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Mathematics of Operations Research, volume 2, issue 3, pages 225-229

Graphs and Cooperation in Games

Roger B. Myerson ¹

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Graduate School of Management, Nathaniel Leverone Hall, Northwestern University, Evanston, Illinois 60201 |

Publication type: Journal Article

Publication date: 2008-10-31

Institute for Operations Research and the Management Sciences (INFORMS)

Journal: Mathematics of Operations Research

scimago Q1

SJR: 1.215

CiteScore: 3.4

Impact factor: 1.4

ISSN: 0364765X, 15265471

DOI: 10.1287/moor.2.3.225

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Computer Science Applications

General Mathematics

Management Science and Operations Research

Abstract

Graph-theoretic ideas are used to analyze cooperation structures in games. Allocation rules, selecting a payoff for every possible cooperation structure, are studied for games in characteristic function form. Fair allocation rules are defined, and these are proven to be unique, closely related to the Shapley value, and stable for a wide class of games.

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GOST |

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GOST Copy

Myerson R. B. Graphs and Cooperation in Games // Mathematics of Operations Research. 2008. Vol. 2. No. 3. pp. 225-229.

GOST all authors (up to 50) Copy

Myerson R. B. Graphs and Cooperation in Games // Mathematics of Operations Research. 2008. Vol. 2. No. 3. pp. 225-229.

RIS |

Cite this

RIS Copy

TY - JOUR

DO - 10.1287/moor.2.3.225

UR - https://doi.org/10.1287/moor.2.3.225

TI - Graphs and Cooperation in Games

T2 - Mathematics of Operations Research

AU - Myerson, Roger B.

PY - 2008

DA - 2008/10/31

PB - Institute for Operations Research and the Management Sciences (INFORMS)

SP - 225-229

IS - 3

VL - 2

SN - 0364-765X

SN - 1526-5471

ER -

BibTex |

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BibTex (up to 50 authors) Copy

@article{2008_Myerson,

author = {Roger B. Myerson},

title = {Graphs and Cooperation in Games},

journal = {Mathematics of Operations Research},

year = {2008},

volume = {2},

publisher = {Institute for Operations Research and the Management Sciences (INFORMS)},

month = {oct},

url = {https://doi.org/10.1287/moor.2.3.225},

number = {3},

pages = {225--229},

doi = {10.1287/moor.2.3.225}

}

MLA

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MLA Copy

Myerson, Roger B.. “Graphs and Cooperation in Games.” Mathematics of Operations Research, vol. 2, no. 3, Oct. 2008, pp. 225-229. https://doi.org/10.1287/moor.2.3.225.

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Publisher

Institute for Operations Research and the Management Sciences (INFORMS)

Journal

Mathematics of Operations Research

scimago Q1

SJR

1.215

CiteScore

3.4

Impact factor

1.4

ISSN

0364765X (Print)

15265471 (Electronic)