Convex Interval Games

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

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Abstract

In this paper, convex interval games are introduced and some 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. A square operator is introduced which allows us to obtain interval solutions starting from 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.
Original languageEnglish
Place of PublicationTilburg
PublisherOperations research
Number of pages19
Volume2008-37
Publication statusPublished - 2008

Publication series

NameCentER Discussion Paper
Volume2008-37

Keywords

  • cooperative games
  • interval data
  • convex games
  • the core
  • the Weber set
  • the Shapley value

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