We consider the sharing of the cost of producing a homogeneous good when the technology has variable returns and individuals have arbitrary demands. We give a full analytical description of the family of costsharing methods that allocate costs in proportion to demands when returns are constant,...

We study manipulability of multi-valued solutions in fair allocation of homogeneous indivisible objects with monetary transfers. We show that the no-envy solution satisfies some extension of strategy-proofness to multi-valued solutions. Since no-envy implies Pareto efficiency in this literature,...

The study of matching theory has gained importance recently with applications in Kidney Exchange, House Allocation, School Choice etc. The general theme of these problems is to allocate goods in a fair manner amongst participating agents. The agents generally have a unit supply/demand of a good...