A survey of consistency properties in cooperative game theory

Theo Driessen

doi:10.1137/1033003

A survey of consistency properties in cooperative game theory

Theo Driessen

Discrete Mathematics and Mathematical Programming

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

The main purpose of this survey paper is to review the axiomatic characterizations of the Shapley value, the prekernel, the prenucleolus, and the core by means of a consistency property in terms of the reduced games. Whenever possible, new results and new proofs are addded.

Original language	English
Pages (from-to)	43-59
Number of pages	17
Journal	SIAM review
Volume	33
Issue number	1
DOIs	https://doi.org/10.1137/1033003
Publication status	Published - 1991

Keywords

Cooperative game in characteristic function form
Reduced game
Shapley value
Prekernel
Prenucleolus
Core
Consistency

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10.1137/1033003

Driessen1991surveyFinal published version, 1.28 MBLicence: CC BY-NC

Cite this

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KW - Reduced game

KW - Shapley value

KW - Prekernel

KW - Prenucleolus

KW - Core

KW - Consistency

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A survey of consistency properties in cooperative game theory

Abstract

Keywords

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