We consider the problem of allocating a social endowment of private goods among a group of n agents with linear preferences. We search for rules that satisfy three standard requirements. First is (Pareto-)efficiency. Second is the fairness requirement of “equal treatment of equals” (in...

In a voting model where the set of feasible alternatives is a subset of a product set $A = A_1\times\cdots\ldots{}A_m$ of $m$ finite categories, we characterize the set of all strategy-proof social choice functions for three different types of preference domains over $A$, namely for the domains...