Cooperative interval games: Mountain situations with interval data

In this paper, we extend mountain situations by using interval calculus. We define the interval Bird allocation and show that this allocation is a special core element of the interval cost game corresponding to an interval mountain situation. We deal with the interval cost sharing problem by introdu...

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Bibliographic Details
Published inJournal of computational and applied mathematics Vol. 259; pp. 622 - 632
Main Authors Alparslan Gök, S.Z., Palancı, O., Olgun, M.O.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.03.2014
Subjects
Bird allocation
Cooperative games
Interval data
Minimum cost spanning tree problems
Monotonic allocation schemes
Bird allocation
Cooperative games
Monotonic allocation schemes
Interval data
Minimum cost spanning tree problems
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Summary:In this paper, we extend mountain situations by using interval calculus. We define the interval Bird allocation and show that this allocation is a special core element of the interval cost game corresponding to an interval mountain situation. We deal with the interval cost sharing problem by introducing the cooperative interval cost game. Further, we consider a subset of the interval core of the related interval cost game. Each element of this set is extendable to a population monotonic interval allocation scheme or shortly pmias. Finally, we show that each interval core element of an interval connection game is extendable to bi-monotonic interval allocation scheme or shortly bi-mias.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2013.01.021