Monotonic Allocation Schemes in Clan Games

M. Voorneveld, S.H. Tijs, S. Grahn

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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.
Original languageEnglish
Place of PublicationTilburg
Number of pages12
Publication statusPublished - 2000

Publication series

NameCentER Discussion Paper


  • cooperative games
  • population monotonic allocation scheme
  • bi-monotonic allocation scheme
  • clan games
  • big boss games

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