Asymptotic dynamics of a piecewise smooth map modelling a competitive market
Author
Abstract
Suggested Citation
DOI: 10.1016/j.matcom.2015.05.004
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Tramontana, Fabio & Gardini, Laura & Puu, Tönu, 2010. "Global bifurcations in a piecewise-smooth Cournot duopoly game," Chaos, Solitons & Fractals, Elsevier, vol. 43(1), pages 15-24.
- Puu, Tönu & Marín, Manuel Ruíz, 2006. "The dynamics of a triopoly Cournot game when the competitors operate under capacity constraints," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 403-413.
- Puu, T. & Panchuk, A., 2009. "Oligopoly and stability," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2505-2516.
- Panchuk, A. & Puu, T., 2015. "Oligopoly model with recurrent renewal of capital revisited," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 108(C), pages 119-128.
- Brianzoni, Serena & Michetti, Elisabetta & Sushko, Iryna, 2010. "Border collision bifurcations of superstable cycles in a one-dimensional piecewise smooth map," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(1), pages 52-61.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Jose S. Cánovas & Anastasiia Panchuk & Tonu Puu, 2015. "Role of reinvestment in a competitive market," Gecomplexity Discussion Paper Series 12, Action IS1104 "The EU in the new complex geography of economic systems: models, tools and policy evaluation", revised Apr 2015.
- Puu, Tonu & Tramontana, Fabio, 2019. "Can Bertrand and Cournot oligopolies be combined?," Chaos, Solitons & Fractals, Elsevier, vol. 125(C), pages 97-107.
- Panchuk, A. & Puu, T., 2015. "Oligopoly model with recurrent renewal of capital revisited," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 108(C), pages 119-128.
- Anna Agliari & Pasquale Commendatore & Ilaria Foroni & Ingrid Kubin, 2011. "Border Collision Bifurcations in a Footloose Capital Model with First Nature Firms," Computational Economics, Springer;Society for Computational Economics, vol. 38(3), pages 349-366, October.
- Kubin, Ingrid & Zörner, Thomas O. & Gardini, Laura & Commendatore, Pasquale, 2019. "A credit cycle model with market sentiments," Structural Change and Economic Dynamics, Elsevier, vol. 50(C), pages 159-174.
- 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.
- 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.
- Sushko, Iryna & Gardini, Laura & Matsuyama, Kiminori, 2014. "Superstable credit cycles and U-sequence," Chaos, Solitons & Fractals, Elsevier, vol. 59(C), pages 13-27.
- 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.
- Radi, Davide & Gardini, Laura & Avrutin, Viktor, 2014.
"The role of constraints in a segregation model: The symmetric case,"
Chaos, Solitons & Fractals, Elsevier, vol. 66(C), pages 103-119.
- Davide Radi & Laura Gardini & Viktor Avrutin, 2014. "The Role of Constraints in a Segregation Model: The Asymmetric Case," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-17, August.
- Fabio Lamantia & Mario Pezzino, 2018. "The dynamic effects of fiscal reforms and tax competition on tax compliance and migration," Review of International Economics, Wiley Blackwell, vol. 26(3), pages 672-690, August.
- Sarah Mignot & Fabio Tramontana & Frank Westerhoff, 2024.
"Complex dynamics in a nonlinear duopoly model with heuristic expectation formation and learning behavior,"
Annals of Operations Research, Springer, vol. 337(3), pages 809-834, June.
- Mignot, Sarah & Tramontana, Fabio & Westerhoff, Frank H., 2023. "Complex dynamics in a nonlinear duopoly model with heuristic expectation formation and learning behavior," BERG Working Paper Series 187, Bamberg University, Bamberg Economic Research Group.
- Li, Bo & Liang, Houjun & Shi, Lian & He, Qizhi, 2022. "Complex dynamics of Kopel model with nonsymmetric response between oligopolists," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
- Matsuo, Akihito & Asahara, Hiroyuki & Kousaka, Takuji, 2012. "Bifurcation structure of chaotic attractor in switched dynamical systems with spike noise," Chaos, Solitons & Fractals, Elsevier, vol. 45(6), pages 795-804.
- Lampart, Marek, 2012. "Stability of the Cournot equilibrium for a Cournot oligopoly model with n competitors," Chaos, Solitons & Fractals, Elsevier, vol. 45(9), pages 1081-1085.
- Agliari, Anna & Pecora, Nicolò & Szuz, Alina, 2022. "Appearance of closed invariant curves in a piecewise Cournot model with advertising," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
- Bischi, Gian Italo & Lamantia, Fabio & Radi, Davide, 2015. "An evolutionary Cournot model with limited market knowledge," Journal of Economic Behavior & Organization, Elsevier, vol. 116(C), pages 219-238.
- Ting Li & Dongyun Yan & Xiaogang Ma, 2019. "Stability Analysis and Chaos Control of Recycling Price Game Model for Manufacturers and Retailers," Complexity, Hindawi, vol. 2019, pages 1-13, July.
- Brianzoni, Serena & Coppier, Raffaella & Michetti, Elisabetta, 2019. "Evolutionary effects of non-compliant behavior in public procurement," Structural Change and Economic Dynamics, Elsevier, vol. 51(C), pages 106-118.
- Cerboni Baiardi, Lorenzo & Lamantia, Fabio & Radi, Davide, 2015. "Evolutionary competition between boundedly rational behavioral rules in oligopoly games," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 204-225.
More about this item
Keywords
Multidimensional piecewise smooth map; Coexisting metric attractors; Oligopoly market model; Cournot equilibrium stability;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:117:y:2015:i:c:p:20-38. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.