I prove that there exists no assignment mechanism that is strategy-proof, non-wasteful and satisfies equal treatment of equals. This strengthens the impossibility result of Bogomolnaia and Moulin (2001) by weakening their assumption of ordinal efficiency to non-wastefulness. My result solves an...

We consider situations where a society allocates a finite units of an indivisible good among agents, and each agent receives at most one unit of the good. For example, imagine that a government allocates a fixed number of licences to private firms, or imagine that a government distributes...