This paper employs a cooperative approach to insurance group formation problems. The insurance group formation is analyzed in terms of stability with respect to one-person deviations. Depending on the exact contractual setting, three stability concepts are proposed: individual, contractual and...

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...

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...

We introduce the class of Obligation Rules for Minimum Cost Spanning Tree Situations. The main result of this paper is that such rules are cost monotonic and induce also population monotonic allocation schemes. Another characteristic of Obligation Rules is that they assign to a minimum cost...

Interval bankruptcy problems arise in situations where an estate has to be liquidated among a fixed number of creditors and uncertainty about the amounts of the estate and the claims is modeled by intervals. We extend in the interval setting the classic results by Curiel, Maschler and Tijs...

The lexicographic vectors of a balanced game, called here leximals, are used to define a new solution concept, the lexicore, on the cone of balanced games. Properties of the lexicore and its relation with the core on some classes of games are studied. It is shown that on cones of balanced games...

In Borm, Keiding, McLean, Oortwijn and Tijs (1992) the compromise value is introduced as a solution concept on the class of compromise admissible NTU-games. Two characterizations of the compromise value are provided on subclasses of NTU-games. This note shows that in one of these...

The MC-value is introduced as a new single-valued solution concept for monotonic NTU-games. The MC-value is based on marginal vectors, which are extensions of the well-known marginal vectors for TU-games and hyperplane games. As a result of the definition it follows that the MC-value coincides...