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The least square nucleolus is a normalized Banzhaf value

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The least square nucleolus is a normalized Banzhaf value

Alonso Meijide, José María; Álvarez Mozos, Mikel; Fiestras Janeiro, Maria Gloria
 
DATE : 2015-10
UNIVERSAL IDENTIFIER : http://hdl.handle.net/11093/1056
UNESCO SUBJECT : 1207.06 Teoría de Juegos
DOCUMENT TYPE : article

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 [6].

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