The Constrained Equal Awards and Equal Losses rules are traditional ways to solve bankruptcy problems. These rules are characterized by two parameters α and β that represent, respectively, the maximum amount a claimant receives, or the maximum amount a claimant loses. Moreover, these rules...

Agents involved in a conflicting claims problem may be concerned with the proportion of their claims that is satisfied, or with the total amount they get. In order to relate both perspectives, we associate to each conflicting claims problem a bargaining-in-proportions set. Then, we obtain a...

Agents involved in a conflicting claims problem may be concerned with the proportion of their claims that is satisfied, or with the total amount they get. In order to relate both perspectives, we associate to each conflicting claims problem a bargaining-in-proportions set. Then, we obtain a...

A new voting rule for electing committees is described. Specifically, we use approval balloting and propose a voting procedure guaranteeing that if a committee representing (in a determined proportion) all voters exists, then the selected committee has to represent all voters at least in the...

In a distribution problem, and speci fically in bankruptcy issues, the Proportional (P) and the Egalitarian (EA) divisions are two of the most popular ways to resolve the conflict. The Constrained Equal Awards rule (CEA) is introduced in bankruptcy literature to ensure that no agent receives...

We s tudy minimum cost spanning tree problems for a given set of users connected to a source. We propose a rule of sharing such that each user may pay her cost for such a tree plus an additional amount to the others users . A reduction of her cost appears as a compensation from the other users....

If we analyze the notion of stability (von Neumann and Morgenstern, 1944) it seems a desirable property to be fulfilled by any choice function. Paradoxically, the usual Condorcet choice functions (maximal set, top cycle, uncovered set, minimal covering, ...) are not stable in the VNM sense. In...

In 1950, Nash's seminal paper introduced the axiomatic approach to the analysis of bargaining situations. Since then, many bargaining solutions have appeared and been axiomatically analyzed. The fact that agents, when face a bargaining problem, can come up with different solution concepts (that...

How should scholarships be distributed among the (public) higher education students? We raise this situation as a redistribution problem. Following the approach developed in Fleurbaey (1994) and Bossert (1995), redistribution should be based on the notion of solidarity and it reallocates...