A New Allocation Rule for Cooperative Games with Hypergraph Communication Structure

David A. Kosian; Leon A. Petrosyan

A New Allocation Rule for Cooperative Games with Hypergraph Communication Structure

Research output

Abstract

A new allocation rule was proposed by splitting the original game into a game between hyperlinks and games within them. A special case of cooperative game on flower type hypergraphs is investigated. The proposed allocation rule has been generalized for games with a communication struc¬ture represented by acyclic reduced hypergraphs and was illustrated by examples.

Original language	English
Pages (from-to)	204-219
Journal	Contributions to Game Theory and Management
Volume	12
Publication status	Published - 2019

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title = "A New Allocation Rule for Cooperative Games with Hypergraph Communication Structure",

abstract = "A new allocation rule was proposed by splitting the original game into a game between hyperlinks and games within them. A special case of cooperative game on flower type hypergraphs is investigated. The proposed allocation rule has been generalized for games with a communication struc¬ture represented by acyclic reduced hypergraphs and was illustrated by examples.",

keywords = "cooperation, characteristic function, Hypergraph, COMMUNICATION STRUCTURE, Allocation rule",

author = "Kosian, {David A.} and Petrosyan, {Leon A.}",

year = "2019",

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T1 - A New Allocation Rule for Cooperative Games with Hypergraph Communication Structure

AU - Kosian, David A.

AU - Petrosyan, Leon A.

PY - 2019

Y1 - 2019

N2 - A new allocation rule was proposed by splitting the original game into a game between hyperlinks and games within them. A special case of cooperative game on flower type hypergraphs is investigated. The proposed allocation rule has been generalized for games with a communication struc¬ture represented by acyclic reduced hypergraphs and was illustrated by examples.

AB - A new allocation rule was proposed by splitting the original game into a game between hyperlinks and games within them. A special case of cooperative game on flower type hypergraphs is investigated. The proposed allocation rule has been generalized for games with a communication struc¬ture represented by acyclic reduced hypergraphs and was illustrated by examples.

KW - cooperation

KW - characteristic function

KW - Hypergraph

KW - COMMUNICATION STRUCTURE

KW - Allocation rule

UR - https://www.elibrary.ru/item.asp?id=39372961

M3 - Conference article

VL - 12

SP - 204

EP - 219

JO - Contributions to Game Theory and Management

JF - Contributions to Game Theory and Management

SN - 2310-2608

ER -