Geodesic
A New Prospect of Additivity in Bankruptcy Problems
Contributions to game theory and management, Tome 3 (2010), pp. 8-21

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As is known, there is no rule satisfying Adittivity on the complete domain of bankruptcy problems. This paper explores some Partial-Adittivity properties in this context. We determine that Adittivity restricted to bankruptcy problems which in some way keep the conflictivity of the creditors' claims fixed is compatible with certain bankruptcy rules. Our main result is that the proposed Adittivity property, together with two quite compelling axioms, Anonymity and Continuity, identify the Minimal Overlap rule, introduced by O'Neill (1982).
Keywords: Bankruptcy problems; Additivity; Minimal Overlap rule. 
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     author = {Jos\'e Alcalde and Mar{\'\i}a del Carmen Marco-Gil and Jos\'e A. Silva},
     title = {A {New} {Prospect} of {Additivity} in {Bankruptcy} {Problems}},
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     url = {http://geodesic.mathdoc.fr/item/CGTM_2010_3_a1/}
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José Alcalde; María del Carmen Marco-Gil; José A. Silva. A New Prospect of Additivity in Bankruptcy Problems. Contributions to game theory and management, Tome 3 (2010), pp. 8-21. http://geodesic.mathdoc.fr/item/CGTM_2010_3_a1/