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The purpose of this research is to study the stability and the multistability of the established model. The local stability of all the equilibrium points is discussed by using Jury condition, and the stability region of the Nash equilibrium point has been given. A special fractal structure called \u201chub of periodicity\u201d has been found in the two-parameter space by numerical simulation. In addition, the phenomena of multistability (also called coexistence of multiple attractors) are also studied using basins of attraction and 1-D bifurcation diagrams with adiabatic initial conditions. We find that there are two different coexistences of multiple attractors. And, the fractal structure of the attracting basin is also analyzed, and the formation mechanisms of \u201choles\u201d and \u201ccontact\u201d bifurcation have been revealed. At last, the long-term profits of the enterprises are studied. We find that some enterprises can even make more profits under a chaotic circumstance.<\/jats:p>","DOI":"10.1155\/2020\/4580415","type":"journal-article","created":{"date-parts":[[2020,8,12]],"date-time":"2020-08-12T23:43:38Z","timestamp":1597275818000},"page":"1-16","source":"Crossref","is-referenced-by-count":10,"title":["Stability and Multistability of a Bounded Rational Mixed Duopoly Model with Homogeneous Product"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4477-3940","authenticated-orcid":true,"given":"Wei","family":"Zhou","sequence":"first","affiliation":[{"name":"School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, China"}]},{"given":"Na","family":"Zhao","sequence":"additional","affiliation":[{"name":"School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, China"}]},{"given":"Tong","family":"Chu","sequence":"additional","affiliation":[{"name":"School of Law, Zhejiang 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