Heterogeneity test (by different region).

Common prosperity stands as a pivotal concept and objective within China’s socialism with distinctive characteristics, serving as a fundamental assurance and basis for ensuring its people’s happiness and comprehensive development. This research employs a Coupled Coordination Degree Model to construct a common prosperity Index using data from China between 2010 and 2020. The study investigates the influence of innovation and entrepreneurship on common prosperity while examining the regulating roles played by the government and market during this process. The outcomes demonstrate that innovation substantially facilitates the realization of common prosperity. The relationship between entrepreneurship and common prosperity follows a positive "U"-shaped curve, where entrepreneurship significantly contributes to common prosperity upon reaching a particular scale. Further investigations reveal heterogeneity in the impact of innovation and entrepreneurship on common prosperity. Specifically, innovation significantly contributes to common prosperity in the northern regions, whereas entrepreneurship has a noteworthy impact on common prosperity in the southern regions. Moreover, it is worth noting that both innovation and entrepreneurship have a significant influence on common prosperity in areas characterized by low economic development levels and a scarcity of fixed capital. The fiscal effects of the government attenuate the promoting effect of innovation on common prosperity but enhance the adverse influence of entrepreneurship. On the contrary, market mechanisms mitigate the negative impact of entrepreneurship on common prosperity. Consequently, achieving common prosperity requires strengthened regional innovation cooperation, encouraging advanced regions to lead underdeveloped regions, and leveraging the regulatory roles of both the government and the market, thus progressing gradually towards common prosperity.

共同富裕是中国特色社会主义的核心概念与重要目标，是保障人民幸福与全面发展的根本依托。本研究采用耦合协调度模型（Coupled Coordination Degree Model）构建共同富裕指数，所用数据覆盖2010至2020年的中国样本。本研究探讨了创新创业对共同富裕的影响，并考察了政府与市场在此过程中的调节作用。研究结果显示，创新显著助力共同富裕的实现；创业与共同富裕之间呈现正向U型关系，当创业规模达到特定阈值后，创业将对共同富裕产生显著推动作用。进一步分析表明，创新创业对共同富裕的影响存在异质性：具体而言，创新对北方地区的共同富裕具有显著推动作用，而创业则对南方地区的共同富裕影响显著。此外，在经济发展水平较低、固定资产匮乏的地区，创新创业对共同富裕均具有显著影响。政府的财政调控会削弱创新对共同富裕的促进作用，但会强化创业的负面影响；与之相反，市场机制则会缓解创业对共同富裕的负面影响。因此，实现共同富裕需要加强区域创新合作，鼓励发达地区引领欠发达地区，并充分发挥政府与市场的调节作用，逐步迈向共同富裕目标。