Since the outbreak of COVID-19, the impact of small and medium-sized service enterprises has been particularly strong. Based on the background that local government and small and medium-sized service enterprises jointly issue consumption vouchers to deal with the epidemic situation, this paper constructs a tripartite evolutionary game model of local government, small and medium-sized service enterprises and consumers, and studies the influence factors of government paid subsidies, credibility, consumption voucher deduction amount and other factors on the strategies of each stakeholder, in order to realize the benign cooperation between local governments and small and medium-sized service enterprises, stimulate consumption and benefit the people. The results show that under the government paid support strategy, the subsidy amount is low, and the paid support strategy has a greater impact on the credibility, which will prompt the government to choose paid support for enterprises; Under the positive self-help strategy, the enterprises are more willing to adhere to the positive self-help strategy with higher paid subsidies and less deduction for consumption vouchers; The impact of consumption vouchers on the actual consumption amount of consumers is small, and the positive self-help enterprises have more deductions for consumption vouchers, which will encourage consumers to choose voucher consumption; The implementation of differentiated support policies, combined with the accurate issuance of consumption vouchers, can promote economic recovery.