This paper introduces a new way of representing bankruptcy rules.These representations are used to show that the minimal overlap rule is a composition of the Ibn Ezra rule and the constrained equal losses rule.The residual minimal overlap rule is analysed as an alternative extension of the Ibn...

In this paper, we provide four extensions of the constrained equal award rule for bankruptcy situations to the class of bankruptcy situations with a priori unions. We present some characterisations and relations with corresponding games. The four new extensions are illustrated by a specific...

This paper deals with bankruptcy situations in which in addition to the claims, an exogenously given reference point for the allocation of the estate is present.We introduce and analyse two types of compromise solutions and show that they coincide with the T value of two corresponding TU...

This paper revisits the Alexia value, a recent solution concept for cooperative transferable utility games. We introduce the dual Alexia value and show that it coincides with the Alexia value for several classes of games. We demonstrate the importance of the notion of compromise stability for...

Abstract: This paper introduces liability problems, as a generalization of bankruptcy problems, where every agent not only owns a certain amount of cash money, but also has outstanding claims and debts towards the other agents. Assuming that the agents want to cash their claims, we will analyze...