本文研究了在疫情期间嵌入疫苗成本-效果和二元博弈的动态疫苗接种博弈模型,从进化的角度假设个体之间合作的出现。个体状态的感染动态遵循修改的S/VIS(易感/接种-感染-易感)动态。最初,我们假设个体不确定他们的感染状况。因此,他们根据邻居的看法来决定他们的选择,这种疾病的患病率,以及现有疫苗的特点。然后,我们考虑策略更新过程IBRA(基于个人的风险评估),该过程涉及根据邻居的决定进行的个人接种疫苗。从社会困境的角度来看,提出了社会效率赤字的思想,通过考虑疫苗决策,找到基于困境强度的社会最优与纳什均衡点之间的差距。成本和合作行为取决于疾病的严重程度,邻居的态度,和疫苗特性,以获得控制传染病的降阶最优解。疫苗因素(效率,成本,和利益)对于改变人类疫苗决策和合作行为至关重要。事实证明,即使在囚徒困境中,所有叛逃的态度都发生在那里,疫苗摄取(合作)增加。最后,进行了广泛的数值研究,说明了有趣的现象,并调查了流行病的最终程度,疫苗接种覆盖率,平均社会福利,以及关于最优策略和个体动态疫苗态度的社会效率缺陷。PACS号码。理论和建模;计算机仿真,87.15.Aa;进化动力学,87.23.
This paper studies a dynamic vaccination game model embedded with vaccine cost-effectiveness and dyadic game during an epidemic, assuming the appearance of cooperation among individuals from an evolutionary perspective. The infection dynamics of the individuals\' states follow a modified S/VIS (susceptible/vaccinated-infected-susceptible) dynamics. Initially, we assume that the individuals are unsure about their infection status. Thus, they make decisions regarding their options based on their neighbors\' perceptions, the prevalence of the disease, and the characteristics of the available vaccines. We then consider the strategy updating process IBRA (individuals-based risk assessment) concerning an individual\'s committing vaccination based on a neighbor\'s decision. In the perspective of social dilemma, it presents the idea of social efficiency deficit to find the gap between social optimum and Nash equilibrium point based on dilemma strength by considering vaccine decision. The cost and cooperative behavior depend on disease severity, neighbor\'s attitude, and vaccine properties to obtain a reduced-order optimal solution to control infectious diseases. Vaccine factors (efficiency, cost, and benefit) are crucial in changing human vaccine decisions and cooperative behavior. It turns out that, even in the prisoner\'s dilemma case, where all defection attitude occurs, vaccine uptake (cooperation) increases. Finally, extensive numerical studies were presented that illustrate interesting phenomena and investigate the ultimate extent of the epidemic, vaccination coverage, average social benefits, and the social efficiency deficit concerning optimal strategies and the dynamic vaccine attitudes of individuals. PACS numbers. Theory and modeling; computer simulation, 87.15. Aa; Dynamics of evolution, 87.23. Kg.