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Common Pool Games Are Convex Games

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  • Meinhardt, Holger

Abstract

For the class of cooperative common pool games the paper focuses on the question of how, during the preplay negotiation process, the ability of coalitions to enforce their claims imposes externalities on the opposition by having an impact on the jointly produced resource. One of our main results is that common pool games are clear games. Based on this result we are able to derive sufficient conditions for the convexity of the characteristic function, which establishes the second main result in the paper, namely that cooperative common pool games are characterized by increasing returns with respect to the coalition size. Copyright 1999 by Blackwell Publishing Inc.

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Bibliographic Info

Article provided by Association for Public Economic Theory in its journal Journal of Public Economic Theory.

Volume (Year): 1 (1999)
Issue (Month): 2 ()
Pages: 247-70

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Handle: RePEc:bla:jpbect:v:1:y:1999:i:2:p:247-70

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Cited by:
  1. Norde, H.W. & Pham Do, K.H. & Tijs, S.H., 2002. "Oligopoly games with and without transferable technologies," Open Access publications from Tilburg University urn:nbn:nl:ui:12-89249, Tilburg University.
  2. Santiago S?chez-Pag?, . "Rivalry, Exclusion and Coalitions," UFAE and IAE Working Papers 547.02, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  3. Trine Tornøe Platz & Lars Peter Østerdal, 2013. "Forming and Dissolving Partnerships in Cooperative Game Situations," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 15(2), pages 208-228, 04.
  4. Driessen, Theo S.H. & Meinhardt, Holger I., 2005. "Convexity of oligopoly games without transferable technologies," Mathematical Social Sciences, Elsevier, vol. 50(1), pages 102-126, July.
  5. Axel Ostmann & Holger Meinhardt, 2007. "Non-binding agreements and fairness in commons dilemma games," Central European Journal of Operations Research, Springer, vol. 15(1), pages 63-96, March.

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