RT Journal Article T1 On the 1-nucleolus A1 Estévez Fernández, Arantza A1 Borm, Peter A1 Fiestras Janeiro, Maria Gloria A1 Mosquera Rodríguez, Manuel Alfredo A1 Sánchez Rodríguez, María Estela K1 1207.06 Teoría de Juegos AB 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. PB Mathematical Methods of Operations Research SN 14322994 YR 2017 FD 2017-10 LK http://hdl.handle.net/11093/1184 UL http://hdl.handle.net/11093/1184 LA eng NO Mathematical Methods of Operations Research, 86(2): 309-329 (2017) NO Ministerio de Ciencia e Innovación | Ref. MTM2011-27731-C03 DS Investigo RD 03-oct-2023