A consistent talmudic rule for division problems with multiple references

M. Hinojosa (), A. Mármol () and F. Sánchez

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2012, vol. 20, issue 3, 678 pages

Abstract: 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. Copyright Sociedad de Estadística e Investigación Operativa 2012

Keywords: Division problems; Multiple references; Cooperative games; Talmud rule; 91A06; 91A12; 91B32 (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (6)

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DOI: 10.1007/s11750-010-0158-4

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