Multi-choice total clan games and their core

R. Brânzei, N. Llorca, J. Sánchez-Soriano, S.H. Tijs

Research output: Contribution to journalArticleScientificpeer-review

Abstract

This paper deals with a new class of multi-choice games, the class of multi- choice total clan games. The structure of the core of a multi-choice clan game is explicitly described. Furthermore, characterizations of multi-choice total clan games are given and bi-monotonic allocation schemes related to players' levels are introduced for such games. It turns out that some elements in the core of a multi- choice total clan game are extendable to such bi-monotonic allocation schemes via suitable compensation-sharing rules on the domain of multi-choice (total) clan games.
Original languageEnglish
Pages (from-to)123-138
JournalTop
Volume17
Issue number4
Publication statusPublished - 2009

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Brânzei, R., Llorca, N., Sánchez-Soriano, J., & Tijs, S. H. (2009). Multi-choice total clan games and their core. Top, 17(4), 123-138.
Brânzei, R. ; Llorca, N. ; Sánchez-Soriano, J. ; Tijs, S.H. / Multi-choice total clan games and their core. In: Top. 2009 ; Vol. 17, No. 4. pp. 123-138.
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author = "R. Br{\^a}nzei and N. Llorca and J. S{\'a}nchez-Soriano and S.H. Tijs",
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Brânzei, R, Llorca, N, Sánchez-Soriano, J & Tijs, SH 2009, 'Multi-choice total clan games and their core', Top, vol. 17, no. 4, pp. 123-138.

Multi-choice total clan games and their core. / Brânzei, R.; Llorca, N.; Sánchez-Soriano, J.; Tijs, S.H.

In: Top, Vol. 17, No. 4, 2009, p. 123-138.

Research output: Contribution to journalArticleScientificpeer-review

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T1 - Multi-choice total clan games and their core

AU - Brânzei, R.

AU - Llorca, N.

AU - Sánchez-Soriano, J.

AU - Tijs, S.H.

N1 - Appeared earlier as CentER DP 2007-77 (rt)

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AB - This paper deals with a new class of multi-choice games, the class of multi- choice total clan games. The structure of the core of a multi-choice clan game is explicitly described. Furthermore, characterizations of multi-choice total clan games are given and bi-monotonic allocation schemes related to players' levels are introduced for such games. It turns out that some elements in the core of a multi- choice total clan game are extendable to such bi-monotonic allocation schemes via suitable compensation-sharing rules on the domain of multi-choice (total) clan games.

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EP - 138

JO - Top

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SN - 1134-5764

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Brânzei R, Llorca N, Sánchez-Soriano J, Tijs SH. Multi-choice total clan games and their core. Top. 2009;17(4):123-138.