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A recursive core for partition function form games

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Author Info
Kóczy, László Á (METEOR)

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Abstract

We present a new solution to partition function form games that is novel in at least two ways. Firstly, the solution exploits the consistency of the partition function form, namely that the response to a deviation is established as the same solution applied to the residual game, itself a partition function form game. This consistency allows us to model residual behaviour in a natural, intuitive way. Secondly, we consider a pair of solutions as the extrema of an interval for set inclusion. Taking the whole interval rather than just one of the extremes enables us to include or exclude outcomes with certainty.

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Paper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 031.

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Date of creation: 2006
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Handle: RePEc:dgr:umamet:2006031

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Keywords: microeconomics ;

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  1. Kóczy, Lászlo Á., 2006. "Sequential Coalition Formation and the Core in the Presence of Externalities," Research Memoranda 047, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
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  2. Richter, Donald K, 1974. "The Core of a Public Goods Economy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(1), pages 131-42, February. [Downloadable!] (restricted)
  3. Rosenthal, Robert W., 1971. "External economies and cores," Journal of Economic Theory, Elsevier, vol. 3(2), pages 182-188, June. [Downloadable!] (restricted)
  4. Sang-Seung, Yi, 1996. "Endogenous formation of customs unions under imperfect competition: open regionalism is good," Journal of International Economics, Elsevier, vol. 41(1-2), pages 153-177, August. [Downloadable!] (restricted)
  5. Huang, Chen-Ying & Sjostrom, Tomas, 2003. "Consistent solutions for cooperative games with externalities," Games and Economic Behavior, Elsevier, vol. 43(2), pages 196-213, May. [Downloadable!] (restricted)
  6. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March. [Downloadable!] (restricted)
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  7. Eyckmans, Johan & Tulkens, Henry, 2003. "Simulating coalitionally stable burden sharing agreements for the climate change problem," Resource and Energy Economics, Elsevier, vol. 25(4), pages 299-327, October. [Downloadable!] (restricted)
  8. 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, vol. 28(2), pages 157-171. [Downloadable!] (restricted)
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