Calleja, PereLlerena Garrés, FrancescSudhölter, Peter2020-10-232020-10-232020-080364-765Xhttps://hdl.handle.net/2445/171456A solution on a set of transferable utility (TU) games satisfies strong aggregate monotonicity (SAM) if every player can improve when the grand coalition becomes richer. It satisfies equal surplus division (ESD) if the solution allows the players to improve equally. We show that the set of weight systems generating weighted prenucleoli that satisfy SAM is open, which implies that for weight systems close enough to any regular system, the weighted prenucleolus satisfies SAM (...)13 p.application/pdfeng(c) Institute for Operations Research and Management Sciences, 2020Jocs cooperatius (Matemàtica)Teoria de jocsCooperative games (Mathematics)Game theoryinfo:eu-repo/semantics/article6991112020-10-23info:eu-repo/semantics/openAccess