Discrete-time delay dynamics of boundedly rational monopoly

Akio Matsumoto1, Ferenc Szidarovszky2
1Chuo University
2[Department of Systems and Industrial Engineering, University of Arizona Tucson, USA]

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Tài liệu tham khảo

Agiza, H.N., Hegazi, A.S., Elsadany, A.A.: The dynamics of Bowley’s model with bounded rationality. Chaos Solitons Fractals 12, 1705–1717 (2001)

Bellman, R., Cooke, K.L.: Differential-Difference Equations. Academic Press, New York (1956)

Bischi, G.-I., Chiarella, C., Kopel, M., Szidarovszky, F.: Nonlinear Oligopolies: Stability and Bifurcations. Springer, Berlin (2010)

Cushing, J.: Integro-differential Equations and Delay Models in Population Dynamics. Springer, Berlin (1977)

Farebother, R.W.: Simplified Samuelson condition for cubic and quartic equations. Manchester School 41, 396–400 (1973)

Lorenz, H.-W.: Nonlinear Dynamical Economics and Chaotic Motion, Second, Revised and Enlarged Edition. Springer, Berlin/HeidelBerg/New York (1993)

Martelli, M.: Introduction to Discrete Dynamical Systems and Chaos. Wiley-Interscience, New York (1999)

Matsumoto, A., Szidarovszky, F.: Nonlinear delay monopoly with bounded rationality. Chaos Solitions Fractals 45, 507–519 (2012a)

Matsumoto, A., Szidarovszky, F.: Boundedly Rational Monopoly with Continuously Distributed Single Time Delays. IERCU discussion paper #180. http://www.chuo-u.ac.jp/chuo-u/ins_economics/pdf/f06_03_03_04/discussno180.pdf (2012b)

Okuguchi, K., Irie, K.: The Schur and Samuelson conditions for a cubic equation. Manch. Sch. 58, 414–418 (1990)

Okuguchi, K., Szidarovszky, F.: The Theory of Oligopoly with Multi-Product Firms. Springer, Berlin (1990)

Sun, Z.: Effect of delay on stability of monopoly system with delayed bounded rationality. Chin. J. Phys. 49, 1060–1070 (2011)