Two extensions of the Shapley value for cooperative games

Theo Driessen, Daniël Paulusma

Research output: Book/ReportReportOther research output

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Abstract

Two extensions of the Shapley value are given. First we consider a probabilistic framework in which certain consistent allocation rules such as the Shapley value are characterized. The second generalization of the Shapley value is an extension to the structure of posets by means of a recursive form. In the latter setting, the Shapley value for quasi-concave games is shown to be a core-allocation.
Original languageUndefined
Place of PublicationEnschede
PublisherUniversity of Twente, Faculty of Mathematical Sciences
Publication statusPublished - 1999

Publication series

NameMemorandum / Department of Applied Mathematics
PublisherUniversity of Twente, Faculty of Mathematical Sciences
No.1494
ISSN (Print)0169-2690

Keywords

  • MSC-90D40
  • IR-65683
  • EWI-3314
  • MSC-90D12

Cite this

Driessen, T., & Paulusma, D. (1999). Two extensions of the Shapley value for cooperative games. (Memorandum / Department of Applied Mathematics; No. 1494). Enschede: University of Twente, Faculty of Mathematical Sciences.
Driessen, Theo ; Paulusma, Daniël. / Two extensions of the Shapley value for cooperative games. Enschede : University of Twente, Faculty of Mathematical Sciences, 1999. (Memorandum / Department of Applied Mathematics; 1494).
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Driessen, T & Paulusma, D 1999, Two extensions of the Shapley value for cooperative games. Memorandum / Department of Applied Mathematics, no. 1494, University of Twente, Faculty of Mathematical Sciences, Enschede.

Two extensions of the Shapley value for cooperative games. / Driessen, Theo; Paulusma, Daniël.

Enschede : University of Twente, Faculty of Mathematical Sciences, 1999. (Memorandum / Department of Applied Mathematics; No. 1494).

Research output: Book/ReportReportOther research output

TY - BOOK

T1 - Two extensions of the Shapley value for cooperative games

AU - Driessen, Theo

AU - Paulusma, Daniël

N1 - Imported from MEMORANDA

PY - 1999

Y1 - 1999

N2 - Two extensions of the Shapley value are given. First we consider a probabilistic framework in which certain consistent allocation rules such as the Shapley value are characterized. The second generalization of the Shapley value is an extension to the structure of posets by means of a recursive form. In the latter setting, the Shapley value for quasi-concave games is shown to be a core-allocation.

AB - Two extensions of the Shapley value are given. First we consider a probabilistic framework in which certain consistent allocation rules such as the Shapley value are characterized. The second generalization of the Shapley value is an extension to the structure of posets by means of a recursive form. In the latter setting, the Shapley value for quasi-concave games is shown to be a core-allocation.

KW - MSC-90D40

KW - IR-65683

KW - EWI-3314

KW - MSC-90D12

M3 - Report

T3 - Memorandum / Department of Applied Mathematics

BT - Two extensions of the Shapley value for cooperative games

PB - University of Twente, Faculty of Mathematical Sciences

CY - Enschede

ER -

Driessen T, Paulusma D. Two extensions of the Shapley value for cooperative games. Enschede: University of Twente, Faculty of Mathematical Sciences, 1999. (Memorandum / Department of Applied Mathematics; 1494).