Axioms and Divisor Methods for a Generalized Apportionment Problem with Relative Equality

The allocation of seats in a legislative body to groups based on their size is crucial issue legal and political studies. However, recent findings suggest that an optimal may not be proportional the groups. For instance, European Parliament (EP) utilizes subproportional system known as degressive proportionality. Unfortunately, current apportionment methods for EP lack rigorous axiomatic analysis fail adequately address equality. Building upon research equality settings, this paper proposed novel generalization existing axioms divisor proportionality encompass subproportionality with relative Specifically, we consider function f(p)=a+bpγ standard number group p, where a, b γ are given non-negative constants, integer. This theory exemplified through empirical study focused EP.