Sheng, Zhaohan; Du, Jianguo; Mei, Qiang; Huang, Tingwen New analyses of duopoly game with output lower limiters. (English) Zbl 1273.91107 Abstr. Appl. Anal. 2013, Article ID 406743, 10 p. (2013). Summary: In the real business world, player sometimes would offer a limiter to their output due to capacity constraints, financial constraints, or cautious response to uncertainty in the world. In this paper, we modify a duopoly game with bounded rationality by imposing lower limiters on output. Within our model, we analyze how lower limiters have an effect on dynamics of output and give proof in theory why adding lower limiters can suppress chaos. We also explore the numbers of the equilibrium points and the distribution of conditioned equilibrium points. Stable region of the conditioned equilibrium is discussed. Numerical experiments show that the output evolution system having lower limiters becomes more robust than without them, and chaos disappears if the lower limiters are big enough. The local or global stability of the conditional equilibrium points provides a theoretical basis for the limiter control method of chaos in economic systems. Cited in 3 Documents MSC: 91B02 Fundamental topics (basic mathematics, methodology; applicable to economics in general) 91A05 2-person games 91B52 Special types of economic equilibria Keywords:duopoly game; bounded rationality; lower limiters on output; equilibrium points; numerical experiments; limiter control method of chaos × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Cournot, A., Researches into the Mathematical Principles of the Theory of Wealth (1838), Paris, France: Hachette, Paris, France · JFM 28.0211.07 [2] Agiza, H. N.; Hegazi, A. S.; Elsadany, A. A., Complex dynamics and synchronization of a duopoly game with bounded rationality, Mathematics and Computers in Simulation, 58, 2, 133-146 (2002) · Zbl 1002.91010 · doi:10.1016/S0378-4754(01)00347-0 [3] Agiza, H. N.; Hegazi, A. S.; Elsadany, A. 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