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...