期刊
OPTIMIZATION LETTERS
卷 9, 期 7, 页码 1393-1399出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s11590-014-0840-9
关键词
Coalitional games; Banzhaf value; Efficiency; Least square nucleolus
资金
- Ministerio de Ciencia e Innovacion [MTM2011-27731-C02, MTM2011-27731-C03]
- Generalitat de Catalunya [2014SGR40]
In this note we study a truncated additive normalization of the Banzhaf value. We are able to show that it corresponds to the least square nucleolus (LS-nucleolus), which was originally introduced as the solution of a constrained optimization problem [4]. Thus, the main result provides an explicit expression that eases the computation and contributes to the understanding of the LS-nucleolus. Lastly, the result is extended to the broader family of individually rational least square values [6].
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