A Nucleolus for Stochastic Cooperative Games

J.P.M. Suijs

Research output: Working paperDiscussion paperOther research output

236 Downloads (Pure)

Abstract

This paper extends the definition of the nucleolus to stochastic cooperative games, that is, to cooperative games with random payoffs to the coalitions. It is shown that the nucleolus is nonempty and that it belongs to the core whenever the core is nonempty. Furthermore, it is shown for a particular class of stochastic cooperative games that the nucleolus can be determined by calculating the traditional nucleolus introduced by Schmeidler (1969) of a specific deterministic cooperative game.
Original languageEnglish
Place of PublicationTilburg
PublisherCentER Accounting Research Group
Number of pages34
Volume1996-90
Publication statusPublished - 1996

Publication series

NameCentER Discussion Paper
Volume1996-90

Keywords

  • Nucleolus
  • cooperative game theory
  • random variables
  • preferences

Cite this

Suijs, J. P. M. (1996). A Nucleolus for Stochastic Cooperative Games. (CentER Discussion Paper; Vol. 1996-90). Tilburg: CentER Accounting Research Group.
Suijs, J.P.M. / A Nucleolus for Stochastic Cooperative Games. Tilburg : CentER Accounting Research Group, 1996. (CentER Discussion Paper).
@techreport{44b162e785d34884926106bf2e7f302f,
title = "A Nucleolus for Stochastic Cooperative Games",
abstract = "This paper extends the definition of the nucleolus to stochastic cooperative games, that is, to cooperative games with random payoffs to the coalitions. It is shown that the nucleolus is nonempty and that it belongs to the core whenever the core is nonempty. Furthermore, it is shown for a particular class of stochastic cooperative games that the nucleolus can be determined by calculating the traditional nucleolus introduced by Schmeidler (1969) of a specific deterministic cooperative game.",
keywords = "Nucleolus, cooperative game theory, random variables, preferences",
author = "J.P.M. Suijs",
note = "Pagination: 34",
year = "1996",
language = "English",
volume = "1996-90",
series = "CentER Discussion Paper",
publisher = "CentER Accounting Research Group",
type = "WorkingPaper",
institution = "CentER Accounting Research Group",

}

Suijs, JPM 1996 'A Nucleolus for Stochastic Cooperative Games' CentER Discussion Paper, vol. 1996-90, CentER Accounting Research Group, Tilburg.

A Nucleolus for Stochastic Cooperative Games. / Suijs, J.P.M.

Tilburg : CentER Accounting Research Group, 1996. (CentER Discussion Paper; Vol. 1996-90).

Research output: Working paperDiscussion paperOther research output

TY - UNPB

T1 - A Nucleolus for Stochastic Cooperative Games

AU - Suijs, J.P.M.

N1 - Pagination: 34

PY - 1996

Y1 - 1996

N2 - This paper extends the definition of the nucleolus to stochastic cooperative games, that is, to cooperative games with random payoffs to the coalitions. It is shown that the nucleolus is nonempty and that it belongs to the core whenever the core is nonempty. Furthermore, it is shown for a particular class of stochastic cooperative games that the nucleolus can be determined by calculating the traditional nucleolus introduced by Schmeidler (1969) of a specific deterministic cooperative game.

AB - This paper extends the definition of the nucleolus to stochastic cooperative games, that is, to cooperative games with random payoffs to the coalitions. It is shown that the nucleolus is nonempty and that it belongs to the core whenever the core is nonempty. Furthermore, it is shown for a particular class of stochastic cooperative games that the nucleolus can be determined by calculating the traditional nucleolus introduced by Schmeidler (1969) of a specific deterministic cooperative game.

KW - Nucleolus

KW - cooperative game theory

KW - random variables

KW - preferences

M3 - Discussion paper

VL - 1996-90

T3 - CentER Discussion Paper

BT - A Nucleolus for Stochastic Cooperative Games

PB - CentER Accounting Research Group

CY - Tilburg

ER -

Suijs JPM. A Nucleolus for Stochastic Cooperative Games. Tilburg: CentER Accounting Research Group. 1996. (CentER Discussion Paper).