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On the 1-nucleolus
Estévez-Fernández ,M.A. Borm,Peter Fiestras Mosquera Sanchez
Estévez-Fernández ,M.A.
Borm,Peter
Fiestras
Mosquera
Sanchez
Abstract
This paper analyzes the 1-nucleolus and, in particular, its relation to the nucleolus. It is seen that, contrary to the nucleolus, the 1-nucleolus can be computed in polynomial time due to a characterization using a combination of standard bankruptcy rules for associated bankruptcy problems. Sufficient conditions on a compromise stable game are derived such that the 1-nucleolus and the nucleolus coincide.
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2017-10
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On_the_1_nucleolus.pdf
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1-nucleolus, compromise stable games, Aumann-Maschler rule, nucleolus
Citation
Estévez-Fernández , M A, Borm, P, Fiestras, Mosquera & Sanchez 2017, 'On the 1-nucleolus', Mathematical Methods of Operations Research, vol. 86, no. 2, pp. 309-329. https://doi.org/10.1007/s00186-017-0597-x
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info:eu-repo/semantics/openAccess