On the impossibility of an envy-free Paretian liberal

This paper examines a close parallel between the theory of fairness and Harel and Nitzan's original definition of non-exchangeable rights system. Several independent definitions of fair rights assignment are proposed, and some new impossibility as well as possibility results are established.For helpful discussions I would like to thank Rajat Deb, Shlomo Weber and Hans Wiesmeth. I am also indebted to two anonymous referees of thisJournal for their valuable comments.