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...

In this paper we characterize the class of games for which the core coincides with the core cover (compromise stable games).Moreover we will develop an easy explicit formula for the nucleolus for this class of games, using an approach based on bankruptcy problems.Also the class of convex...

In this paper, we characterise the compromise value of a game as the barycentre of the edges of its core cover.For this, we introduce the value, which extends the adjusted proportional rule for bankruptcy situations and coincides with the compromise value on a large class of games.

This paper is a reaction on Ginsburgh and Zang (2003).It reconsiders the problem where a group of museums offer a pass such that the owner can visit these museums an unlimited number of times during a fixed period of time.The problem addressed is how to share the total joint income of this pass...

In this paper we introduce a new family of compromise solutions for the class of compromise admissible games.These solutions extend bankruptcy rules.In particular, we show that the compromise extension of the run-to-the-bank rule coincides with the barycentre of the core cover and characterise...

In this paper, we propose a new extension of the run-to-the-bank rule for bankruptcy situations to the class of multi-issue allocation situations.We show that this rule always yields a core element and that it satisfies self-duality. We characterise our rule by means of a new consistency...

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...