Convex Interval Games
Joint Authors
Tijs, S.
Alparslan Gök, S. Z.
Branzei, R.
Source
Journal of Applied Mathematics and Decision Sciences
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-06-23
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Convex interval games are introduced and characterizations are given.
Some economic situations leading to convex interval games are discussed.
The Weber set and the Shapley value are defined for a suitable class of interval games and their relations with the interval core for convex interval games are established.
The notion of population monotonic interval allocation scheme (pmias) in the interval setting is introduced and it is proved that each element of the Weber set of a convex interval game is extendable to such a pmias.
A square operator is introduced which allows us to obtain interval solutions starting from the corresponding classical cooperative game theory solutions.
It turns out that on the class of convex interval games the square Weber set coincides with the interval core.
American Psychological Association (APA)
Alparslan Gök, S. Z.& Branzei, R.& Tijs, S.. 2009. Convex Interval Games. Journal of Applied Mathematics and Decision Sciences،Vol. 2009, no. 2009, pp.1-14.
https://search.emarefa.net/detail/BIM-464297
Modern Language Association (MLA)
Alparslan Gök, S. Z.…[et al.]. Convex Interval Games. Journal of Applied Mathematics and Decision Sciences No. 2009 (2009), pp.1-14.
https://search.emarefa.net/detail/BIM-464297
American Medical Association (AMA)
Alparslan Gök, S. Z.& Branzei, R.& Tijs, S.. Convex Interval Games. Journal of Applied Mathematics and Decision Sciences. 2009. Vol. 2009, no. 2009, pp.1-14.
https://search.emarefa.net/detail/BIM-464297
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464297
