Monotonic allocation schemes in clan games

Mark Voorneveld, Stef Tijs and Sofia Grahn

Mathematical Methods of Operations Research, 2003, vol. 56, issue 3, 439-449

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. Copyright Springer-Verlag Berlin Heidelberg 2003

Keywords: Key words: cooperative games; population monotonic allocation scheme; bi-monotonic allocation scheme; clan games; big boss games (search for similar items in EconPapers)
Date: 2003
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Working Paper: Monotonic allocation schemes in clan games (2003)
Working Paper: Monotonic Allocation Schemes in Clan Games (2000)
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DOI: 10.1007/s001860200240

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