Convex Interval Games

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

Research output: Working paperDiscussion paperOther research output

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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

Fingerprint

Game
Interval
Cooperative Game Theory
Shapley Value
Economics
Operator
Class

Keywords

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

Cite this

Alparslan-Gok, S. Z., Brânzei, R., & Tijs, S. H. (2008). Convex Interval Games. (CentER Discussion Paper; Vol. 2008-37). Tilburg: Operations research.
Alparslan-Gok, S.Z. ; Brânzei, R. ; Tijs, S.H. / Convex Interval Games. Tilburg : Operations research, 2008. (CentER Discussion Paper).
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Alparslan-Gok, SZ, Brânzei, R & Tijs, SH 2008 'Convex Interval Games' CentER Discussion Paper, vol. 2008-37, Operations research, Tilburg.

Convex Interval Games. / Alparslan-Gok, S.Z.; Brânzei, R.; Tijs, S.H.

Tilburg : Operations research, 2008. (CentER Discussion Paper; Vol. 2008-37).

Research output: Working paperDiscussion paperOther research output

TY - UNPB

T1 - Convex Interval Games

AU - Alparslan-Gok, S.Z.

AU - Brânzei, R.

AU - Tijs, S.H.

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PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

KW - cooperative games

KW - interval data

KW - convex games

KW - the core

KW - the Weber set

KW - the Shapley value

M3 - Discussion paper

VL - 2008-37

T3 - CentER Discussion Paper

BT - Convex Interval Games

PB - Operations research

CY - Tilburg

ER -

Alparslan-Gok SZ, Brânzei R, Tijs SH. Convex Interval Games. Tilburg: Operations research. 2008. (CentER Discussion Paper).