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https://hdl.handle.net/2445/62904| Title: | The Least Square Nucleolus is a Normalized Banzhaf Value |
| Author: | Alonso-Meijide, José Mª Álvarez-Mozos, Mikel Fiestras-Janeiro, M. Gloria, 1962- |
| Keywords: | Teoria de jocs Teoria de l'estimació Jocs cooperatius (Matemàtica) Presa de decisions (Estadística) Game theory Estimation theory Cooperative games (Mathematics) Statistical decision |
| Issue Date: | 16-Dec-2014 |
| Publisher: | Springer Verlag |
| 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). |
| Note: | Versió postprint del document publicat a: http://dx.doi.org/10.1007/s11590-014-0840-9 |
| It is part of: | Optimization Letters, 2015, vol. 9, num. 7, p. 1393-1399 |
| URI: | https://hdl.handle.net/2445/62904 |
| Related resource: | http://dx.doi.org/10.1007/s11590-014-0840-9 |
| ISSN: | 1862-4472 |
| Appears in Collections: | Articles publicats en revistes (Matemàtica Econòmica, Financera i Actuarial) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| 646291.pdf | 372.01 kB | Adobe PDF | View/Open |
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