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| Complexity Analysis for Dynamic Game Model with Dual Decision Variables |
| GUO Zhanbing, MA Junhai
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| College of Management and Economics, Tianjin University, Tianjin 300072, China |
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Abstract On the basis of dynamic oligopoly game models, in which price is the only decision variable, we creativity introduce product quality level as a new decision variable in this paper to meet the actual circumstances better, and a new dynamic duopoly game model with dual decision variables was established under the consideration of bounded rationality. Firstly, we analyze the complexity of this model as well as four kinds of equilibrium points. Secondly, system properties are showed by numerical simulation. We can find that adding a new variable can reduce the stable region as well as increase profit, and two kinds of bifurcations are corresponding similar and the influence of each parameter on total profit and on stability domain are mostly in opposite directions. These studies have theoretical and practical values to guide the behaviors of dynamic oligopoly game with dual decision variables.
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Received: 22 July 2013
Published: 22 June 2026
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