首页|Studies from Beihang University Describe New Findings in Symbolic Computation (S tability and Chaos of the Duopoly Model of Kopel: a Study Based On Symbolic Comp utations)
Studies from Beihang University Describe New Findings in Symbolic Computation (S tability and Chaos of the Duopoly Model of Kopel: a Study Based On Symbolic Comp utations)
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By a News Reporter-Staff News Editor at Robotics & Machine Learning Daily News Daily News – Fresh data on Symbolic Computation are presented in a new report. According to news reporting out of Beijing, People’s Republic of China, by NewsRx editors, research stated, “Since Kopel’s duopoly m odel was proposed about 3 decades ago, there are almost no analytical results on the equilibria and their stability in the asymmetric case. The first objective of our study is to fill this gap.” Financial support for this research came from Philosophy and Social Science Foun dation of Guangdong. Our news journalists obtained a quote from the research from Beihang University, “This paper analyzes the asymmetric duopoly model of Kopel analytically by usin g several tools based on symbolic computations.We discuss the possibility of th e existence of multiple positive equilibria and establish conditions for a given number of positive equilibria to exist. The possible positions of the equilibri a in Kopel’s model are also explored. Furthermore, in the asymmetric model of Ko pel, if the duopolists adopt the best response reactions or homogeneous adaptive expectations, we establish conditions for the local stability of equilibria for the first time. The occurrence of chaos in Kopel’s model seems to be supported by observations through numerical simulations, which, however, is challenging to prove rigorously.”
BeijingPeople’s Republic of ChinaAsi aEmerging TechnologiesMachine LearningSymbolic ComputationBeihang Univer sity
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