In a bankruptcy situation individuals are not equally affected since each one has its own specific characteristics. These aspects cannot be ignored and may justify an allocation bias in favor of or against some individuals. This paper develops a theory of differentiation in claims problems that...

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 consider the problem of adjudicating conflicting claims, and characterize the family of rules satisfying four standard invariance requirements, homogeneity, two composition properties, and consistency. It takes as point of departure the characterization of the family of two-claimant rules...

In distribution problems, and specifically in bankruptcy issues, the Proportional (P) and the Egalitarian (EA) divisions are two of the most popular ways to resolve the conflict. Nonetheless, when using the egalitarian division, agents may receive more than her claim. We propose a compromise...

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...

We study claims problems with indivisible goods. Due to indivisibilities, in certain situations, two agents with equal claims may have to receive unequal amounts. Our main goal is to find rules that deal with these situations in a consistent way. We propose three “systematic favorability”...

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>