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The core of an economy with a common pool resource: A partition function form approach


  • Yukihiko Funaki

    () (School of Political Science and Economics, Waseda University, 1-6-1 Nishi-Waseda, Shinjuku-ku, Tokyo 169-8050, Japan)

  • Takehiko Yamato

    () (Faculty of Economics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan)


In this paper we consider a model of an economy with a common pool resource. Under decreasing returns to scale, it is well-known that no Nash equilibrium attains Pareto efficiency. We examine whether it is possible to achieve Pareto efficiency and avoid the tragedy of the commons through cooperation among players. For that purpose, we use the notion of a game in partition function form. Whether or not the core exists depends crucially on the expectations of each coalition regarding the coalition formation of the outsiders. If each coalition has pessimistic expectations, then the core always exists, while if it has optimistic expectations, the core may be empty.

Suggested Citation

  • Yukihiko Funaki & Takehiko Yamato, 1999. "The core of an economy with a common pool resource: A partition function form approach," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(2), pages 157-171.
  • Handle: RePEc:spr:jogath:v:28:y:1999:i:2:p:157-171
    Note: Received: January 1998/Final version: November 1998

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