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A Game Theoretical Analysis of Cooperation and Coalition Formation

Research Project

Project/Area Number 13630009
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 経済理論
Research InstitutionKyoto University

Principal Investigator

OKADA Akira  Kyoto University, Institute of Economic Research, Professor, 経済研究所, 教授 (90152298)

Project Period (FY) 2001 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 2003: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2002: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2001: ¥1,300,000 (Direct Cost: ¥1,300,000)
Keywordsgame theory / cooperation / coalition formation / bargaining / evolutionary game / Nash equilibrium / global warming / Kyoto protocol / 組織 / 交渉ゲーム
Research Abstract

The aim of this research is to investigate conditions and mechanisms for voluntary cooperation and coalition formation among economic agents pursuing their own values, by applying new methodologies in game theory. The research consists of the following three topics about voluntary cooperation and coalition formation.
(1) noncooperative bargaining models for cooperation and coalition formation
We present a noncooperative sequential bargaining model for a general n-person strategic game where cooperation by a group of players may induce externality to other players. We first define a new notion of the core, called the Nash core, of the n-person strategic game. The Nash-core is defined by a new notion of effectiveness of a payoff allocation, which is based on the idea that when a coalition forms, a response by, the compliment coalition should be consistent with the Nash bargaining solution of their negotiations. We prove that the largest group of players forms in a stationary subgame perfect equilibrium of the bargaining model if and only if the Nash bargaining solution of the game belongs to the Nash core. Moreover, negotiations result in the Nash bargaining solution outcome. We design and conduct bargaining experiments to test theoretical predictions. We show that bargaining outcomes of coalition formation are substantially influenced by reciprocal behavior of subjects.
(2) evolutionary analysis of group formation
We present an evolutionary game model for group formation in the collective action problem and investigate how heterogeneous preferences affect a long-run equilibrium for group formation.
(3) economic applications
We apply theoretical models developed in the research to international negotiations on climate change in the Kyoto protocol. We investigate how noncooperative bargaining models can explain the C02 emissions reduction agreed in the Kyoto protocol, based on actual data about emissions by EU, Former Soviet Union, Japan and USA.

Report

(4 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • Research Products

    (21 results)

All Other

All Publications (21 results)

  • [Publications] Maria Montero, Akira Okada: "Riskless versus Risky Bargaining Procedures : The Aumann-Roth Controversy Revisited"Discussion Paper, Institute of Economic Research Kyoto University. No.534. 1-11 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Toshimasa Maruta, Akira Okada: "Stochastic Stability of Group Formation in Collective Action Games"Discussion Paper, Institute of Economic Research Kyoto University. No.536. 1-50 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 岡田 章: "グループ形成と非協力n人交渉ゲーム"今井晴雄, 岡田章(編著)、ゲーム理論の新展開. 205-240 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Akira Okada, Eyal Winter: "A Noncooperative Axiomatization of the Core"Theory and Decision. 53・1. 1-28 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Akira Okada: "A Market Game Analysis of International CO2 Emissions Trading : Evaluating Initial Allocation Rules"Takamitsu Sawa (ed.), International Frameworks and Technological Strategies to Prevent Climate Change. 3-21 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Akira Okada: "International Negotiations on Climate Change : A Non-cooperative Game Analysis of the Kyoto Protocol"Discussion Paper, Institute of Economic Research Kyoto University. No.579. 1-32 (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Maria Montero, Akira Okada: "Riskless versus Risky Bargaining Procedures: The Aumann-Roth Controversy Revisited"KIER Discussion Paper. No.534. 1-11 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Toshimasa Maruta, Akira Okada: "Stochastic Stability of Group Formation in Collective Action Games"KIER Discussion Paper. No.536. 1-50 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Akira Okada: "Group Formation and noncooperative n-person Bargaining Game"(Haruo Imai, Akira Okada (eds.))New Developments of Game Theory(Keiso-Shobo). 205-240 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Akira Okada, Eyal Winter: "A Noncooperative Axiomatization of the Core"Theory and Decision. Vol.53. 1-28 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Akira Okada: "A Market Game Analysis of International C02 Emissions Trading : Evaluating Initial Allocation Rules"Takamitsu Sawa (ed.), International Frameworks and Technological Strategies to Prevent Climate Change, (Springer). 3-21 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Akira Okada: "International Negotiations on Climate Change: A Non-cooperative Game Analysis of the Kyoto Protocol"KIER Discussion Paper. No.579. 1-32 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Akira Okada, Eyal Winter: "A Noncooperative Axiomatization of the Core"Theory and Decision. 53・1. 1-28 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Akira Okada: "A Market Game Analysis of International CO2 Emissions Trading : Evaluating Initial Allocation Rules"Takamitsu Sawa (ed.), International Frameworks and Technological Strategies to Prevent Climate Change. 3-21 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Akira Okada: "International Negotiations on Climate Change : A Non-cooperative Game Analysis of the Kyoto Protocol"Discussion Paper, Institute of Economic Research Kyoto University. No.579. 1-32 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Akira Okada, Eyal Winter: "A Noncooperative Axiomatization of the Core"Theory and Decision. 53・1. 1-28 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Akira Okada: "A Market Game Analysis of International C02 Emissions Trading : Evaluating Initial Allocation Rules"Takamitsu Sawa (ed.), International Frameworks and Technological Strategies to Prevent Climate Change. 3-21 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 岡田章(今井晴雄と共編著): "ゲーム理論の新展開"勁草書房. 270 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Okada, Akira (with Maria Montero): "Riskless versus Risky Bargaining Procedures : The Aumann-Roth Controversy Revisited"Discussion Paper, Institute of Economic Research Kyoto University. No.534. 1-11 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Okada, Akira (with Toshimasa Maruta): "Stochastic Stability of Group Formation in Collective Action Games"Discussion Paper, Institute of Economic Research Kyoto University. No.536. 1-50 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 岡田 章: "経済学・経営学のための数学"東洋経済新報社. 283 (2001)

    • Related Report
      2001 Annual Research Report

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

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