Axiomatic Characterization of Resource Allocation and Social Welfare Orderings for centralized wireless communication

The resource allocation problem in wireless systems with full cooperation will be characterized using collective choice functions and an axiomatic framework. The axiomatic framework will be used to characterize different properties of the operating point of resource allocation strategies (e.g. efficiency, robustness). A new axiom of comparability will be introduced and the conditions under which it is equivalent the axiom of independence of irrelevant alternatives will be stated. It will be shown that for a certain family of feasible utility sets it is not possible to obtain a rationalizable resource allocation strategy, which satisfies the properties of efficiency, robustness and independence of irrelevant alternatives.