Heterogeneous-population extensions
Generalize the epidemic Stackelberg mean-field game with budget dynamics to multi-population mean-field games or finite-state graphon games in order to capture population heterogeneity.
References
Several interesting directions remain open for future work. First, regarding model formulation, we simplify individual vaccination uptake by treating it as a decision made directly by the principal, in order to focus on the allocation of budget between social distancing and vaccination. A natural extension is to incorporate individual decision-making on vaccination. Second, the budget state process in the current framework is deterministic. Introducing noise into the budget dynamics may capture the uncertainty that arises from public health resource allocation and policy implementation in practice, we plan to address this situation in the general model form. Third, this framework could be generalized to multi-population MFGs or to finite-state graphon games to capture the heterogeneities in the population.