A consistent talmudic rule for division problems with multiple references

M.A. Hinojosa ^[1] ; A.M. Mármol ^[2] ; F. Sánchez ^[1]
1. [1] Universidad Pablo de Olavide
  
  Universidad Pablo de Olavide
  
  Sevilla, España
2. [2] Universidad de Sevilla
  
  Universidad de Sevilla
  
  Sevilla, España
Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 20, Nº. 3, 2012, págs. 661-678
Idioma: inglés
Enlaces
- Texto completo 1 (pdf) 2

Resumen
- 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.