Potentializability and consistency for multi-choice solutions

• Autores: Yan-An Hwang, Yu-Hsien Liao
• Localización: Spanish economic review, ISSN 1435-5469, Vol. 10, Nº 4, 2008, págs. 289-301
• Idioma: inglés
• DOI: 10.1007/s10108-007-9039-x
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• Resumen

  • The paper introduces and discusses several characterizations of the multi-choice Shapley value (introduced by Nouweland et al. in ZOR-Math Methods Oper Res 41:289–311, 1995), on the domain of multi-choice games. These characterizations generalize the potential approach and results of Calvo and Santos (Math Soc Sci 34:175–190, 1997) into this domain, and the relations are treated with the axiomatic approach in Calvo and Santos (Math Soc Sci 40:341–354, 2000). Also, based on the axioms of two-person standardness and consistency, we offer an axiomatization of the multi-choice Shapley value.

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