講演名 2017-05-13
λ Group Strategy Proof Mechanisms for the Obnoxious Facility Game in Star Networks
福井 悠平(京大), アレクサンダル シュルベフスキ(京大), 永持 仁(京大),
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抄録(和) 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.
抄録(英) 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.
キーワード(和)
キーワード(英) mechanism designobnoxious facility gamestrategy proofstar network
資料番号 COMP2017-9
発行日 2017-05-05 (COMP)

研究会情報
研究会 COMP / IPSJ-AL
開催期間 2017/5/12(から2日開催)
開催地(和) 長崎県建設工業協同組合
開催地(英)
テーマ(和)
テーマ(英)
委員長氏名(和) 伊藤 大雄(電通大) / 堀山 貴史(埼玉大)
委員長氏名(英) Hiro Ito(Univ. of Electro-Comm.) / 堀山 貴史(埼玉大)
副委員長氏名(和) 宇野 裕之(阪府大)
副委員長氏名(英) Yushi Uno(Osaka Pref. Univ.)
幹事氏名(和) 脊戸 和寿(成蹊大) / 斎藤 寿樹(九工大) / 岡本 吉央(電通大) / 川原 純(NAIST) / 河村 彰星(東大)
幹事氏名(英) Kazuhisa Seto(Seikei Univ.) / Toshiki Saito(Kyushu Inst. of Tech.) / 岡本 吉央(電通大) / 川原 純(NAIST) / 河村 彰星(東大)
幹事補佐氏名(和)
幹事補佐氏名(英)

講演論文情報詳細
申込み研究会 Technical Committee on Theoretical Foundations of Computing / Special Interest Group on Algorithms
本文の言語 ENG
タイトル(和)
サブタイトル(和)
タイトル(英) λ Group Strategy Proof Mechanisms for the Obnoxious Facility Game in Star Networks
サブタイトル(和)
キーワード(1)(和/英) / mechanism designobnoxious facility gamestrategy proofstar network
第 1 著者 氏名(和/英) 福井 悠平 / Yuhei Fukui
第 1 著者 所属(和/英) 京都大学(略称:京大)
Kyoto University(略称:Kyoto Univ.)
第 2 著者 氏名(和/英) アレクサンダル シュルベフスキ / Aleksandar Shurbevski
第 2 著者 所属(和/英) 京都大学(略称:京大)
Kyoto University(略称:Kyoto Univ.)
第 3 著者 氏名(和/英) 永持 仁 / Hiroshi Nagamochi
第 3 著者 所属(和/英) 京都大学(略称:京大)
Kyoto University(略称:Kyoto Univ.)
発表年月日 2017-05-13
資料番号 COMP2017-9
巻番号(vol) vol.117
号番号(no) COMP-28
ページ範囲 pp.61-68(COMP),
ページ数 8
発行日 2017-05-05 (COMP)