Complex Dynamics Analysis of Generalized Tullock Contest

O225%O19; The generalized dynamic Tullock contest model with two homogeneous participants is established,in which both players have the same valuation of winning rewards and losing rewards.Firstly,the unique symmetric equilibrium point of the system is obtained by calculation and its local stability...

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Bibliographic Details
Published in东华大学学报（英文版） Vol. 40; no. 4; pp. 454 - 460
Main Authors YANG Xin, ZHOU Wei
Format Journal Article
LanguageEnglish
Published School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China 31.08.2023
Subjects
Arnold tongue
Tullock contest
coexistence of attractor
chaos
contact bifurcation
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Summary:O225%O19; The generalized dynamic Tullock contest model with two homogeneous participants is established,in which both players have the same valuation of winning rewards and losing rewards.Firstly,the unique symmetric equilibrium point of the system is obtained by calculation and its local stability condition is given based on the Jury criterion.Then,two paths of the system from stability to chaos,namely flip bifurcation and Neimark-Sacker bifurcation,are analyzed by using the two-dimensional parametric bifurcation diagram.Meanwhile,the abundant Arnold tongues in the two-dimensional parametric bifurcation diagram are analyzed.Finally,the phenomenon of multistability of the system is illustrated through the basin of attraction,and the contact bifurcation occurs during the evolution of the basin of attraction with varying parameters.
ISSN:1672-5220
DOI:10.19884/j.1672-5220.202205001