Compromise Solutions for Bankruptcy Situations with References

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 games.We apply our solutions to a real-life case of allocating university money to degree courses.bankruptcy;allocation;t-value;games

Allocation rules incorporating interval uncertainty

This paper provides several answers to the question “How to cope with rationing problems with interval data?” Interval allocation rules which are efficient and reasonable are designed, with special attention to interval bankruptcy problems with standard claims and allocation rules incorporating the interval uncertainty of the estate.allocation rules, bankruptcy, interval uncertainty

Shapley-like values for interval bankruptcy games

In this paper interval bankruptcy games arising from bankruptcy situations with interval claims are introduced. For this class of cooperative games two (marginal-based) Shapley-like values are considered and the relation between them is studied.

Compromise Solutions Based on Bankruptcy

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 this rule by consistency.We also provide a characterisation of the TAL-family of rules.bankruptcy;games

How to Cope with Division Problems under Interval Uncertainty of Claims?

The paper deals with division situations where individual claims can vary within closed intervals.Uncertainty of claims is removed by compromising in a consistent way the upper and lower bounds of the claim intervals.Deterministic division problems with compromise claims are then considered and classical division rules from the bankruptcy literature are used to generate several procedures leading to e .cient and reasonable rules for division problems under interval uncertainty of claims.uncertainty;claims;division problems

A Compromise Stable Extension of Bankruptcy Games: Multipurpose Resource Allocation

This paper considers situations characterized by a common-pool resource, which needs to be divided among agents. Each of the agents has some claim on this pool and an individual reward function for assigned resources. This paper analyzes not only the problem of max- imizing the total joint reward, but also the allocation of these rewards among the agents. Analyzing these situations a new class of transferable utility games is introduced, called multipurpose resource games. These games are based on the bankruptcy model, as intro- duced by O'Neill (1982). It is shown that every multipurpose resource game is compromise stable. Moreover, an explicit expression for the nucleolus of these games is provided.bankruptcy games;compromise stability;nucleolus