Structure of solutions of resource allocation problems under general fairness constraints

Collective choice functions and an axiomatic framework will be used to characterize the structure of solutions of resource allocation problems on feasible utility sets. Feasible utility sets will be characterized as level sets of general interference functions. General fairness constraints will be introduced and solution outcomes satisfying the properties of efficiency, robustness and fairness will be analyzed. A new type of sets, basic bargaining sets will be defined and if the properties of the solution outcome are known on these sets then we know it's properties for all feasible utility regions.