An Application of SPS Allocation

(Marjit & Sarkar, 2017) have proved the existence of a unique inequalitypreservingredistribution allocation in the contract curve. The allocation is provenfor those measures of inequalities which satisfy certain criterion. We investigatewhether their Strong Pareto Superior (SPS) allocation hold in a specialscenario, which moves away from their stated axioms. We find the evidence to thecontrary; however, the theoretical foundation for such an analysis remains an openquestion