Advanced Search
MyIDEAS: Login

Stationary consistent equilibrium coalition structures constitute the recursive core

Contents:

Author Info

  • László Á. Kóczy

    ()
    (Óbuda University)

Abstract

We study coalitional games where the coalitional payoffs depend on the entire coalition structure. We introduce a noncooperative, sequential coalition formation model and show that the set of equilibrium outcomes coincides with the recursive core, a generalisation of the core to such games. In order to extend past results limited to totally recursive-balanced partition function form games we introduce subgame-consistency that requires perfectness in relevant subgames only, while some unreached subgames are ignored. Due to the externalities, the profitability of deviations depends on the partition formed by the remaining players: the stability of core payoff configurations is ensured by a combination of the pessimism of players going for certain profits only and the assumption that players base their stationary strategies on a made-up history punishing some of the possible deviators -- and getting this sometimes right.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://uni-obuda.hu/users/vecseya/RePEc/pkk/wpaper/1203.pdf
File Function: Manuscript, 2009
Download Restriction: no

Bibliographic Info

Paper provided by Óbuda University, Keleti Faculty of Business and Management in its series Working Paper Series with number 1203.

as in new window
Length: 22 pages
Date of creation: Aug 2012
Date of revision:
Handle: RePEc:pkk:wpaper:1203

Contact details of provider:
Postal: 1084 Budapest, Tavaszmezö u. 15-17
Phone: +36-1-6665208
Fax: +36-1-6665209
Web page: http://www.kgk.uni-obuda.hu
More information through EDIRC

Related research

Keywords: partition function; externalities; implementation; recursive core; stationary perfect equilibrium; time consistent equilibrium JEL Codes: C71; C72;

Other versions of this item:

Find related papers by JEL classification:

This paper has been announced in the following NEP Reports:

References

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
as in new window
  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. CHANDER, Parkash & TULKENS, Henry, 1994. "A Core-Theoretic Solution for the Design of Cooperative Agreements on Transfrontier Pollution," CORE Discussion Papers 1994048, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Chen-Ying Huang & Tomas Sjöström, 2010. "The Recursive Core for Non-Superadditive Games," Games, MDPI, Open Access Journal, vol. 1(2), pages 66-88, April.
  4. Perry, M. & Rany, P., 1992. "A Non-Cooperative View of Coalition Formation and the Core," UWO Department of Economics Working Papers 9203, University of Western Ontario, Department of Economics.
  5. Kyle Hyndman & Debraj Ray, 2007. "Coalition Formation with Binding Agreements," Review of Economic Studies, Oxford University Press, vol. 74(4), pages 1125-1147.
  6. 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.
  7. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-91, June.
  8. Chen Ying Huang & Tomas Sjostrom, 2005. "Implementation of the Recursive Core for Partition Function Form Games," Economics Working Papers 0052, Institute for Advanced Study, School of Social Science.
  9. Shapley, Lloyd S. & Shubik, Martin, 1969. "On market games," Journal of Economic Theory, Elsevier, vol. 1(1), pages 9-25, June.
  10. Fershtman, Chaim, 1989. "Fixed rules and decision rules : Time consistency and subgame perfection," Economics Letters, Elsevier, vol. 30(3), pages 191-194, September.
  11. Francis Bloch, 1995. "Endogenous Structures of Association in Oligopolies," RAND Journal of Economics, The RAND Corporation, vol. 26(3), pages 537-556, Autumn.
  12. 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.
  13. Ray, D. & Vohra, R., 1993. "Equilibrium Binding Agreements," Papers 21, Boston University - Department of Economics.
  14. Muthoo, Abhinay, 1990. "Bargaining without commitment," Games and Economic Behavior, Elsevier, vol. 2(3), pages 291-297, September.
  15. 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.
  16. 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.
  17. Ray, Debraj, 2007. "A Game-Theoretic Perspective on Coalition Formation," OUP Catalogue, Oxford University Press, number 9780199207954.
  18. Asilis, Carlos M., 1995. "A note on the equivalence of time consistency and subgame perfection in stochastic games," European Economic Review, Elsevier, vol. 39(2), pages 245-251, February.
  19. Chatterjee, Kalyan & Bhaskar Dutta & Debraj Ray & Kunal Sengupta, 1993. "A Noncooperative Theory of Coalitional Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 60(2), pages 463-77, April.
Full references (including those not matched with items on IDEAS)

Citations

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:pkk:wpaper:1203. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Alexandra Vécsey).

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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