Table 1.

Summary of Variables and Notations

L	Stockpile of vaccines
|N|	Population size
ωi	Weight of individual i while computing efficiency
Xi	Vector of demographics for individual i
V(Xi)	Individual i’s priority, given Xi and fairness characterized by V(·)
α	A generic fairness degree in interval [0,1]
D	A generic vaccine allocation rule
PD,V(·)	Cumulative allocation function given allocation rule D and fairness V(·)
D_α(V)	Uniquely determined allocation rule whose fairness degree is α, given V(·)
$P_{\alpha }^V$	Cumulative allocation function of allocation rule D_α(V)