A minimum cost spanning tree problem analyzes the way to efficiently connect agents to a source when they are located at different places. Once the efficient tree is obtained, the total cost should be allocated among the involved agents in a fair and stable manner. It is well known that there...

There are many real-world examples where decisions are made by a committee rather than all of the members of a court, legislature, or other body. The members of such committees are usually chosen either using random selection or using direct selection by a designated authority. However, neither...

Situations where decisions are made by a committee rather than the entire society are quite common in the real world. When selecting a committee that decides for an entire body of members of a society (a court, legislature, etc.) there are two usual methods: random selection and direct selection...

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...

This paper introduces the Compromise rule for cost sharing problems. This rule fairly combines the equity and the growth-encouraging key principles. The way in which it is described also allows to endogenously identify the agents belonging to a "middle class" depending on how the costs of...

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...