IDEAS home Printed from https://ideas.repec.org/a/kap/theord/v63y2007i1p41-51.html
   My bibliography  Save this article

A recursive core for partition function form games

Author

Listed:
  • László Kóczy

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

Suggested Citation

  • László Kóczy, 2007. "A recursive core for partition function form games," Theory and Decision, Springer, vol. 63(1), pages 41-51, August.
    • Handle: RePEc:kap:theord:v:63:y:2007:i:1:p:41-51
    DOI: 10.1007/s11238-007-9030-x
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11238-007-9030-x
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s11238-007-9030-x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Parkash Chander & Henry Tulkens, 2006. "The Core of an Economy with Multilateral Environmental Externalities," Springer Books, in: Parkash Chander & Jacques Drèze & C. Knox Lovell & Jack Mintz (ed.), Public goods, environmental externalities and fiscal competition, chapter 0, pages 153-175, Springer.
    2. 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.
    3. Johan Eyckmans & Henry Tulkens, 2006. "Simulating Coalitionally Stable Burden Sharing Agreements for the Climate Change Problem," Springer Books, in: Parkash Chander & Jacques Drèze & C. Knox Lovell & Jack Mintz (ed.), Public goods, environmental externalities and fiscal competition, chapter 0, pages 218-249, Springer.
    4. R. M. Thrall & W. F. Lucas, 1963. "N‐person games in partition function form," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 10(1), pages 281-298, March.
    5. Rosenthal, Robert W., 1971. "External economies and cores," Journal of Economic Theory, Elsevier, vol. 3(2), pages 182-188, June.
    6. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March.
    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 131-142, February.
    8. 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.
    9. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
    10. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, July.
    2. Kóczy, LászlóÁ., 2015. "Stationary consistent equilibrium coalition structures constitute the recursive core," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 104-110.
    3. Laszlo A. Koczy, 2019. "The risk-based core for cooperative games with uncertainty," CERS-IE WORKING PAPERS 1906, Institute of Economics, Centre for Economic and Regional Studies.
    4. Maria Montero, 2023. "Coalition Formation in Games with Externalities," Dynamic Games and Applications, Springer, vol. 13(2), pages 525-548, June.
    5. László Á. Kóczy & Péter Biró & Balázs Sziklai, 2012. "Fair apportionment of voting districts in Hungary?," Working Paper Series 1204, Óbuda University, Keleti Faculty of Business and Management.
    6. Parkash Chander, 2020. "Stability of the merger-to-monopoly and a core concept for partition function games," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(4), pages 953-973, December.
    7. Ray, Debraj & Vohra, Rajiv, 2015. "Coalition Formation," Handbook of Game Theory with Economic Applications,, Elsevier.
    8. Flåm, Sjur Didrik, 2002. "Balanced Environmental Games," Working Papers in Economics 17/02, University of Bergen, Department of Economics.
    9. Aymeric Lardon, 2019. "On the coalitional stability of monopoly power in differentiated Bertrand and Cournot oligopolies," Theory and Decision, Springer, vol. 87(4), pages 421-449, November.
    10. Parkash Chander, 2007. "The gamma-core and coalition formation," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(4), pages 539-556, April.
    11. Takeda, Kohei & Hosoe, Toyoki & Watanabe, Takayuki & Matsubayashi, Nobuo, 2018. "Stability analysis of horizontal mergers in a market with asymmetric substitutability," Mathematical Social Sciences, Elsevier, vol. 96(C), pages 73-84.
    12. Takaaki Abe & Yukihiko Funaki, 2021. "The projective core of symmetric games with externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 167-183, March.
    13. Yang, Guangjing & Sun, Hao, 2023. "The recursive nucleolus for partition function form games," Journal of Mathematical Economics, Elsevier, vol. 104(C).
    14. Basso, Franco & Basso, Leonardo J. & Rönnqvist, Mikael & Weintraub, Andres, 2021. "Coalition formation in collaborative production and transportation with competing firms," European Journal of Operational Research, Elsevier, vol. 289(2), pages 569-581.
    15. Pedro Pintassilgo & Lone Kronbak & Marko Lindroos, 2015. "International Fisheries Agreements: A Game Theoretical Approach," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 62(4), pages 689-709, December.
    16. Giorgos Stamatopoulos, 2020. "On the $$\gamma $$γ-core of asymmetric aggregative games," Theory and Decision, Springer, vol. 88(4), pages 493-504, May.
    17. Johan Eyckmans & Michael Finus, 2006. "New roads to international environmental agreements: the case of global warming," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 7(4), pages 391-414, December.
    18. Stefan Ambec & Yann Kervinio, 2016. "Cooperative decision-making for the provision of a locally undesirable facility," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(1), pages 119-155, January.
    19. Schultz, Bill, 2020. "Resource management and joint-planning in fragmented societies," Ecological Economics, Elsevier, vol. 171(C).
    20. Koczy, Laszlo A., 2006. "The core can be accessed with a bounded number of blocks," Journal of Mathematical Economics, Elsevier, vol. 43(1), pages 56-64, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:theord:v:63:y:2007:i:1:p:41-51. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.