Extension of axiomatic framework for resource allocation strategies for varying number of users in a wireless system

Collective choice functions and an axiomatic framework will be utilized to show that, if a wireless operator wants it's resource allocation strategy to satisfy the axioms emulating the properties of efficiency, robustness and stability to varying number of users, then it can only opt for the max-min balancing solution or more specifically the egalitarian solution. For this purpose, feasible utility sets will be characterized as level sets of general interference functions and general stability constraints will be introduced. Solution outcomes will be characterized for comprehensive, compact sets.