Presentation 2010-06-21
Braess's Paradox in a Two-source Network
Shimpei HAMAGUCHI, Takafumi KANAZAWA, Toshimitsu USHIO,
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Abstract(in English) Selfish routing is a selfish route selection of players in computer networks. Players are assumed to select paths so as to minimize their data transfer latencies. Recently, selfish routing is analyzed as an evolutionary game. Additional edges are expected to reduce the average latency of data transfers, but such edges may increase the average latency in some single-source single-sink networks. Such a situation is well known as Braess's paradox. In this paper, we formulate multipopulation replicator dynamics of selfish routing in multisource single-sink networks. Then, in a two-source network, we find flows which correspond to stable equilibrium points of the replicator dynamics. We extend Braess's paradox to multisource single-sink networks and show that such a paradox occurs in a network which is added an edge to the two-source network.
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Keyword(in English) Braess's paradox / selfish routing / multipopulation replicator dynamics / Pareto optimal
Paper # CAS2010-9,VLD2010-19,SIP2010-30,CST2010-9
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Committee VLD
Conference Date 2010/6/14(1days)
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Registration To VLSI Design Technologies (VLD)
Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English) Braess's Paradox in a Two-source Network
Sub Title (in English)
Keyword(1) Braess's paradox
Keyword(2) selfish routing
Keyword(3) multipopulation replicator dynamics
Keyword(4) Pareto optimal
1st Author's Name Shimpei HAMAGUCHI
1st Author's Affiliation Graduate school of Engineering Science, Osaka University()
2nd Author's Name Takafumi KANAZAWA
2nd Author's Affiliation Graduate school of Engineering Science, Osaka University
3rd Author's Name Toshimitsu USHIO
3rd Author's Affiliation Graduate school of Engineering Science, Osaka University
Date 2010-06-21
Paper # CAS2010-9,VLD2010-19,SIP2010-30,CST2010-9
Volume (vol) vol.110
Number (no) 87
Page pp.pp.-
#Pages 6
Date of Issue