Oligopoly games with nonlinear demand and cost functions: Two boundedly rational adjustment processes

Chaos, Solitons and Fractals

Volumn 29, Issue 3, 2006, Pages 707-722

  Naimzada, Ahmad K ^a   Sbragia, Lucia ^b  

^a UNIVERSITY OF MILANO BICOCCA   (Italy)

^b UNIVERSITY OF URBINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; COST ACCOUNTING; DECISION MAKING; MARKETING; OPTIMIZATION; PROBLEM SOLVING;

ADAPTIVE MECHANISMS; COURNOT-NASH EQUILIBRIUM; GRADIENT DYNAMICS; LINEAR COST FUNCTIONS; LINEAR DEMAND FUNCTIONS; OLIGOPOLY GAMES; PROFIT MAXIMIZATION;

GAME THEORY;

EID: 33644889679     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.08.103     Document Type: Conference Paper

References (34)

1. R. Abraham, L. Gardini, and C. Mira Chaos in discrete dynamical systems 1997 Springer-Verlag
2. H.N. Agiza, A.S. Hegazi, and A.A. Elsadany Complex dynamics and synchronization of a duopoly game with bounded rationality Math Comput Simulat 58 2002 133 146
3. W.J. Baumol, and R.E. Quandt Rules of Thumb and optimally imperfect decisions Am Econom Rev 54 1964 23 46
4. G.I. Bischi, and L. Gardini Role of invariant and minimal absorbing areas in chaos synchronization Phys Rev E 58 5 1998 5710 5719
5. G.I. Bischi, and A. Naimzada Global analysis of a duopoly game with bounded rationality Adv Dynam Games Appl 5 1999 361 385
6. G.I. Bischi, L. Gardini, and M. Kopel Analysis of global bifurcations in a market share attraction model J Econom Dynam Control 24 2000 855 879
7. G.I. Bischi, and F. Lamantia Nonlinear duopoly games with positive cost externalities due to spillover effects Chaos, Solitons & Fractals 13 2002 805 822
8. G.I. Bischi, and M. Kopel Equilibrium selection in a nonlinear duopoly game with adaptive expectations J Econom Behav Organiz 46 1 2001 73 100
9. Bischi GI, Naimzada A., Sbragia L. Oligopoly games with local monopolistic approximation. J Econom Behav Organiz, forthcoming.
10. G.I. Bischi, F. Lamantia, and L. Sbragia Competition and cooperation in natural resources exploitation: an evolutionary game approach C. Carraro V. Fragnelli Game practice and the environment 2004 Edward Elgar Publishing 187 211
11. G. Bonanno Oligopoly equilibria when firms have local knowledge of demand Int Econom Rev 29 1988 45 55
12. G. Bonanno, and C. Zeeman Limited knowledge of demand and oligopoly equilibria J Econom Theory 35 1985 276 283
13. C.W. Clark Mathematical bioeconomics-the optimal management of renewable resources 1990 John Wiley & Sons New York
14. A. Cournot Recherches sur les principes matematiques de la theorie de la richesse 1838 Hachette Paris
15. A. Dixit Comparative statics for oligopoly Int Econom Rev 27 1986 107 122
16. S.D. Flam Nonlinear dynamics in economics and social sciences F. Gori L. Geronazzo M. Galeotti Lecture notes in economics and mathematical systems vol. 399 1993 Springer-Verlag 232 237
17. D. Furth Stability and instability in oligopoly J Econom Theory 40 1986 197 228
18. I. Gumowski, and C. Mira Dynamique chaotique 1980 Cepadues Editions Toulose
19. J.Y. Jin Monopolistic competition and bounded rationality J Econom Behav Organiz 45 2001 175 184
20. A.P. Kirman Learning by firms about demand conditions R.H. Day T. Groves Adaptive economic models 1975 Academic Press 137 156
21. M. Kopel Simple and complex adjustment dynamics in Cournot duopoly models Chaos, Solitons & Fractals 7 12 1996 2031 2048
22. A. Medio, and M. Lines Nonlinear dynamics 2001 Cambridge University Press
23. D. Mira, Fournier-Prunaret, L. Gardini, H. Kawakami, and J.C. Cathala Basin bifurcations of two-dimensional noninvertible maps: fractalization of basins Int J Bifurcat Chaos 4 1994 343 381
24. C. Mira, L. Gardini, A. Barugola, and J.C. Cathala Chaotic dynamics in two-dimensional noninvertible maps 1996 World Scientific
25. T. Negishi Monopolistic competition and general equilibrium Rev Econom Stud 27 1961 136 139
26. T. Offerman, J. Potters, and J. Sonnemans Imitation and belief learning in an oligopoly experiment Rev Econom Stud 69 2002 973 997
27. T. Puu Chaos in duopoly pricing Chaos, Solitons & Fractals 1 1991 573 581
28. T. Puu Attractors, bifurcations and Chaos 2000 Springer-Verlag Berlin
29. P.L. Sacco Adaptive response and Cournotian behavior Econom Notes 20 1991 474 496
30. J. Silvestre A model of general equilibrium with monopolistic behavior J Econom Theory 16 1977 425 442
31. F. Szidarovszky, and K. Okuguchi A linear oligopoly model with adaptive expectations: stability reconsidered J Econom 48 1988 79 82
32. F. Szidarovszky, and K. Okuguchi An oligopoly model of commercial fishing Seoul J Econom 11 1998 321 330
33. J. Tuinstra A price adjustment process in a model of monopolistic competition Int Game Theory Rev 6 3 2004 417 442
34. H.R. Varian Microeconomic analysis 3rd ed. 1992 W.W. Norton & Company