A consistent talmudic rule for division problems with multiple references

We consider an extension of the classic division problem with claims, division problems with multiple references. We show that the theory of cooperative games is able to provide a single-valued allocation rule for this class of problems. Moreover, this rule can be related with the Talmud rule for th...

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Detalles Bibliográficos
Autores: Hinojosa Ramos, Miguel Ángel, Mármol Conde, Amparo María, Sánchez, F.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2012
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/137913
Acceso en línea:https://hdl.handle.net/11441/137913
https://doi.org/10.1007/s11750-010-0158-4
Access Level:acceso abierto
Palabra clave:Division problems
Multiple references
Cooperative games
Talmud rule
Descripción
Sumario:We consider an extension of the classic division problem with claims, division problems with multiple references. We show that the theory of cooperative games is able to provide a single-valued allocation rule for this class of problems. Moreover, this rule can be related with the Talmud rule for the classic division problem, as in Aumann and Maschler (J. Econ. Theory 36, 195–213, 1985). Finally, we establish the consistency and other basic properties of the rule