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030 Department Bulletin Papers = 本学紀要論文
*Hitotsubashi journal of economics
Vol. 64, no. 2(Dec. 2023)
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Vol. 01, no. 1 (Oct. 1960)
Number of Access this item:
1,748
(
2024-04-24
14:50 Counts
)
Identifier to cite or link to this item: https://doi.org/10.15057/18044
Identifier to cite or link to this item: https://hdl.handle.net/10086/18044
Link to primary information
File
Format
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Description
cover_18044
pdf
HJeco0500200010
pdf
123 KB
1,998
Item Information
Output File
Title
Hypergraph Formation Game
Creator
Creator Name
Jun, Tackseung
Jun, Tackseung
Affiliation
Affiliation Name
Kyung Hee University
Creator Name
Kim, Jeong-Yoo
Kim, Jeong-Yoo
Affiliation
Affiliation Name
Kyung Hee University
Key Word
Association
Efficiency
Hypergraph
Network
Stability
JEL
C72
Abstract
We define a hypergraph by a set of associations which consist of nonexclusive two or more players. It is a generalization of a graph (or a network) in the sense that an association, the counterpart of a link in a hypergraph, connects any number of nodes, not simply a pair of nodes. We characterize the efficient hypergraphs and stable hypergraphs for the linear variable cost of associations. The efficient hypergraph is either the empty hypergraph or the grand hypergraph consisting of a single grand association. The stable hypergraph can be a grand hypergraph, a star hypergraph or a line hypergraph. If a star hypergraph is stable, it must have a singleton center. Generally, a hypergraph can be underconnected, but cannot be overconnected.
Publisher
Hitotsubashi University
Issued Date
2009-12
Language
English(eng)
Resource Type
departmental bulletin paper
Version Type
VoR
selfDOI
10.15057/18044
ISSN
0018-280x
NCID
AA00207547
Source Title
Hitotsubashi Journal of Economics
Volume Number
50
Issue Number
2
Page Start
1
Page End
16
Appears in Collections
Vol. 50, no. 2 (Dec. 2009)
URL
https://hdl.handle.net/10086/18044
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