Multi-unit Assignment under Dichotomous Preferences.

I study the problem of allocating objects among agents without using money.Agents can receive several objects and have dichotomous preferences, meaningthat they either consider objects to be acceptable or not. In this setup, theegalitarian solution is more appealing than the competitive equilibrium withequal incomes because it is Lorenz dominant, unique in utilities, and groupstrategy-proof. Moreover, it can be adapted to satisfy a new fairness axiomthat arises naturally in this context. Both solutions are disjoint.