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The Core of a Partition Function Game

  • Laszlo A Koczy

We consider partition function games and introduce new definitions of the core that include the effects of externalities. We assume that all players behave rationally and that all stable outcomes arising are consistent with the appropriate generalised concept of the core. The result is a recursive definition of the core where residual subgames are considered as games with fewer players and with a partition function that captures the externalities of the deviating coalition. Some properties of the new concepts are discussed.

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File URL: http://feb.kuleuven.be/drc/Economics/research/old-dps-papers/Dps00/Dps0025.pdf
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Paper provided by KU Leuven, Faculty of Economics and Business, Department of Economics in its series Working Papers Department of Economics with number ces0025.

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Date of creation: Mar 2000
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Handle: RePEc:ete:ceswps:ces0025
Contact details of provider: Web page: http://feb.kuleuven.be/Economics/

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  1. Claude d'Aspremont & Alexis Jacquemin & Jean Jaskold Gabszewicz & John A. Weymark, 1983. "On the Stability of Collusive Price Leadership," Canadian Journal of Economics, Canadian Economics Association, vol. 16(1), pages 17-25, February.
  2. Chander, Parkash & Tulkens, Henry, 1994. "The Core of an Economy With Multilateral Environmental Externalities," Working Papers 886, California Institute of Technology, Division of the Humanities and Social Sciences.
  3. Becker, Robert A & Chakrabarti, Subir K, 1995. "The Recursive Core," Econometrica, Econometric Society, vol. 63(2), pages 401-23, March.
  4. Herbert E. Scarf, 1965. "The Core of an N Person Game," Cowles Foundation Discussion Papers 182R, Cowles Foundation for Research in Economics, Yale University.
  5. 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.
  6. Massimo Morelli & Philippe Penelle, 1997. "Economic Integration as a Partition Function Game," Working Papers 9702, Harris School of Public Policy Studies, University of Chicago.
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