A note on a core catcher of a cooperative game

Theo Driessen

doi:10.1007/BF01919294

A note on a core catcher of a cooperative game

Theo Driessen

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Abstract

In Driessen (1986) it is shown that for games satisfying a certain condition the core of the game is included in the convex hull of the set of certain marginal worth vectors of the game, while it is conjectured that the inclusion holds without any condition on the game. In this note it is proved that the inclusion holds for all games.

Original language	Undefined
Pages (from-to)	239-241
Journal	Zeitschrift für Operations Research
Volume	30
Issue number	5
DOIs	https://doi.org/10.1007/BF01919294
Publication status	Published - 1986

Keywords

Cooperative game
Core
IR-85962

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10.1007/BF01919294

Driessen_10.1007_BF01919294

Cite this

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title = "A note on a core catcher of a cooperative game",

abstract = "In Driessen (1986) it is shown that for games satisfying a certain condition the core of the game is included in the convex hull of the set of certain marginal worth vectors of the game, while it is conjectured that the inclusion holds without any condition on the game. In this note it is proved that the inclusion holds for all games.",

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AB - In Driessen (1986) it is shown that for games satisfying a certain condition the core of the game is included in the convex hull of the set of certain marginal worth vectors of the game, while it is conjectured that the inclusion holds without any condition on the game. In this note it is proved that the inclusion holds for all games.

KW - Cooperative game

KW - Core

KW - IR-85962

U2 - 10.1007/BF01919294

DO - 10.1007/BF01919294

M3 - Article

SN - 0341-3306

VL - 30

SP - 239

EP - 241

JO - Zeitschrift für Operations Research

JF - Zeitschrift für Operations Research

IS - 5

ER -