This paper follows the interpretation of the bankruptcy problems in terms of TU games given in O'Neill (1982). In this context we propose the analysis of the Transition Game associated to each bankruptcy problem. We explore an old solution described by Ibn Ezra in the XII century. Firstly, we...

It is well known that, in distributions problems, "Fairness" rarely leads to a single viewpoint (see Young (1994) and Moulin (1988) among many others). This paper provides, in this context, interesting basis in defense of intermediate agreements when two prominent proposals, representing...

In a distribution problem, and specifically in bankruptcy issues, the Proportional (P) and theEgalitarian (EA) divisions are two of the most popular ways to resolve the conflict. TheConstrained Equal Awards rule (CEA) is introduced in bankruptcy literature to ensure that noagent receives more...

Thinking of electoral rules, common wisdom suggests that proportional rule is more fair, since all voters are equally represented: at times, it turns out that this is false. I study the formation of both Parliament and Government; for the composition of the former I consider plurality and...

As it is known, there is no rule satisfying Additivity on the complete domain of bankruptcy problems. This paper proposes a notion of partial Additivity in this context, to be called µ-Additivity. We find that µ-Additivity, together with two quite compelling axioms, Anonymity and Continuity,...

This paper examines a situation in which the production activities of different agents, in a common geographical location, create waste products that are either of a similar biological or chemical composition or offer commercially compatible combinations. What we propose here, therefore, is a...

This paper focuses on the probabilistic point of view and proposes a extremely simple probabilistic model that provides a single and simple story to account for several extensions of the Shapley value, as weighted Shapley values, semivalues, and weak (weighted or not) semivalues, and the Shapley...

The solution for the "Contested Garment Problem" proposed in the BabylonicTalmud, one of the most important sources of inspiration for solving situations where demand overcomes supply of some resources, suggests that each agent should receive at least some part of the available amount when...

How should scholarships be distributed among the (public) higher education students? We raise thissituation as a redistribution problem. Following the approach developed in Fleurbaey (1994) andBossert (1995), redistribution should be based on the notion of solidarity and it re-allocates...

In this paper we use two different sets of Commonly Accepted Equity Principles to provide new characterizations of well known bankruptcy rules from an strategic viewpoint. In this sense, we extend the results obtained by Chun, 1989, and Herrero, 2003, who followed the van Damme's approach, 1986,...