Basins of attraction in a Cournot duopoly model of Kopel

Journal of Difference Equations and Applications

Volumn 11, Issue 10, 2005, Pages 879-887

  Anderson, Douglas R ^a   Myran, Nicholas G ^a   White, Dustin L ^a  

^a and Exercise Science   (United States)

Author keywords

Asymptotic behavior; Attractor; Discrete dynamical systems; Fixed point; Repeller

Indexed keywords

EID: 27344458409     PISSN: 10236198     EISSN: None     Source Type: Journal    
DOI: 10.1080/10236190512331333888     Document Type: Article

References (7)

1. Kulenovic, M.R.S. and Merino, O., 2002, Discrete Dynamical Systems and Difference Equations with Mathematica (Boca Raton: Chapman & Hall /CRC).
2. Cournot, A., 1838, Recherche sur la Principes Matematiques de la Theorie de las Richesse (Paris: Hachette).
3. Kopel, M., 1996, Simple and complex adjustment dynamics in Cournot duopoly models, Chaos, Solitons & Fractals, 7(12), 2031-2048.
4. Agiza, H.N., 1999, On the analysis of stability, bifurcation, chaos and chaos control of Kopel map, Chaos, Solitons & Fractals, 10(11), 1909-1916.
5. Bischi, G.I. and Kopel, M., 2001, Equilibrium selection in a nonlinear duopoly game with adaptive expectations, Journal of Economic Behavior & Organization, 46, 73-100.
6. Bischi, G.I., Mammana, C. and Gardini, L., 2000, Multistability and cyclic attractors in duopoly games, Chaos, Solitons & Fractals, 11, 543-564.
7. Holmgren, R.A., 1996, A First Course in Discrete Dynamical Systems, 2nd Ed. (New York: Springer).