Mediation is a dispute resolution process whereby agents reach a mutually acceptable agreement among different proposals that satisfy a set of principles. This paper provides a natural way of coming to such agreements in claims problems. In our approach, mediation combines (i) a set of fair...

For the adjudication of conflicting claims, we develop three general approaches to obtain Lorenz rankings of rules. Our first approach concerns a parameterized family that contains several important rules (Thomson in Soc Choice Welf 31:667–692, <CitationRef CitationID="CR28">2008</CitationRef>). We give a condition that the parameters...</citationref>

A group of agents have claims on a resource, but there is not enough of the resource to honor all of the claims. How should it be divided? We survey the recent game theoretic approaches that have been followed in solving such "claims problems".

We investigate the existence of consistent rules for the resolution of conflicting claims that generalize the Talmud rule but do not necessarily satisfy equal treatment of equal. The first approach we follow starts from the description of the Talmud rule in the two-claimant case as...