Multi-choice total clan games and their core

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

Multi-choice total clan games and their core

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

Research output: Contribution to journal › Article › Scientific › peer-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 language	English
Pages (from-to)	123-138
Journal	Top
Volume	17
Issue number	4
Publication status	Published - 2009

Cite this

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title = "Multi-choice total clan games and their core",

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.",

author = "R. Br{\^a}nzei and N. Llorca and J. S{\'a}nchez-Soriano and S.H. Tijs",

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AU - Brânzei, R.

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AU - Sánchez-Soriano, J.

AU - Tijs, S.H.

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

PY - 2009

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N2 - 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.

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.

M3 - Article

SN - 1134-5764

VL - 17

SP - 123

EP - 138

JO - Top

JF - Top

IS - 4

ER -

Multi-choice total clan games and their core

Abstract

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