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A recursive core for partition function form games

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  • Kóczy László Ã

    (METEOR)

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.

Suggested Citation

  • Kóczy László Ã, 2006. "A recursive core for partition function form games," Research Memorandum 031, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  • Handle: RePEc:unm:umamet:2006031
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    1. 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.
    2. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March.
    3. Henry Tulkens & Parkash Chander, 1997. "The Core of an Economy with Multilateral Environmental Externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(3), pages 379-401.
    4. 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 131-142, February.
    5. Rosenthal, Robert W., 1971. "External economies and cores," Journal of Economic Theory, Elsevier, vol. 3(2), pages 182-188, June.
    6. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
    7. 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.
    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;Game Theory Society, vol. 28(2), pages 157-171.
    9. 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.
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    Cited by:

    1. Kóczy, LászlóÁ., 2015. "Stationary consistent equilibrium coalition structures constitute the recursive core," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 104-110.
    2. Dávid Csercsik & Balázs Sziklai, 2015. "Traffic routing oligopoly," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(4), pages 743-762, December.
    3. Gedai, Endre & Kóczy, László Á. & Meier zu Köcker, Gerd & Zombori, Zita, 2015. "About Cooperation, Selfishness and Joint Risks in Clusters," MPRA Paper 65053, University Library of Munich, Germany.
    4. Rowat, Colin & Kerber, Manfred, 2014. "Sufficient conditions for unique stable sets in three agent pillage games," Mathematical Social Sciences, Elsevier, vol. 69(C), pages 69-80.
    5. Kóczy, László Á., 2009. "Sequential coalition formation and the core in the presence of externalities," Games and Economic Behavior, Elsevier, vol. 66(1), pages 559-565, May.
    6. László Á. Kóczy & Dávid Csercsik, 2011. "Externalities in the games over electrical power transmission networks," Working Paper Series 1103, Óbuda University, Keleti Faculty of Business and Management.
    7. Helga Habis & Dávid Csercsik, 2015. "Cooperation with Externalities and Uncertainty," Networks and Spatial Economics, Springer, vol. 15(1), pages 1-16, March.
    8. 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.
    9. 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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