We consider multiple-type housing markets. To capture the dynamic aspect of trade in such markets, we study a dynamic recontracting process similar to the one introduced by Serrano and Volij (2008). First, we analyze the set of recurrent classes of this process as a (non-empty) solution concept....

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,...