Elsevier, vol. 85(C), pages 128-134.
  42. Askar, S.S. & Alshamrani, Ahmad M. & Alnowibet, K., 2016. "The arising of cooperation in Cournot duopoly games," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 535-542.
  43. Lorenzo Cerboni Baiardi & Ahmad K. Naimzada, 2019. "An evolutionary Cournot oligopoly model with imitators and perfect foresight best responders," Metroeconomica, Wiley Blackwell, vol. 70(3), pages 458-475, July.
  44. Andaluz, J. & Elsadany, A.A. & Jarne, G., 2017. "Nonlinear Cournot and Bertrand-type dynamic triopoly with differentiated products and heterogeneous expectations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 132(C), pages 86-99.
  45. Peng, Yu & Lu, Qian & Wu, Xue & Zhao, Yueru & Xiao, Yue, 2020. "Dynamics of Hotelling triopoly model with bounded rationality," Applied Mathematics and Computation, Elsevier, vol. 373(C).
  46. Georges Sarafopoulos, 2015. "On the complex dynamics of a bounded rational monopolist model," International Journal of Business and Economic Sciences Applied Research (IJBESAR), Democritus University of Thrace (DUTH), Kavala Campus, Greece, vol. 8(1), pages 113-120, August.
  47. Xin, Baogui & Chen, Tong, 2011. "On a master-slave Bertrand game model," Economic Modelling, Elsevier, vol. 28(4), pages 1864-1870, July.
  48. Yi, Qi Guo & Zeng, Xiang Jin, 2015. "Complex dynamics and chaos control of duopoly Bertrand model in Chinese air-conditioning market," Chaos, Solitons & Fractals, Elsevier, vol. 76(C), pages 231-237.
  49. Gian Italo Bischi & Fabio Lamantia & Davide Radi, 2018. "Evolutionary oligopoly games with heterogeneous adaptive players," Chapters, in: Luis C. Corchón & Marco A. Marini (ed.), Handbook of Game Theory and Industrial Organization, Volume I, chapter 12, pages 343-370, Edward Elgar Publishing.
  50. Peng, Yu & Lu, Qian & Xiao, Yue & Wu, Xue, 2019. "Complex dynamics analysis for a remanufacturing duopoly model with nonlinear cost," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 658-670.
  51. Askar, S.S. & Alnowibet, K., 2016. "Nonlinear oligopolistic game with isoelastic demand function: Rationality and local monopolistic approximation," Chaos, Solitons & Fractals, Elsevier, vol. 84(C), pages 15-22.
  52. Tramontana, Fabio, 2010. "Heterogeneous duopoly with isoelastic demand function," Economic Modelling, Elsevier, vol. 27(1), pages 350-357, January.
  53. El-Metwally, H., 2007. "Global behavior of an economic model," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 994-1005.
  54. Yang, Xuenan & Peng, Yu & Xiao, Yue & Wu, Xue, 2019. "Nonlinear dynamics of a duopoly Stackelberg game with marginal costs," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 185-191.
  55. Angelini, Natascia & Dieci, Roberto & Nardini, Franco, 2009. "Bifurcation analysis of a dynamic duopoly model with heterogeneous costs and behavioural rules," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(10), pages 3179-3196.
  56. Xi, Xuan & Zhang, Jixiang, 2020. "Complexity analysis of a decision-making game concerning governments and heterogeneous agricultural enterprises with bounded rationality," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
  57. Georges SARAFOPOULOS & Kosmas PAPADOPOULOS, 2017. "On A Cournot Duopoly Game With Differentiated Goods, Heterogeneous Expectations And A Cost Function Including Emission Costs," Scientific Bulletin - Economic Sciences, University of Pitesti, vol. 16(1), pages 11-22.
  58. Frederik Schmidt, 2008. "The Stability of Dynamic Contests with Asymmetric and Endogenous Prizes," Economics Bulletin, AccessEcon, vol. 3(4), pages 1-9.
  59. S. S. Askar & A. Al-khedhairi, 2019. "Investigations of Nonlinear Triopoly Models with Different Mechanisms," Complexity, Hindawi, vol. 2019, pages 1-15, December.
  60. Yu, Weisheng & Yu, Yu, 2014. "A dynamic duopoly model with bounded rationality based on constant conjectural variation," Economic Modelling, Elsevier, vol. 37(C), pages 103-112.
  61. Fanti, Luciano & Gori, Luca & Sodini, Mauro, 2012. "Nonlinear dynamics in a Cournot duopoly with relative profit delegation," Chaos, Solitons & Fractals, Elsevier, vol. 45(12), pages 1469-1478.
  62. Zhengyang Liu & Haolin Lu & Liang Shan & Zihe Wang, 2024. "On the Oscillations in Cournot Games with Best Response Strategies," Papers 2410.09435, arXiv.org, revised May 2025.
  63. Xin, Baogui & Peng, Wei & Kwon, Yekyung, 2020. "A discrete fractional-order Cournot duopoly game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).
  64. Naimzada, Ahmad Kabir & Raimondo, Roberto, 2018. "Chaotic congestion games," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 333-348.
  65. Baogui Xin & Wei Peng & Yekyung Kwon, 2019. "A fractional-order difference Cournot duopoly game with long memory," Papers 1903.04305, arXiv.org.
  66. repec:ebl:ecbull:v:3:y:2008:i:4:p:1-9 is not listed on IDEAS
  67. Ding, Zhanwen & Li, Qiang & Jiang, Shumin & Wang, Xuedi, 2015. "Dynamics in a Cournot investment game with heterogeneous players," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 939-950.
