By using multi-agents system model simulation method, this paper tries to reveal the key driving force for the evolution of industrial clusters under the dynamic development of the external environment and internal innovation. Also, how important role of policy recommendations is proved for the regional industrial development. For the purpose of studying the evolution of industrial clusters, a multi-agent system model is constructed and the model's learning algorithm addressed on genetic algorithm. First, industrial clusters are formed as a conceptual system which corresponds to a virtual multi-agent system and the basic genetic algorithm is employed as an agent's intelligent learning algorithm. Then, simulation results are carried out by conducting the learning algorithm on Matlab7.0 to simulate the evolving behaviors of the multi-agent system. By mapping the corresponding simulation results back to the conceptual system, the evolving rules of the industrial clusters are revealed thereafter. The study by this method shows that the evolution of industrial clusters comes from the complex interaction of inner agents by themselves. The leading actions of initiative enterprises are the fundamental factors in the process of evolution of industrial clusters. Finally, the evolution trajectories of the agents are presented graphically that visibly verify and obviously describe the dynamic evolution process.
This paper aims at the dynamic properties of the proposed globally planned economic systems named after CPE proposed by Loo-Keng Hua who is one of the worldwide famous Chinese mathematicians. First, we give new existence conditions of growth balanced solution to the model. Second, we lead into the concept of stability for balanced output and carry out a theorem that deals with some equivalent conditions for judging a solution of output starting from the fact that any initial input can whether approach the existing balanced solution or not. Third, a new dynamic price system related to interest factors is proposed here and it is demonstrated that the new price equation is a much generalized one in comparison with the original price one which is only a special case of this new price equation. Also, relationships of the balanced solutions between the price and the output equation are investigated and the stability analysis is studied as well for the new price system. Finally, two examples are employed to illustrate the technical operation of input-output method and some new contributions of this article.
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