Monotonic allocation schemes in clan games
AbstractTotal 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.
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Bibliographic InfoPaper provided by Tilburg University in its series Open Access publications from Tilburg University with number urn:nbn:nl:ui:12-91573.
Date of creation: 2003
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Publication status: Published in Mathematical Methods of Operations Research (2003) v.56, p.439-449
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