The authors study fair allocation in economies with indivisible goods. They look for subsolutions of the no-envy solution satisfying the property of consistency which says that the desirability of an allocation for some economy is unaffected by the departure of some of the agents with their...

This paper questions the interpretation of the Nash bargaining solution. A new definition is suggested. Revisions of Nash axioms characterize the solution. The definition makes possible its extension to non-expected-utility preferences. It also reveals the logic behind the comparative statics of...

The authors consider the problem of allocating a bundle of commodities among a group of agents who are collectively entitled to them. It is proved that, for an atomless economy with possibly satiated preferences, any solution that is efficient, equitable, and consistent must select allocations...