Fairness Properties of Constrained Market Equilibria

This paper studies the notion of fairness in pure exchange economies involving uncertainty and asymmetric information. We propose a new concept of coalitional fair allocation in order to solve the tension that may exist between efficiency and envy-freeness when the equity of allocations is evaluated at the {\it interim} stage. Some characterizations of constrained market equilibria are derived extending the analysis to economies that have both an atomic and an atomless sector.