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The reverse self-dual serial cost-sharing rule
(Departamento de Economía Aplicada IV, UPV-EHU, 2012)
In this study we define a cost sharing rule for cost sharing
problems. This rule is related to the serial cost-sharing rule defined by Moulin
and Shenker (1992). We give some formulas and axiomatic characterizations
for ...
Intermediate serial cost-sharing rules
(Departamento de Economía Aplicada IV, UPV/EHU, 2014)
In this paper we give a generalization of the serial cost-sharing rule defined by Moulin and Shenker (1992) for cost sharing problems. According to the serial cost sharing rule, agents with low demands of a good pay cost ...
Admissible Hierachic Sets
(2005-05)
In this paper we present a solution concept for abstract systems called the admissible hierarchic set. The solution we propose is a refinement of the hierarchic solution, a generalization of the von Neumann and Morgenstern ...
The Stability of the Roommate Problem Revisited
(2007-09)
The lack of stability in some matching problems suggests that alternative solution concepts to the core might be applied to find predictable matchings. We propose the absorbing sets as a solution for the class of roommate ...
The Supercore for Normal Form Games
(2003-10)
We study the supercore of a system derived from a normal form game. For the case of a finite game with pure strategies, we define a sequence of games and show that the supercore of that system coincides with the set of ...
The von Neumann-Morgenstern stable sets for 2x2 games
(Departamento de Fundamentos del Análisis Económico IDepartamento de Economía Aplicada IV, 2012-11)
We analyze the von Neumann and Morgenstern stable sets for the mixed extension of 2 2 games when only single profitable deviations are allowed. We show that the games without a strict Nash equilibrium have a unique vN&M ...
An axiomatization of success
(2011)
In this paper we give an axiomatic characterization of three families of measures of success defined by Laruelle and Valenciano (2005) for voting rules.
A common axiom for classical division rules for claims problems
(Departamento de Economía Aplicada IV, UPV/EHU, 2015)
In this paper we introduce a new axiom, denoted claims separability, that is satisfied by several classical division rules defined for claims problems. We characterize axiomatically the entire family of division rules that ...
A potential approach to claims problems
(Departamento de Economía Aplicada IV, UPV/EHU, 2015)
Hart and Mas Colell (1989) introduce the potential function for cooperative TU games. In this paper, we extend this approach to claims problems, also known as bankruptcy or rationing problems. We show that for appropriate ...
The minimal overlap cost sharing rule
(Departamento de Economía Aplicada IV, UPV/EHU, 2015)
In this paper we introduce a new cost sharing rule-the minimal overlap cost sharing rule-which is associated with the minimal overlap rule for claims problems defined by O'Neill (1982). An axiomatic characterization is ...