We introduce ex-ante Pareto efficiency, which is a slightly weaker notion of efficiency than ex-post Pareto efficiency …. We strengthen the impossibility between ex-post Pareto efficiency, strategyproofness, and envy-freeness in the random … assignment problem and show that it prevails if ex-post Pareto efficiency is weakened to ex-ante Pareto efficiency …

This paper examines and compares mechanisms for finding Pareto optimal solutions to a many-to-many allocation problem …. By explicitly introducing preference ordering and providing linear programming representations of the allocation problem … equilibrium problem, and show that under certain conditions this Nash equilibrium allocation is also Pareto optimal. We examine …