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Mathematical Analysis of Conflict Resolution

Research Project

Project/Area Number 12680444
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 社会システム工学
Research InstitutionKagawa University

Principal Investigator

SHISHIDO Harunori  Kagawa University, Faculty of Economics, Professor, 経済学部, 教授 (30109144)

Co-Investigator(Kenkyū-buntansha) GUO Peijun  Kagawa University, Faculty of Economics, Associate Professor, 経済学部, 助教授 (60325313)
ZENG Dao-zhi  Kagawa University, Faculty of Economics, Associate Professor, 経済学部, 助教授 (60284345)
Project Period (FY) 2000 – 2001
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 2001: ¥1,200,000 (Direct Cost: ¥1,200,000)
KeywordsConflict / Arbitration / Fair Division / Possibilistic Theory / Inconsistency Degree / Prisoner's Dilemma / 紛争 / 公平 / ゲーム / ラフ集合理論
Research Abstract

We have published 6 papers and made 4 presentations. The summary of each article is as follows:
(1) We give a new existence result for a general game. Then the result is applied to the symmetric arbitration games FOA and DOA. It is shown that DOA leads to a convergence of offers but FOA does not.
(2) We present a new moving knife procedures for ε-approximate envy-free cake division, whose idea also works well for chores division. The procedure is generalized to multi-fair division. The number of necessary cuts is bounded.
(3) Multi-source possibilistic information is presented by a set of possibilistic constraints to characterize decision variables from different information aspects. Possibilistic linear programming is used to integrate multi-source information into upper and lower possibility distributions of decision vector.
(4) We investigate the conflict situation of experts' knowledge. We present how to resolve such conflict to obtain more reliable and refine knowledge that can be used for decision-making.
(5) An alternating prisoner's dilemma game of linear function moves is considered. We present the existence condition of stable equilibrium points when a player plays a game against the players using the same type of strategies.
(6) A dispute among the local government and residents of two regions is analyzed. We present the resolution of the dispute.
(7) We show that the deficiency of combined arbitration and double-offer arbitration can be corrected by a combination with conventional arbitration.

Report

(3 results)
  • 2001 Annual Research Report   Final Research Report Summary
  • 2000 Annual Research Report
  • Research Products

    (27 results)

All Other

All Publications (27 results)

