This is the true story of the actual use of a formal, decentralized division procedure to allocate silver heirlooms among eight grandchildren fairly and efficiently without distasteful direct monetary payments. Each grandchild's stated preferences for objects in contention were roughly...

This article examines the extent to which utilitarian social welfare maximization results in an egalitarian outcome for the classic n-agent cake-cutting problem when the agents are characterized by heterogenous subsistence needs as well as by heterogeneous tastes. It is shown that utilitarian...

We review the theory of fairness as it pertains to concretely specified problems of resource allocations. We present punctual notions designed to evaluate how well individuals, or groups, are treated in relation to one another: no-envy, egalitarian-equivalence, individual and collective lower or...