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A recursive core for partition function form games

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  • László Kóczy

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Abstract

We present a well-defined generalisation of the core to coalitional games with externalities, where the value of a deviation is given by an endogenous response, the solution (if nonempty: the core) of the residual game. Copyright Springer Science+Business Media, LLC 2007

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File URL: http://hdl.handle.net/10.1007/s11238-007-9030-x
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Bibliographic Info

Article provided by Springer in its journal Theory and Decision.

Volume (Year): 63 (2007)
Issue (Month): 1 (August)
Pages: 41-51

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Handle: RePEc:kap:theord:v:63:y:2007:i:1:p:41-51

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Web page: http://www.springerlink.com/link.asp?id=100341

Related research

Keywords: core; externalities; optimism; partition function; pessimism;

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References

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  1. EYCKMANS, Johan & TULKENS, Henry, . "Simulating coalitionally stable burden sharing agreements for the climate change problem," CORE Discussion Papers RP -1677, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Ray, D. & Vohra, R., 1993. "Equilibrium Binding Agreements," Papers 21, Boston University - Department of Economics.
  3. 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.
  4. 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.
  5. Rosenthal, Robert W., 1971. "External economies and cores," Journal of Economic Theory, Elsevier, vol. 3(2), pages 182-188, June.
  6. 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.
  7. 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.
  8. 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.
  9. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
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Cited by:
  1. Okada, Akira, 2010. "The Nash bargaining solution in general n-person cooperative games," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2356-2379, November.
  2. Kóczy, Lászlo Á., 2006. "Sequential Coalition Formation and the Core in the Presence of Externalities," Research Memorandum 047, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  3. David Csercsik & Laszlo A. Koczy, 2011. "Externalities in the games over electrical power transmission networks," IEHAS Discussion Papers 1125, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
  4. Subhadip Chakrabarti & Robert Gilles & Emiliya Lazarova, 2011. "Strategic behavior under partial cooperation," Theory and Decision, Springer, vol. 71(2), pages 175-193, August.

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