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Monotonic allocation schemes in clan games
Stockholm school of Economics.
Tilburg University.
Uppsala University.
2003 (English)In: Mathematical Methods of Operations Research, ISSN 1432-2994, E-ISSN 1432-5217, Vol. 56, no 3, 439-449 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2003. Vol. 56, no 3, 439-449 p.
Keyword [en]
Organization (administration)
National Category
Economics
Research subject
SAB, Qa Economics and finance
Identifiers
URN: urn:nbn:se:vti:diva-387DOI: 10.1007/s001860200240ISI: 000180816000006OAI: oai:DiVA.org:vti-387DiVA: diva2:667249
Available from: 2013-11-26 Created: 2013-11-26 Last updated: 2016-09-02Bibliographically approved

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CiteExportLink to record
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