Facultade de Fisioterapia

On the 1-nucleolus

Estévez Fernández, A.; Borm, P.; Fiestras Janeiro, María Gloria; Mosquera Rodríguez, Manuel Alfredo; Sánchez Rodríguez, Maria Estela
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.
Year:
2017
Type of Publication:
Article
Keywords:
1-nucleolus; Compromise stable games; Nucleolus; Aumann - Maschler rule
Journal:
Mathematical Methods of Operations Research
Volume:
86
Number:
2
Pages:
309-329
Month:
October
DOI:
https://doi.org/10.1007/s00186-017-0597-x
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