The nucleon of cooperative games and an algorithm for matching games

U. Faigle; Walter Kern; Sándor P. Fekete; Winfried Hochstättler

doi:10.1007/BF02680558

The nucleon of cooperative games and an algorithm for matching games

U. Faigle, Walter Kern, Sándor P. Fekete, Winfried Hochstättler

Discrete Mathematics and Mathematical Programming

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

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Abstract

The nucleon is introduced as a new allocation concept for non-negative cooperativen-person transferable utility games. The nucleon may be viewed as the multiplicative analogue of Schmeidler’s nucleolus. It is shown that the nucleon of (not necessarily bipartite) matching games can be computed in polynomial time.

Original language	Undefined
Pages (from-to)	195-211
Number of pages	17
Journal	Mathematical programming
Volume	83
Issue number	1-3
DOIs	https://doi.org/10.1007/BF02680558
Publication status	Published - 1998

Keywords

IR-79987
METIS-140545
Cooperative game - Core - Nucleolus - Nucleon - Matching

Access to Document

10.1007/BF02680558

Cite this

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title = "The nucleon of cooperative games and an algorithm for matching games",

abstract = "The nucleon is introduced as a new allocation concept for non-negative cooperativen-person transferable utility games. The nucleon may be viewed as the multiplicative analogue of Schmeidler{\textquoteright}s nucleolus. It is shown that the nucleon of (not necessarily bipartite) matching games can be computed in polynomial time.",

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AU - Faigle, U.

AU - Kern, Walter

AU - Fekete, Sándor P.

AU - Hochstättler, Winfried

PY - 1998

Y1 - 1998

N2 - The nucleon is introduced as a new allocation concept for non-negative cooperativen-person transferable utility games. The nucleon may be viewed as the multiplicative analogue of Schmeidler’s nucleolus. It is shown that the nucleon of (not necessarily bipartite) matching games can be computed in polynomial time.

AB - The nucleon is introduced as a new allocation concept for non-negative cooperativen-person transferable utility games. The nucleon may be viewed as the multiplicative analogue of Schmeidler’s nucleolus. It is shown that the nucleon of (not necessarily bipartite) matching games can be computed in polynomial time.

KW - IR-79987

KW - METIS-140545

KW - Cooperative game - Core - Nucleolus - Nucleon - Matching

U2 - 10.1007/BF02680558

DO - 10.1007/BF02680558

M3 - Article

SN - 0025-5610

VL - 83

SP - 195

EP - 211

JO - Mathematical programming

JF - Mathematical programming

IS - 1-3

ER -