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The Least Square Nucleolus is a Normalized Banzhaf Value
Alonso Meijide, José María; Álvarez-Mozos, Mikel; Fiestras-Janeiro, M. Gloria, 1962-
Universitat de Barcelona
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 (Ruiz et al., 1996). 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 (Ruiz et al., 1998b).
Teoria de jocs
Teoria de l'estimació
Jocs cooperatius (Matemàtica)
Presa de decisions (Estadística)
Game theory
Estimation theory
Cooperative games (Mathematics)
Statistical decision
(c) Springer Verlag, 2014
Artículo
info:eu-repo/semantics/acceptedVersion
Springer Verlag
         

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