Big Boss Interval Games

S.Z. Alparslan-Gok, R. Brânzei, S.H. Tijs

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Abstract

In this paper big boss interval games are introduced and various characterizations are given. The structure of the core of a big boss interval game is explicitly described and plays an important role relative to interval-type bi-monotonic allocation schemes for such games. Specifically, each element of the interval core of a big boss interval game is extendable to a bi-monotonic allocation scheme. Furthermore, on the class of big boss interval games two interval solution concepts of value type are defined which can be seen as extensions of the compromise value and the AL-value to the interval setting. It turns out that these interval solutions coincide and generate a bi-monotonic allocation scheme for each big boss interval game.
Original languageEnglish
Place of PublicationTilburg
PublisherOperations research
Number of pages17
Volume2008-47
Publication statusPublished - 2008

Publication series

NameCentER Discussion Paper
Volume2008-47

Keywords

  • Cooperative games
  • interval data
  • big boss games
  • bi-monotonic allocation schemes
  • the AL-value
  • the compromise value

Cite this

Alparslan-Gok, S. Z., Brânzei, R., & Tijs, S. H. (2008). Big Boss Interval Games. (CentER Discussion Paper; Vol. 2008-47). Operations research.