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On the Owen Value and the Property of Balanced Contributions Within Unions

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  • Silvia Lorenzo-Freire

    (Universidade da Coruña)

Abstract

This framework mainly focuses on the study of the Owen value and one property satisfied by many coalitional values, in particular by the Owen value. The property is called the property of balanced contributions within unions, and it was first defined by Vázquez-Brage et al. The main results of the work are divided into two parts. First, an expression for the coalitional values that verify the property is obtained. Second, the Owen value is characterized based on this property and other relevant properties.

Suggested Citation

  • Silvia Lorenzo-Freire, 2019. "On the Owen Value and the Property of Balanced Contributions Within Unions," Journal of Optimization Theory and Applications, Springer, vol. 183(2), pages 757-762, November.
    • Handle: RePEc:spr:joptap:v:183:y:2019:i:2:d:10.1007_s10957-019-01551-6
    DOI: 10.1007/s10957-019-01551-6
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    References listed on IDEAS

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    1. Calvo, Emilio & Javier Lasaga, J. & Winter, Eyal, 1996. "The principle of balanced contributions and hierarchies of cooperation," Mathematical Social Sciences, Elsevier, vol. 31(3), pages 171-182, June.
    2. Silvia Lorenzo-Freire, 2017. "New characterizations of the Owen and Banzhaf–Owen values using the intracoalitional balanced contributions property," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(3), pages 579-600, October.
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