IDEAS home Printed from https://ideas.repec.org/p/wpa/wuwpga/0111002.html
   My bibliography  Save this paper

Accession Games: A Dynamic Per-Member Partition Function Aapproach

Author

Listed:
  • László Á. Kóczy

    (Katholieke Unversiteit Leuven)

Abstract

In this paper we define and solve the accession game, a dynamic game containing a union and a set of applicants with a per-member partition function satisfying the conditions of Yi [17] to include negative externalities. The solution gives an equilibrium partition of the players as well as, after Morelli and Penelle [12], the optimal path, a subgame-perfect sequence of partitions, where each player maximises the present value of its payo.s subject to others’ moves. While this game can be applied in general our motivation was to model the ongoing extensions of the European Union.

Suggested Citation

  • László Á. Kóczy, 2001. "Accession Games: A Dynamic Per-Member Partition Function Aapproach," Game Theory and Information 0111002, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpga:0111002
    Note: Type of Document - AMS-LaTeX; prepared on IBM PC - PC-TEX; to print on PostScript; pages: 15; figures: none
    as

    Download full text from publisher

    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/0111/0111002.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Bennett, E. & van Damme, E.E.C., 1990. "Demand commitment bargaining : The case of apex games," Discussion Paper 1990-62, Tilburg University, Center for Economic Research.
    2. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March.
    3. Weber, Robert J., 1994. "Games in coalitional form," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 36, pages 1285-1303, Elsevier.
    4. Massimo Morelli & Philippe Penelle, 1997. "Economic Integration as a Partition Function Game," Working Papers 9702, Harris School of Public Policy Studies, University of Chicago.
    5. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
    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. 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.
    2. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, March.
    3. Dutta, Rohan & Levine, David Knudsen & Modica, Salvatore, 2018. "Collusion constrained equilibrium," Theoretical Economics, Econometric Society, vol. 13(1), January.
    4. Santiago Sánchez-Pagés, 2007. "Endogenous coalition formation in contests," Review of Economic Design, Springer;Society for Economic Design, vol. 11(2), pages 139-163, September.
    5. Effrosyni Diamantoudi, 2003. "Equilibrium binding agreements under diverse behavioral assumptions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(2), pages 431-446, September.
    6. Ray, Debraj & Vohra, Rajiv, 2015. "Coalition Formation," Handbook of Game Theory with Economic Applications,, Elsevier.
    7. Bhaskar Dutta & Rajiv Vohra, 2015. "Rational Expectations and Farsighted Stability," Working Papers 2015-10, Brown University, Department of Economics.
    8. Conconi, Paola & Perroni, Carlo, 2002. "Issue linkage and issue tie-in in multilateral negotiations," Journal of International Economics, Elsevier, vol. 57(2), pages 423-447, August.
    9. Barbera, Salvador & Gerber, Anke, 2003. "Corrigendum to "On coalition formation: durable coalition structures": [Mathematical Social Sciences 45 (2003) 185-203]," Mathematical Social Sciences, Elsevier, vol. 46(3), pages 355-356, December.
    10. Conconi, P., 2000. "Trade Bloc Formation Under Imperfect Competition," The Warwick Economics Research Paper Series (TWERPS) 571, University of Warwick, Department of Economics.
    11. Geir B. Asheim, 1997. "Individual and Collective Time-Consistency," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 64(3), pages 427-443.
    12. Diamantoudi, Effrosyni & Xue, Licun, 2007. "Coalitions, agreements and efficiency," Journal of Economic Theory, Elsevier, vol. 136(1), pages 105-125, September.
    13. Antoine Soubeyran & Hubert Stahn, 2007. "Do Investments in Specialized Knowledge Lead to Composite Good Industries?," Small Business Economics, Springer, vol. 29(1), pages 119-135, June.
    14. Michael Finus & Bianca Rundshagen, 2009. "Membership rules and stability of coalition structures in positive externality games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(3), pages 389-406, March.
    15. Bloch, Francis & Dutta, Bhaskar, 2009. "Correlated equilibria, incomplete information and coalitional deviations," Games and Economic Behavior, Elsevier, vol. 66(2), pages 721-728, July.
    16. Nicolas Marceau & Gordon M. Myers, 2000. "From Foraging to Agriculture," Discussion Papers dp00-07, Department of Economics, Simon Fraser University, revised Feb 2000.
    17. Ambrus, Attila, 2009. "Theories of Coalitional Rationality," Scholarly Articles 3204917, Harvard University Department of Economics.
    18. Michelle R. Garfinkel, 2004. "On the Stability of Group Formation: Managing the Conflict Within," Conflict Management and Peace Science, Peace Science Society (International), vol. 21(1), pages 43-68, February.
    19. Brangewitz, Sonja & Brockhoff, Sarah, 2017. "Sustainability of coalitional equilibria within repeated tax competition," European Journal of Political Economy, Elsevier, vol. 49(C), pages 1-23.
    20. Burbidge, John B. & James A. DePater & Gordon M. Meyers & Abhijit Sengupta, 1997. "A Coalition-Formation Approach to Equilibrium Federations and Trading Blocs," American Economic Review, American Economic Association, vol. 87(5), pages 940-956, December.

    More about this item

    Keywords

    partition function; externalities; path dependence;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:wpa:wuwpga:0111002. 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: EconWPA (email available below). General contact details of provider: https://econwpa.ub.uni-muenchen.de .

    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.