Mechanism design in fair allocation problems

2010 Fiscal Year Final Research Report

• Project/Area Number: 21830090
• Research Category: Grant-in-Aid for Research Activity Start-up
• Allocation Type: Single-year Grants
• Research Field: Economic theory
• Research Institution: Tokyo Institute of Technology (2010); Tokyo Metropolitan University (2009)
• Principal Investigator: HOSHINO Yuji (FUJINAKA Yuji) 東京工業大学, 大学院・社会理工学研究科, 助教 (20552277)
• Project Period (FY): 2009 – 2010
• Keywords: メカニズムデザイン / ナッシュ遂行 / 耐戦略性 / 公平分担問題 / 非分割財

Research Abstract

In this project, I studied mechanisms that implement fair allocations in the problem of allocating indivisible goods with monetary transfers, which are referred to as the fair allocation problems. Concretely, I investigated properties of a simple mechanism in the problem with a single object. Next, in the problem where there are multiple indivisible objects, I examined which welfare level each participant to a mechanism can obtain by maximally manipulating the mechanism. This analysis leads to various meaningful results on mechanisms in this problem.

Research Products

• [Journal Article] Secure implementation in Shapley-Scarf housing markets (2011)
  • Author(s): Yuji Fujinaka and Takuma Wakayama
  • Journal Title: Economic Theory Volume: Vol.48 Pages: 147-169
  • Peer Reviewed
• [Presentation] Maximal manipulation in fair allocation (2010)
  • Author(s): 藤中裕二
  • Organizer: 東京工業大学ワークインプログレスセミナー
  • Place of Presentation: 東京工業大学
  • Year and Date: 2010-12-21
• [Presentation] Maximal manipulation in fair allocation (2010)
  • Author(s): 藤中裕二
  • Organizer: 一橋大学経済理論ワークショップ
  • Place of Presentation: 一橋大学
  • Year and Date: 2010-12-09
• [Presentation] Maximal manipulation in fair allocation (2010)
  • Author(s): 藤中裕二
  • Organizer: 神戸大学六甲フォーラム
  • Place of Presentation: 神戸大学
  • Year and Date: 2010-11-30
• [Presentation] Maximal manipulation in fair allocation (2010)
  • Author(s): 藤中裕二
  • Organizer: 首都大学東京経済学セミナー
  • Place of Presentation: 首都大学東京
  • Year and Date: 2010-10-28
• [Presentation] Maximal manipulation in fair allocation (2010)
  • Author(s): 藤中裕二
  • Organizer: SWET2010
  • Place of Presentation: 小樽商科大学
  • Year and Date: 2010-08-07
• [Presentation] Choosing someone with monetary transfers : a comprehensive analysis (2009)
  • Author(s): 藤中裕二
  • Organizer: 公共経済学セミナー
  • Place of Presentation: 慶應大学
  • Year and Date: 2009-11-13
• [Presentation] Secure implementation in Shapley-Scarf housing markets (2009)
  • Author(s): 藤中裕二
  • Organizer: ARISH-NUPRI Economics Workshop
  • Place of Presentation: 日本大学
  • Year and Date: 2009-07-02
• [Remarks] Yuji Fuinaka, Toyotaka Sakai, and Shin Sakaue "Choosing someone with monetary transfers : a comprehensive analysis,"(2010) mimeo.ディスカッションペーパー
• [Remarks] Yuji Fujinaka and Takuma Wakayama,"Maximal manipulation in fair allocation,"(2011) Discussion Paper 2011-02, Department of Social Engineering, Tokyo Institute of Technology)ディスカッションペーパー
• [Remarks]
  • URL: http://www.geocities.jp/yuji_fujinaka/