On modelling advertisement in Cournot duopoly. (English) Zbl 0957.91066
Summary: A system of two firms is studied following Puu’s model of Cournot duopoly. Their competing advertisements are modelled. Chaos is observed if the advertisements’ parameters of both firms are close to each other. Chaos control formulae are given to control the chaos due to advertisements.
MSC:
| 91B54 | Special types of economic markets (including Cournot, Bertrand) |
| 37N40 | Dynamical systems in optimization and economics |
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
References:
| [1] | Puu, T., Chaos, Solitons and Fractals, 1991,1,; Puu, T., Chaos, Solitons and Fractals, 1991,1, · Zbl 0754.90015 |
| [2] | Puu, T., Chaos, Solitons and Fractals, 1996,7,; Puu, T., Chaos, Solitons and Fractals, 1996,7, |
| [3] | Ahmed, E. and Agiza, H. N., Chaos, Solitons and Fractals; Ahmed, E. and Agiza, H. N., Chaos, Solitons and Fractals · Zbl 0861.92016 |
| [4] | Luhta, I., Virtanen, I., Chaos, Solitons and Fractals, 1996,7,; Luhta, I., Virtanen, I., Chaos, Solitons and Fractals, 1996,7, |
| [5] | Ott, E., Grebogi, C., Yorke, J. A., Phys. Rev Lett., 1990,64,; Ott, E., Grebogi, C., Yorke, J. A., Phys. Rev Lett., 1990,64, |
| [6] | Edelstien-Keshet, L., Mathematical Models in Biology; Edelstien-Keshet, L., Mathematical Models in Biology · Zbl 1100.92001 |
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