Facultade de Fisioterapia

The least square nucleolus is a normalized Banzhaf value

Alonso-Meijide, José M.; Álvarez-Mozos, Mikel; Fiestras Janeiro, María Gloria
Abstract:
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
Year:
2015
Type of Publication:
Article
Keywords:
Coalitional games; Banzhaf value; Efficiency; Least square nucleolus
Journal:
Optimization Letters
Volume:
9
Number:
7
Pages:
1393-1399
Month:
October
DOI:
http://dx.doi.org/10.1007/s11590-014-0840-9
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