Presentation 2017-05-13
λ Group Strategy Proof Mechanisms for the Obnoxious Facility Game in Star Networks
Yuhei Fukui, Aleksandar Shurbevski, Hiroshi Nagamochi,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) In the obnoxious facility game, we design mechanisms that output a location of an undesirable facility based on the locations of players reported by themselves. The benefit of a player is defined to be the distance between her location and the facility. A player may try to manipulate the output of the mechanism by strategically misreporting her location. We wish to design a $lambda$-group strategy-proof mechanism i.e., for every group of players, at least one player in the group cannot gain strictly more than $lambda$ times her primary benefit by having the entire group change their reports simultaneously. In this paper, we design an $k$-candidate $lambda$-group strategy-proof mechanism for the obnoxious facility game in the metric defined by $k$ half lines with a common endpoint such that each candidate is a point in each of the half-lines at the same distance to the common endpoint as other candidates. Then, we show that the benefit ratio of the mechanism is at most $1+1/(k-1)lambda$. Finally, we prove that the bound is nearly tight.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) mechanism designobnoxious facility gamestrategy proofstar network
Paper # COMP2017-9
Date of Issue 2017-05-05 (COMP)

Conference Information
Committee COMP / IPSJ-AL
Conference Date 2017/5/12(2days)
Place (in Japanese) (See Japanese page)
Place (in English)
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Topics (in English)
Chair Hiro Ito(Univ. of Electro-Comm.) / 堀山 貴史(埼玉大)
Vice Chair Yushi Uno(Osaka Pref. Univ.)
Secretary Yushi Uno(Seikei Univ.) / (Kyushu Inst. of Tech.)
Assistant

Paper Information
Registration To Technical Committee on Theoretical Foundations of Computing / Special Interest Group on Algorithms
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) λ Group Strategy Proof Mechanisms for the Obnoxious Facility Game in Star Networks
Sub Title (in English)
Keyword(1) mechanism designobnoxious facility gamestrategy proofstar network
1st Author's Name Yuhei Fukui
1st Author's Affiliation Kyoto University(Kyoto Univ.)
2nd Author's Name Aleksandar Shurbevski
2nd Author's Affiliation Kyoto University(Kyoto Univ.)
3rd Author's Name Hiroshi Nagamochi
3rd Author's Affiliation Kyoto University(Kyoto Univ.)
Date 2017-05-13
Paper # COMP2017-9
Volume (vol) vol.117
Number (no) COMP-28
Page pp.pp.61-68(COMP),
#Pages 8
Date of Issue 2017-05-05 (COMP)