Chaotic dynamics in nonlinear duopoly Stackelberg game with heterogeneous players

Yue Xiao, Yu Peng, Qian Lu and Xue Wu

Physica A: Statistical Mechanics and its Applications, 2018, vol. 492, issue C, 1980-1987

Abstract: In this paper, a nonlinear duopoly Stackelberg game of competition on output is concerned. In consideration of the effects of difference between plan products and actual products, the two heterogeneous players always adopt suitable strategies which can improve their benefits most. In general, status of each firm is unequal. As the firms take strategies sequentially and produce simultaneously, complex behaviors are brought about. Numerical simulation presents period doubling bifurcation, maximal Lyapunov exponent and chaos. Moreover, an appropriate method of chaos controlling is applied and fractal dimension is analyzed as well.

Keywords: Duopoly Stackelberg game; Heterogeneous players; Bifurcation; Chaos control; Fractal dimension (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (12)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:492:y:2018:i:c:p:1980-1987

DOI: 10.1016/j.physa.2017.11.112

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