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In this paper, we use the entropy method, the Super-SBM model, and the Haken model to measure the digital economy resilience, digital economy efficiency, and their synergistic evolution mechanisms in 31 Chinese provinces and autonomous regions from 2013 to 2020, respectively. The results show that: (1) The resilience of the digital economy is the order parameter leading synergistic development, playing a prominent role in promoting the development of the digital economy from disorder to order. (2) Synergistic evolution has evolved from low-level to high-level, but it is in the primary stage as a whole, and the fluctuation of its development is not obvious, showing a unipolar development pattern. (3) There are significant regional differences in synergistic evolution, showing a polarization pattern, with the \u201cMatthew effect\u201d that the stronger the start the stronger the development. (4) Overall, the resilience and efficiency of the digital economy show a positive synergistic effect, but some provinces show a negative feedback mechanism that inhibits the orderly development of the system, there is a bias effect, and the development levels of the resilience and efficiency of the digital economy are mismatched. (5) The four paths that drive the synergistic evolution of resilience and efficiency in a high digital economy are the \u201cResilience Dominates Driven Path\u201d, the \u201cBasic Driven Path\u201d, the \u201cInnovation Driven Path\u201d, and the \u201cBalanced Driven Path\u201d, respectively. In short, the synergistic evolution of the resilience and efficiency of the digital economy shows that the future development of the digital economy needs to cultivate endogenous momentum, pay attention to strengthening resilience in the process of continuing to build a diversified industrial system, and continuously improve the operational efficiency of the digital economy, in order to promote its high-quality development.<\/jats:p>","DOI":"10.3390\/systems11080433","type":"journal-article","created":{"date-parts":[[2023,8,18]],"date-time":"2023-08-18T09:13:44Z","timestamp":1692350024000},"page":"433","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["The Synergistic Evolution of Resilience and Efficiency in the Digital Economy and Its Path Identification: Evidence from China"],"prefix":"10.3390","volume":"11","author":[{"given":"Linyan","family":"Wang","sequence":"first","affiliation":[{"name":"School of Economics and Management, Xi\u2019an University of Technology, Xi\u2019an 710054, China"}]},{"given":"Haiqing","family":"Hu","sequence":"additional","affiliation":[{"name":"School of Economics and Management, Xi\u2019an University of Technology, Xi\u2019an 710054, China"}]},{"given":"Xianzhu","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Business, Anhui University of Technology, Ma\u2019anshan 243002, China"}]},{"given":"Xincheng","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Cultural Tourism and Journalistic Arts, Shanxi University of Finance and Economics, Taiyuan 030006, China"}]},{"given":"Zhishan","family":"Yan","sequence":"additional","affiliation":[{"name":"School of Economics and Management, Xi\u2019an University of Technology, Xi\u2019an 710054, China"}]},{"given":"Zhikang","family":"Liang","sequence":"additional","affiliation":[{"name":"School of Economics and Management, Xi\u2019an University of Technology, Xi\u2019an 710054, China"}]}],"member":"1968","published-online":{"date-parts":[[2023,8,18]]},"reference":[{"key":"ref_1","doi-asserted-by":"publisher","first-page":"220","DOI":"10.1038\/d41586-020-03482-z","article-title":"Combine resilience and efficiency in post-covid societies","volume":"588","author":"Trump","year":"2020","journal-title":"Nature"},{"key":"ref_2","first-page":"406","article-title":"Synergistic analysis of economic resilience and efficiency of marine fishery in China","volume":"41","author":"Han","year":"2022","journal-title":"Geogr. 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