With the rapid development of autonomous driving technology, the advent of the autonomous driving era has become inevitable. An in-depth study of consumers’ willingness to purchase autonomous vehicles is critical to accelerating the adoption and commercialization of autonomous vehicles. By constructing a tripartite evolutionary game model of governments, automobile manufacturers, and consumers, we analyze the stable choice of unilateral strategy and equilibrium strategy of autonomous vehicle purchase intention. The MATLAB2022b tool was used for data simulation analysis to verify the validity of the conclusion and the influence of related factors on the purchase intention toward autonomous vehicles. The results show the following: (1) The combination of government support, active R&D, and consumer purchasing is the evolutionary stability strategy (ESS) of the model. (2) With an increase in government support, the probability of automobile enterprises taking the initiative to participate in R&D also increases. However, the negative impact of risk can significantly reduce the incentive for firms to conduct R&D and reduce the effectiveness of government support. (3) Government subsidies to consumers and purchase incentives offered by automotive companies can significantly increase the likelihood that consumers will purchase an autonomous vehicle. Based on these findings, recommendations are made to strengthen government support, establish risk mitigation mechanisms, and strengthen market promotion efforts to promote the commercialization of autonomous vehicles. The study provides a new perspective for understanding multi-party interactions in the rollout of autonomous vehicles and provides valuable insights for policymakers and industry stakeholders.