@techreport{204634564c2945eb91930645813d677b,
title = "Monotonic Allocation Schemes in Clan Games",
abstract = "Total clan games are characterized using monotonicity, veto power of the clan members, and a concavity condition reflecting the decreasing marginal contribution of non-clan members to growing coalitions.This decreasing marginal contribution is incorporated in the notion of a bi-monotonic allocation scheme, where the value of each coalition is divided over its members in such a way that the clan members receive a higher, and the non-clan members a lower share as the coalitions grow larger.Each core element of a total clan game can be extended to both a population monotonic and a bi-monotonic allocation scheme.In total clan games where the clan consists of a single member (the so-called big boss) the use of the nucleolus as an allocation mechanism gives rise to a bi-monotonic allocation scheme.",
keywords = "cooperative games, population monotonic allocation scheme, bi-monotonic allocation scheme, clan games, big boss games",
author = "M. Voorneveld and S.H. Tijs and S. Grahn",
note = "Pagination: 12",
year = "2000",
language = "English",
volume = "2000-80",
series = "CentER Discussion Paper",
publisher = "Microeconomics",
type = "WorkingPaper",
institution = "Microeconomics",
}