IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/14725.html
   My bibliography  Save this paper

Evolution of Coalition Structures under Uncertainty

Author

Listed:
  • De Marco, Giuseppe
  • Romaniello, Maria

Abstract

In Hart and Kurz (1983), stability and formation of coalition structures has been investigated in a noncooperative framework in which the strategy of each player is the coalition he wishes to join. However, given a strategy profile, the coalition structure formed is not unequivocally determined. In order to solve this problem, they proposed two rules of coalition structure formation: the $\gamma$ and the $\delta$ models. \par In this paper we look at evolutionary games arising from the $\gamma$ model for situations in which each player can choose mixed strategies and has vague expectations about the formation rule of the coalitions in which is not involved; players determine at every instant their strategies and we study how, for every player, subjective beliefs on the set of coalition structures evolve coherently to the strategic choices. Coherency is regarded as a viability constraint for the differential inclusions describing the evolutionary game. Therefore, we investigate viability properties of the constraints and characterize velocities of pairs belief/strategies which guarantee that coherency of beliefs is always satisfied. Finally, among many coherent belief revisions (evolutions), we investigate those characterized by minimal change and provide existence results.

Suggested Citation

  • De Marco, Giuseppe & Romaniello, Maria, 2008. "Evolution of Coalition Structures under Uncertainty," MPRA Paper 14725, University Library of Munich, Germany, revised 16 Apr 2009.
    • Handle: RePEc:pra:mprapa:14725
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/14725/5/MPRA_paper_14725.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. repec:dau:papers:123456789/6881 is not listed on IDEAS
    2. Andrés Perea, 2009. "A Model of Minimal Probabilistic Belief Revision," Theory and Decision, Springer, vol. 67(2), pages 163-222, August.
    3. Jean-Pierre Aubin, 2003. "Regulation of the evolution of the architecture of a network by tensors operating on coalitions of actors," Journal of Evolutionary Economics, Springer, vol. 13(2), pages 95-124, April.
    4. Giuseppe De Marco & Maria Romaniello, 2006. "Dynamics of Mixed Coalitions Under Social Cohesion Constraints," Mathematical Population Studies, Taylor & Francis Journals, vol. 13(1), pages 39-62.
    5. Konishi, Hideo & Ray, Debraj, 2003. "Coalition formation as a dynamic process," Journal of Economic Theory, Elsevier, vol. 110(1), pages 1-41, May.
    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. Olivier Compte & Philippe Jehiel, 2010. "The Coalitional Nash Bargaining Solution," Econometrica, Econometric Society, vol. 78(5), pages 1593-1623, September.
    2. Ulrich Faigle & Michel Grabisch, 2012. "Values for Markovian coalition processes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(3), pages 505-538, November.
    3. Jung, Hanjoon Michael, 2009. "Spatial pillage game," Journal of Mathematical Economics, Elsevier, vol. 45(11), pages 701-707, December.
    4. Bloch, Francis & van den Nouweland, Anne, 2020. "Farsighted stability with heterogeneous expectations," Games and Economic Behavior, Elsevier, vol. 121(C), pages 32-54.
    5. Thomas Demuynck & P. Jean‐Jacques Herings & Riccardo D. Saulle & Christian Seel, 2019. "The Myopic Stable Set for Social Environments," Econometrica, Econometric Society, vol. 87(1), pages 111-138, January.
    6. Page, Frank Jr. & Wooders, Myrna H. & Kamat, Samir, 2005. "Networks and farsighted stability," Journal of Economic Theory, Elsevier, vol. 120(2), pages 257-269, February.
    7. Hubert Kempf & Fabien Moizeau, 2009. "Inequality, Growth, and the Dynamics of Social Segmentation," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 11(4), pages 529-564, August.
    8. Vincent Anesi & Philippe De Donder, 2011. "Secondary issues and party politics: an application to environmental policy," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 36(3), pages 519-546, April.
    9. Kimya, Mert, 2020. "Farsighted Objections and Maximality in One-to-one Matching Problems," Working Papers 202014, University of Sydney, School of Economics, revised Jul 2021.
    10. Kai A. Konrad & Thomas R. Cusack, 2013. "Hanging Together or Being Hung Separately: The Strategic Power of Coalitions where Bargaining Occurs with Incomplete Information," CESifo Working Paper Series 4071, CESifo.
    11. Roberto Serrano & Oscar Volij, 2008. "Mistakes in Cooperation: the Stochastic Stability of Edgeworth's Recontracting," Economic Journal, Royal Economic Society, vol. 118(532), pages 1719-1741, October.
    12. Seok, Hyesung & Nof, Shimon Y., 2014. "Dynamic coalition reformation for adaptive demand and capacity sharing," International Journal of Production Economics, Elsevier, vol. 147(PA), pages 136-146.
    13. Vincent Anesi, 2012. "A new old solution for weak tournaments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(4), pages 919-930, October.
    14. Jean-Pierre Aubin & Luxi Chen & Marie-Hélène Durand, 2013. "Dynamic decentralization of harvesting constraints in the management of tychastic evolution of renewable resources," Computational Management Science, Springer, vol. 10(4), pages 281-298, December.
    15. Bloch, Francis & Gomes, Armando, 2006. "Contracting with externalities and outside options," Journal of Economic Theory, Elsevier, vol. 127(1), pages 172-201, March.
    16. Kenzo Imamura & Hideo Konishi, 2023. "Assortative Matching with Externalities and Farsighted Agents," Dynamic Games and Applications, Springer, vol. 13(2), pages 497-509, June.
    17. Jean-François Caulier & Michel Grabisch & Agnieszka Rusinowska, 2015. "An allocation rule for dynamic random network formation processes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(2), pages 283-313, October.
    18. Debraj Ray & Rajiv Vohra, 2015. "The Farsighted Stable Set," Econometrica, Econometric Society, vol. 83(3), pages 977-1011, May.
    19. François Bareille & Matteo Zavalloni & Davide Viaggi, 2023. "Agglomeration bonus and endogenous group formation," American Journal of Agricultural Economics, John Wiley & Sons, vol. 105(1), pages 76-98, January.
    20. Murray, Cameron K. & Frijters, Paul & Vorster, Melissa, 2017. "The back-scratching game," Journal of Economic Behavior & Organization, Elsevier, vol. 142(C), pages 494-508.

    More about this item

    Keywords

    Coalition formation; coherent beliefs; differential inclusions; viability theory; minimal change belief revision;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

    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:pra:mprapa:14725. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.