  68. Du, Jian-guo & Fan, Yue-qian & Sheng, Zhao-han & Hou, Yun-zhang, 2013. "Dynamics analysis and chaos control of a duopoly game with heterogeneous players and output limiter," Economic Modelling, Elsevier, vol. 33(C), pages 507-516.
  69. S. S. Askar, 2020. "Duopolistic Stackelberg game: investigation of complex dynamics and chaos control," Operational Research, Springer, vol. 20(3), pages 1685-1699, September.
  70. Ahmed, E. & Elsadany, A.A. & Puu, Tonu, 2015. "On Bertrand duopoly game with differentiated goods," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 169-179.
  71. PAPADOPOULOS Kosmas & SARAFOPOULOS Georges, 2019. "Dynamics of a Cournot Game with Differentiated Goods and Asymmetric Cost Functions based on Relative Profit Maximization," European Journal of Interdisciplinary Studies, Bucharest Economic Academy, issue 02, June.
  72. Yi Wang & Hui Wang & Shubing Guo, 2019. "Research on Dynamic Game Model and Application of China’s Imported Soybean Price in the Context of China-US Economic and Trade Friction," Complexity, Hindawi, vol. 2019, pages 1-13, November.
  73. Cerboni Baiardi, Lorenzo & Naimzada, Ahmad K., 2019. "An oligopoly model with rational and imitation rules," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 156(C), pages 254-278.
  74. Askar, S.S. & Alnowibet, K., 2016. "Cooperation versus noncooperation: Cournot duopolistic game based on delay and time-dependent parameters," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 580-584.
  75. Zhang, Ming & Wang, Guanghui & Xu, Jin & Qu, Cunquan, 2020. "Dynamic contest model with bounded rationality," Applied Mathematics and Computation, Elsevier, vol. 370(C).
  76. Arianna Dal Forno & Ugo Merlone, 2019. "Heterogeneous Society in Binary Choices with Externalities," Dynamic Games and Applications, Springer, vol. 9(2), pages 433-457, June.
  77. Kosmas Papadopoulos & Georges Sarafopoulos & Evangelos Ioannidis, 2025. "Delayed Feedback Chaos Control on a Cournot Game with Relative Profit Maximization," Mathematics, MDPI, vol. 13(15), pages 1-18, July.
  78. Ahmed, Rizwan & Qureshi, M. Zubair Akbar & Abbas, Muhammad & Mumtaz, Nida, 2025. "Bifurcation and chaos control in a heterogeneous Cournot-Bertrand duopoly game model," Chaos, Solitons & Fractals, Elsevier, vol. 190(C).
  79. Cavalli, Fausto & Naimzada, Ahmad & Pireddu, Marina, 2015. "Heterogeneity and the (de)stabilizing role of rationality," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 226-244.
  80. Xi, Xuan & Zhang, Yulin, 2021. "Complexity analysis of production, fertilizer-saving level, and emission reduction efforts decisions in a two-parallel agricultural product supply chain," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
  81. Sameh Askar, 2021. "Complex Investigations of a Piecewise-Smooth Remanufacturing Bertrand Duopoly Game," Mathematics, MDPI, vol. 9(20), pages 1-13, October.
  82. Sameh S Askar & Abdulrahman Al-Khedhairi, 2020. "Local and Global Dynamics of a Constraint Profit Maximization for Bischi–Naimzada Competition Duopoly Game," Mathematics, MDPI, vol. 8(9), pages 1-16, August.
  83. Sameh S. Askar, 2020. "A Dynamic Duopoly Model: When a Firm Shares the Market with Certain Profit," Mathematics, MDPI, vol. 8(10), pages 1-13, October.
  84. Fanti, Luciano & Gori, Luca, 2011. "Efficient bargaining versus right to manage: a stability analysis with heterogeneous players in a duopoly with quantity competition and trade unions," MPRA Paper 34434, University Library of Munich, Germany.
  85. Tomasz Dubiel-Teleszyński, 2010. "Complex Dynamics in a Bertrand Duopoly Game with Heterogeneous Players," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 2(2), pages 95-116, March.
  86. Domenico Colucci & Matteo Vigna & Vincenzo Valori, 2022. "Large and uncertain heterogeneity of expectations: stability of equilibrium from a policy maker standpoint," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 17(1), pages 319-348, January.
  87. Agliari, A. & Naimzada, A.K. & Pecora, N., 2016. "Nonlinear dynamics of a Cournot duopoly game with differentiated products," Applied Mathematics and Computation, Elsevier, vol. 281(C), pages 1-15.
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  89. Ferenc Szidarovszky & Akio Matsumoto, 2024. "Dynamic Cooperative Oligopolies," Mathematics, MDPI, vol. 12(6), pages 1-12, March.
  90. Nicoleta SÎRGHI & Mihaela NEAMŢU & Petru Claudiu STRĂIN, 2015. "Analysis of a Dynamical Cournot Duopoly Game with Distributed Time Delay," Timisoara Journal of Economics and Business, West University of Timisoara, Romania, Faculty of Economics and Business Administration, vol. 8(1s), pages 1-13, February.
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  93. A. A. Elsadany & A. M. Awad, 2016. "Dynamical analysis and chaos control in a heterogeneous Kopel duopoly game," Indian Journal of Pure and Applied Mathematics, Springer, vol. 47(4), pages 617-639, December.
  94. Askar, S.S., 2018. "Tripoly Stackelberg game model: One leader versus two followers," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 301-311.
  95. Zhaohan Sheng & Jianguo Du & Qiang Mei & Tingwen Huang, 2013. "New Analyses of Duopoly Game with Output Lower Limiters," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, February.
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