Theoretical analysis of fair collective decision-making

• Project/Area Number: 15K17031
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Economic theory
• Research Institution: Fukuoka University
• Principal Investigator: Kongo Takumi 福岡大学, 経済学部, 教授 (70579664)
• Project Period (FY): 2015-04-01 – 2019-03-31
• Project Status: Completed (Fiscal Year 2018)
• Budget Amount: ¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000); Fiscal Year 2018: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
• Keywords: 公理的特徴付け / 提携型ゲーム / 科学計量学 / 公平性 / 対称性 / 均等分配 / シャープレイ値 / g指標 / 余剰均等分配 / 凸結合 / h指標

Outline of Final Research Achievements

I axiomatically characterize the g-index in scientmetrics. Scientmetrics investigate the method to evaluate the numerical data. One of the well-known methods is the g-index. In order to characterize the index, I formalize a new axiom. The axiom can be seen as a parallel one which characterizes an alternative well-known method of the h-index. In addition, I axiomatically characterize some solutions for cooperative games with transferable utilities. In the games, multiple agents allocate economic surplus generated by their cooperation, and many allocation methods have been introduced. I investigate existing fairness criteria, and formalize several new fairness axioms. Those axioms caracterize some existing solutions in diverse ways.

Academic Significance and Societal Importance of the Research Achievements

科学計量学については、既に様々に特徴付けされている代表的な指標であるh指標との類似点、相違点がより明確になったことで、適切な評価指標の選択の際に役立てられることが見込まれる。また、提携型ゲーム理論については、協調成果の配分において、様々な新しい公平性の視点を提示し、さらに、その視点を含んだ具体的な配分方法も明示したことで、集団的意思決定問題の協調的手段による解決が促されることが見込まれる。

Research Products

• [Journal Article] Effects of players’ nullification and equal (surplus) division values (2018)
  • Author(s): Takumi Kongo
  • Journal Title: International Game Theory Review Volume: 20 Issue: 01 Pages: 14-14
  • DOI: 10.1142/s0219198917500293
  • Peer Reviewed
• [Journal Article] Balanced contributions based on indirect claims and the Shapley value (2018)
  • Author(s): Takumi Kongo
  • Journal Title: Economics Letters Volume: 167 Pages: 48-50
  • DOI: 10.1016/j.econlet.2018.03.008
  • Peer Reviewed
• [Journal Article] The balanced contributions property for equal contributors (2017)
  • Author(s): Koji Yokote, Takumi Kongo, Yukihiko Funaki
  • Journal Title: Games and Economic Behavior Volume: 印刷中 Pages: 113-124
  • DOI: 10.1016/j.geb.2017.08.007
  • Peer Reviewed / Open Access
• [Journal Article] Marginal games and characterizations of the Shapley value in TU games (2017)
  • Author(s): Takumi Kongo、Yukihiko Funaki
  • Journal Title: In: Li DF., Yang XG., Uetz M., Xu GJ. (eds) Game Theory and Applications. China-Dutch GTA 2016, China GTA 2016. Communications in Computer and Information Science Volume: 758 Pages: 165-173
  • DOI: 10.1007/978-981-10-6753-2_12
  • ISBN: 9789811067525, 9789811067532
  • Peer Reviewed
• [Journal Article] The balanced contributions property for symmetric players (2017)
  • Author(s): Koji Yokote, Takumi Kongo
  • Journal Title: Operations Research Letters Volume: 45 Issue: 3 Pages: 227-231
  • DOI: 10.1016/j.orl.2017.03.005
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Further axiomatizations of Egghe's g-index (2015)
  • Author(s): T. Adachi and T. Kongo
  • Journal Title: Journal of Informetrics Volume: 9 Issue: 4 Pages: 839-844
  • DOI: 10.1016/j.joi.2015.07.001
  • Peer Reviewed / Acknowledgement Compliant
• [Presentation] Differential symmetry, symmetry, and differential marginality for TU games (2018)
  • Author(s): Takumi Kongo
  • Organizer: UECE Lisbon Meetings in Game Theory and Applications
  • Int'l Joint Research
• [Presentation] Balanced contributions and null player out for the Shapley, equal surplus division, and equal division values (2017)
  • Author(s): Takumi Kongo, Koji Yokote, Yukihiko Funaki
  • Organizer: The UECE Lisbon Meetings in Game Theory and Applications
  • Int'l Joint Research
• [Presentation] Marginalism and egalitarianism under the equal effect of players’ nullification on the others (2016)
  • Author(s): Takumi Kongo
  • Organizer: European Meeting on Game Theory (SING 12)
  • Place of Presentation: University of Southern Denmark
  • Year and Date: 2016-07-11
  • Int'l Joint Research
• [Presentation] Further axiomatizations of Egghe’s g-index (2015)
  • Author(s): T. Kongo
  • Organizer: East Asian Game Theory Conference 2015
  • Place of Presentation: Waseda University, Tokyo, Japan
  • Year and Date: 2015-08-24
  • Int'l Joint Research
• [Presentation] Further axiomatizations of Egghe’s g-index (2015)
  • Author(s): T. Kongo
  • Organizer: Joint Conference on Logic, Game Theory, and Social Choice 8 and The 8th Pan-Pacific Conference on Game Theory
  • Place of Presentation: Academmia Sinica, Taipei, Taiwan
  • Year and Date: 2015-05-19
  • Int'l Joint Research