Convex multi-choice cooperative games and their monotonic allocation schemes

R. Brânzei, S.H. Tijs, J. Zarzuelo

Research output: Contribution to journalArticleScientificpeer-review

Abstract

This paper focuses on new characterizations of convex multi-choice games using the notions of exactness and superadditivity. Further- more, (level-increase) monotonic allocation schemes (limas) on the class of convex multi-choice games are introduced and studied. It turns out that each element of the Weber set of such a game is ex- tendable to a limas, and the (total) Shapley value for multi-choice games generates a limas for each convex multi-choice game.
Original languageEnglish
Pages (from-to)571-575
JournalEuropean Journal of Operational Research
Volume198
Issue number2
Publication statusPublished - 2009

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Cooperative Game
Monotonic
Game
Superadditivity
Shapley Value
Exactness
Cooperative game

Cite this

Brânzei, R. ; Tijs, S.H. ; Zarzuelo, J. / Convex multi-choice cooperative games and their monotonic allocation schemes. In: European Journal of Operational Research. 2009 ; Vol. 198, No. 2. pp. 571-575.
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Convex multi-choice cooperative games and their monotonic allocation schemes. / Brânzei, R.; Tijs, S.H.; Zarzuelo, J.

In: European Journal of Operational Research, Vol. 198, No. 2, 2009, p. 571-575.

Research output: Contribution to journalArticleScientificpeer-review

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AB - This paper focuses on new characterizations of convex multi-choice games using the notions of exactness and superadditivity. Further- more, (level-increase) monotonic allocation schemes (limas) on the class of convex multi-choice games are introduced and studied. It turns out that each element of the Weber set of such a game is ex- tendable to a limas, and the (total) Shapley value for multi-choice games generates a limas for each convex multi-choice game.

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