  • [Publications] Zeng, D.-Z., Shishido, H.: "Convergence analysis for symmetric arbitration games FOA and DOA"International Transactions in Operations Research. 8・2. 1-11 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Guo, P., Entani, T., Tanaka, H.: "Fusion of multi-dimensional possibilistic information via possibilistic linear programming"Journal of the Operations Research Society of Japan. 44. 220-229 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Guo, P., Zeng, D.-Z., Shishido, H.: "Possibilistic Conflict Analysis for Group Decision"IEEE Transactions on Systems, Man and Cybernetics 2001 Conference Proceedings. 1224-1228 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Shishido, T., Shishido, H.: "Alternating Continuous Prisoner's Dilemma"IEEE Transactions on Systems, Man and Cybernetics 2001 Conference Proceedings. 1276-1281 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Guo, P., Zeng, D.-Z., Shishido, H.: "Group analysis based on possibility theory for group decision problems"Abstracts of 2001 European Operational Research Conference. 167 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 曽道智, 宍戸栄徳, 山崎章子: "豊島産業廃棄物不法投棄問題についてのコンフリクト解析"香川大学経済論叢. 73・1. 217-240 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Zeng, D.Z.: "A chapter in "Ganie Practice I : Contributions from Applied Game," by F.Patron, I., Garcia-Jurado and S.Tijs."Approximate envy-free procedures. 259-271 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Zeng, D.-Z. and Shishido, H.: "Convergence analysis for symmetric arbitration games FOA and DOA"International Transactions in Operations Research. Vol. 8, NO. 2. 1-11 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Guo, P., Entani, T. and Tanaka, H.: "Fusion of multi-dimensional possibilistic information via possibilistic linear programming"Journal of the Operations Research Society of Japan. Vol. 44. 220-229 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Guo P., Zeng, D.-Z. and Shishido, H.: "Possibilistic Conflict Analysis for Group Decision"IEEE Transactions on Systems, Man and Cybernetics 2001 Conference Proceedings. 1224-1228 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Shishido, T. and Shishido, H.: "Alternating Continuous Prisoner's Dilemma"IEEE Transactions on Systems, Man and Cybernetics 2001 Conference Proceedings. 1276-1281 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Guo P., Zeng, D.-Z. and Shishido, H.: "Group analysis based on possibility theory for group decision problems"Abstracts of 2001 European Operational Research Conference. 167 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Zeng, D.-Z., Shishido, H., and Yamasaki Akiko: "Conflict Analysis of the Dispute about Teshima Island's Industrial Waste"Kagawa University Economic Review. Vol. 73, No. 1. 217-240 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Zeng, D.-Z.: ""Approximate envy-free procedures," a chapter in "Game Practice I: Contributions from Applied Game"by F. Patron, I., Garcia-Jurado and S. Tijs. 259-271 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Zeng, D.-Z., Shishido, H.: "Convergence analysis for symmetric arbitration games FOA and DOA"International Transactions in Operations Research. 8・2. 1-11 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Guo, P., Entani, T., Tanaka, H.: "Fusion of multi-dimensional possibilistic information via possibilistic linear programming"Journal of the Operations Research Society of Japan. 44. 220-229 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Guo, P., D.-Z., Shishido, H.: "Possibilistic Conflict Analysis for Group Decision"IEEE Transactions on Systems, Man and Cybernetics 2001 Conference Proceedings. 1224-1228 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Shishido, T., Shishido, H.: "Alternating Continuous Prisoner's Dilemma"IEEE Transactions on Systems, Man and Cybernetics 2001 Conference Proceedings. 1276-1281 (2000)

    • Related Report
      2001 Annual Research Report
  • [Publications] Guo, P., D.-Z., Shishido, H.: "Group analysis based on possibility theory for group decision problems"Abstracts of 2001 European Operational Research Conference. 167 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 曽道智, 宍戸栄徳, 山崎章子: "豊島産業廃棄物不法投棄問題についてのコンフリクト解析"香川大学経済論叢. 73・1. 217-240 (2000)

    • Related Report
      2001 Annual Research Report
  • [Publications] Zeng, D.-Z.: "A chapter in "Game Practice I : Contributions from Applied Game," by F. Patron, I., Garcia-Jurado and S. Tijs"Approximate every-free procedures. 259-271 (2000)

    • Related Report
      2001 Annual Research Report
  • [Publications] Zeng,D.-Z.and Shishido,S.: "Convergence analysis for symmetric arbitration games FOA and DOA"International Transactions in Operational Research. 8・2. 1-11 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Guo,P.,Tanaka,H.and Inuiguchi,M.: "Self-organizing fuzzy aggregation models to rank the objects with multiple attributes"IEEE Transactions on Systems, Man, and Cybernetics-Part A : Systems and Humans. 30・5. 573-580 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Guo,P.,Tanaka,H.and Zimmermann,H.-J.: "Upper and lower possibility distributions of fuzzy decision variables in upper level decision problems"Fuzzy Sets and Systems. 111. 71-79 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Guo,P.: "Decision analysis based on possibility theory"香川大学経済論業. 73・2. 111-140 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Tanaka,H.,Guo,P.and Zimmermann,H.-J.: "Possibility distributions of fuzzy decision variables obtained from possibilistic linear programming problems"Fuzzy Sets and Systems. 113. 323-332 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 曽道智,宍戸栄徳,山崎章子: "豊島産業廃棄物不法投棄問題についてのコンフリクト解析"香川大学経済論叢. 73・1. 217-240 (2000)

    • Related Report
      2000 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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