An application of cooperative game theory

• Project/Area Number: 19530156
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Economic theory
• Research Institution: University of Shizuoka
• Principal Investigator: SUEMATSU Toshiaki University of Shizuoka, 経営情報学部, 准教授 (80216275)
• Co-Investigator(Kenkyū-buntansha): OHIRA Sumihiko 静岡県立大学, 経営情報学部, 准教授 (20194285) ; TODA Manabu 早稲田大学, 社会科学部, 教授 (30217509)
• Project Period (FY): 2007 – 2009
• Project Status: Completed (Fiscal Year 2009)
• Budget Amount: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000); Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2007: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
• Keywords: ゲーム理論 / 費用分担問題 / 提携構造 / 協力ゲーム / 環境問題

Research Abstract

The problem of the optimal coalition structure in cooperative game theory is formalized. The properties of the decision method of coalition structure is examined. The program to calculate all minimal balanced coalition sets in cooperative game theory is accomplished. This program makes a positive analysis by cooperative game theory possible.

Research Products

• [Journal Article] 最近の地域間所得格差の動向について (2009)
  • Author(s): 末松俊明, 大平純彦
  • Journal Title: 経営と情報 22巻 Pages: 39-47
  • NAID: 40016937057
• [Journal Article] 環境問題のゲーム論的分析 (2009)
  • Author(s): 末松俊明, 大平純彦
  • Journal Title: 経営と情報 21巻 Pages: 29-36
  • NAID: 110007172464
• [Journal Article] 最近の地域間所得格差の動向について (2009)
  • Author(s): 末松俊明・大平純彦
  • Journal Title: 経営と情報 22 Pages: 39-47
  • NAID: 40016937057
• [Journal Article] 環境問題のゲーム論的分析 (2009)
  • Author(s): 末松俊明, 大平純彦
  • Journal Title: 経営と情報 21 Pages: 29-36
  • NAID: 110007172464
• [Journal Article] 提携構造決定法とその性質 (2008)
  • Author(s): 末松俊明, 大平純彦
  • Journal Title: 経営と情報 20巻 Pages: 37-44
  • NAID: 40015942356
• [Journal Article] 提携構造決定法とその性質 (2008)
  • Author(s): 末松俊明・大平純彦
  • Journal Title: 『経営と情報』 20
  • NAID: 40015942356
• [Journal Article] Equivalence Results (2007)
  • Author(s): Tomoichi Shinotsuka, Manabu Toda, Equilibrium Existence, Fixed Point Theorems
  • Journal Title: 経済学論集(筑波大学) VOL.58 Pages: 1-15
• [Journal Article] Equilibrium Existence and Fixed Point Theorems: Equivalence Results (2007)
  • Author(s): Tomoichi Shinotsuka・Manabu Toda
  • Journal Title: 筑波大学「経済学論集」 58
  • NAID: 120000835382
• [Presentation] Characterization of the stable solutions in matching markets (2009)
  • Author(s): 戸田学
  • Organizer: ソウル国立大学経済学部ワークショップ
  • Place of Presentation: ソウル国立大学
  • Year and Date: 2009-10-29
• [Presentation] Characterization of the stable solutions in matching markets (2009)
  • Author(s): 戸田学
  • Organizer: The 2nd Taiwan-Dutch and International Confer-ence on Game Theory
  • Place of Presentation: 台湾中央学術院
  • Year and Date: 2009-08-17
• [Presentation] Characterization of the stable solutions in matching markets (2009)
  • Author(s): 戸田学
  • Organizer: The 2nd Taiwan-Dutch and International Conference on Game Theory
  • Place of Presentation: 台湾中央学術院
  • Year and Date: 2009-08-17