Abstract
With the theory of super-network and the variational inequality method, this paper establishes a super-network model of economic development in three aspects, builds a new indicator system for measuring economic development, and calculates the equilibrium conditions for the balance of economic development. Firstly, the economic development is divided into three parts: economic growth, ecological environment optimization and scientific and technological progress. Respectively, with the set of measuring indicators in three aspects as a point of super-network and the link between these indicators as a super edge, thus a super-network model is established. Secondly, the hierarchical variable clustering analysis method is used to analyze the tightness of the links among the nodes in the super-network; and the objective function is established by using the partial measurement index, which simplifies the model. Finally, the variational inequality and projection iterative algorithm are used to calculate the equilibrium condition of the whole model. The main conclusions in this paper are as follows: (1) The indicators of economic development are interrelated with each other. (2) It can contribute to the balanced development of the economy in satisfied certain conditions.
Highlights
In the current information age, the application of super-network theory has spread to various fields, and the introduction of mathematical related calculation methods has made the research of super-network gradually change from qualitative to quantitative, making the established model more scientific
The economic development super network can be expressed as: G = (V, E), where V is the set of nodes, and V = {A is the set of nodes of economic growth index, B is the set of nodes of ecological environment optimization index, C is the set of nodes of scientific and technological progress indicators, E is the set of edges, and E = {EA-A, EA-B, EA-C, EB-B, EB-C, EC-C}
In the equilibrium conditions obtained above, we can see that economic development should be balanced and optimized
Summary
Com a teoria da super-rede e o método da desigualdade variacional, este artigo estabelece um modelo de superrede de desenvolvimento econômico em três aspectos, constrói um novo sistema de indicadores para medir o desenvolvimento econômico e calcula as condições de equilíbrio para o equilíbrio do desenvolvimento econômico. O método de análise de agrupamento de variáveis hierárquicas é usado para analisar a rigidez dos links entre os nós na super-rede; e a função objetivo é estabelecida usando o índice de medição parcial, que simplifica o modelo. Finalmente, a desigualdade variacional e o algoritmo iterativo de projeção são usados para calcular a condição de equilíbrio de todo o modelo. As principais conclusões deste artigo são as seguintes: (1) Os indicadores de desenvolvimento econômico estão inter-relacionados. RISUS – Journal on Innovation and Sustainability, São Paulo, v.11, n.1, p. 68-81 jan./fev. 2020 - ISSN 2179-3565
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