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2014-12-16

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/62904

The Least Square Nucleolus is a Normalized Banzhaf Value

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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 (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).

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http://dx.doi.org/10.1007/s11590-014-0840-9

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Teoria de jocs, Teoria de l'estimació, Jocs cooperatius (Matemàtica), Presa de decisions (Estadística)

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Game theory, Estimation theory, Cooperative games (Mathematics), Statistical decision

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Articles publicats en revistes (Matemàtica Econòmica, Financera i Actuarial)

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ALONSO-MEIJIDE, José Mª, ÁLVAREZ-MOZOS, Mikel and FIESTRAS-JANEIRO, M. Gloria. The Least Square Nucleolus is a Normalized Banzhaf Value. Optimization Letters. 2015. Vol. 9, num. 7, pags. 1393-1399. ISSN 1862-4472. [consulted: 8 of October of 2026]. Available at: https://hdl.handle.net/2445/62904

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