Abstract

This paper employs a Game Theory-based Weighting and Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) method to comprehensively evaluate the development vitality of new quality productive forces in Beijing, Tianjin, and Hebei. By integrating the Analytic Hierarchy Process (AHP) and Entropy Method to determine weights, a scientific evaluation index system is constructed, incorporating both expert opinions and objective data. The evaluation results indicate that Beijing excels in technological innovation and efficiency, Tianjin performs well in green development, while Hebei requires enhancement in industrial transformation and upgrading. Encompassing multiple dimensions such as technological innovation, intellectual resources, green development, production efficiency, and industrial transformation and upgrading, the assessment further validates the effectiveness of the evaluation methodology through case study analysis. The Game Theory-based Weighting approach effectively combines subjective and objective weights, enhancing the scientific rigor and accuracy of the evaluation. The results provide a decision-making basis for optimizing industrial structures, promoting regional collaboration, advancing green and low-carbon development, and improving social well-being in the Beijing-Tianjin-Hebei region. In conclusion, the proposed Game Theory-based Weighting and TOPSIS evaluation model serves as a powerful tool for assessing the development vitality of new quality productive forces in Beijing, Tianjin, and Hebei. It holds significant implications for driving regional high-quality development, achieving economic growth with high quality, and fostering sustainable social development.

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