A Urban Economic Vitality Model Based on Nash Equilibrium to Analyze the Impact of Enterprises and Talents with Matlab

How to seize the key factors and effectively improve the regional economic vitality is a subject worthy of study. In this paper, we analyze how enterprise and talents impact to city economic vitality by building a Game Theory based Urban Economic Vitality model (GTUEV model) to tackle this problem. Our simulation experiment is implemented in Matlab. Firstly, we introduce the Theil coefficient to analyze enterprise policies as well as adopt time-series global method to analyze talent policies. It can be concluded that the impact of talent policies on economic vitality has a significant lag of about 1.8 years. Then the Nash equilibrium is used to optimize the model. Based on our model, we can draw the conclusion: In the short term, economic grows most dynamically when investment for talents accounts for 38% of the total resources. In the long term, the best time for the growth of economic vitality comes when investment for talents accounts for 52% of the total resources. In case of urgent need for economic recovery after the rampant of COVID-19, it can help the government to provide constructive suggestions.