In this paper, we analyze sequential bankruptcy problems, which generalize bankruptcy problems. They contain the problems of sharing water in a transboundary river and of allocating expedition rewards in projects. We provide three mechanisms for generalizing rules for bankruptcy problems to...

This paper axiomatically studies bankruptcy problems with nontransferable utility by adequately generalizing and analyzing properties for bankruptcy rules. In particular, we discuss several consistency notions and introduce the class of parametric bankruptcy rules. Moreover, we introduce the...

In this paper, we analyze sequential bankruptcy problems, which generalize bankruptcy problems. They contain the problems of sharing water in a trans-boundary river and of allocating expedition rewards in projects. We provide three mechanisms for generalizing rules for bankruptcy problems to...

In this paper, we consider a sequential allocation problem with n individuals. The first individual can consume any amount of a resource, leaving the remainder for the second individual, and so on. Motivated by the limitations associated with the cooperative or non-cooperative solutions, we...

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...

The concede-and-divide rule is a basic solution for bankruptcy problems with two claimants. An extension of the concede-and-divide rule to bankruptcy problems with more than two claimants is provided.This extension not only uses the concede-and-divide principle in its procedural definition, but...