IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v200y2021ics0165176521000276.html
   My bibliography  Save this article

Stability and values for games with coalition structures

Author

Listed:
  • Abe, Takaaki

Abstract

Casajus (2008) established a link between coalition formation in hedonic games and players’ preferences over coalition structures. He showed that if a value concept for games with coalition structures (a CS-value) satisfies the splitting property and the aggregate component independence property, then the CS-value induces a hedonic game satisfying the common ranking property and yields a nonempty core. The following question was left open: What CS-values induce a hedonic game that does not satisfy the common ranking property but has a nonempty core? In this paper, we offer a set of properties that induces a hedonic game satisfying the top-coalition property, which is less demanding than the common ranking property but generates a nonempty core.

Suggested Citation

  • Abe, Takaaki, 2021. "Stability and values for games with coalition structures," Economics Letters, Elsevier, vol. 200(C).
    • Handle: RePEc:eee:ecolet:v:200:y:2021:i:c:s0165176521000276
    DOI: 10.1016/j.econlet.2021.109750
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176521000276
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econlet.2021.109750?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
    2. Andreas Tutic, 2010. "The Aumann-Drèze Value, The Wiese Value, And Stability: A Note," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 12(02), pages 189-195.
    3. Casajus, André, 2009. "Outside options, component efficiency, and stability," Games and Economic Behavior, Elsevier, vol. 65(1), pages 49-61, January.
    4. Harald Wiese, 2007. "Measuring The Power Of Parties Within Government Coalitions," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(02), pages 307-322.
    5. Casajus, André, 2008. "On the stability of coalition structures," Economics Letters, Elsevier, vol. 100(2), pages 271-274, August.
    6. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
    7. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 135-153.
    8. AUMANN, Robert J. & DREZE, Jacques H., 1974. "Cooperative games with coalition structures," LIDAM Reprints CORE 217, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Satoshi Nakada & Ryo Shirakawa, 2023. "On the unique core partition of coalition formation games: correction to İnal (2015)," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(3), pages 517-521, April.
    2. Tobias Hiller, 2023. "Training, Abilities and the Structure of Teams," Games, MDPI, vol. 14(3), pages 1-8, May.

    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. Tobias Hiller, 2023. "Training, Abilities and the Structure of Teams," Games, MDPI, vol. 14(3), pages 1-8, May.
    2. Tobias Hiller, 2022. "Abilities and the structure of the firm," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 69(3), pages 339-349, September.
    3. Takaaki Abe, 2018. "Stable coalition structures in symmetric majority games: a coincidence between myopia and farsightedness," Theory and Decision, Springer, vol. 85(3), pages 353-374, October.
    4. Elena Parilina & Artem Sedakov, 2016. "Stable Cooperation in a Game with a Major Player," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 1-20, June.
    5. Casajus, André & La Mura, Pierfrancesco, 2024. "Null players, outside options, and stability: The conditional Shapley value," Journal of Mathematical Economics, Elsevier, vol. 110(C).
    6. Antonio Magaña & Francesc Carreras, 2018. "Coalition Formation and Stability," Group Decision and Negotiation, Springer, vol. 27(3), pages 467-502, June.
    7. Ray, Debraj & Vohra, Rajiv, 2015. "Coalition Formation," Handbook of Game Theory with Economic Applications,, Elsevier.
    8. Geoffroy de Clippel & Roberto Serrano, 2008. "Marginal Contributions and Externalities in the Value," Econometrica, Econometric Society, vol. 76(6), pages 1413-1436, November.
    9. Gusev, Vasily V., 2021. "Nash-stable coalition partition and potential functions in games with coalition structure," European Journal of Operational Research, Elsevier, vol. 295(3), pages 1180-1188.
    10. Casajus, André & Tutić, Andreas, 2013. "Nash bargaining, Shapley threats, and outside options," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 262-267.
    11. Xianghui Li & Yang Li, 2021. "On the Structural Stability of Values for Cooperative Games," Journal of Optimization Theory and Applications, Springer, vol. 189(3), pages 873-888, June.
    12. Tobias Hiller, 2018. "On the Stability of Couples," Games, MDPI, vol. 9(3), pages 1-10, July.
    13. Takaaki Abe, 2019. "Stable Coalition Structures: Characterizations and Applications of Hart and Kurz's Four Stability Concepts," Working Papers 1812, Waseda University, Faculty of Political Science and Economics.
    14. Michel Le Breton & Karine Van Der Straeten, 2017. "Alliances Électorales et Gouvernementales : La Contribution de la Théorie des Jeux Coopératifs à la Science Politique," Revue d'économie politique, Dalloz, vol. 127(4), pages 637-736.
    15. Tobias Hiller, 2022. "Allocation of portfolio risk and outside options," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(7), pages 2845-2848, October.
    16. André Casajus, 2010. "Another characterization of the Owen value without the additivity axiom," Theory and Decision, Springer, vol. 69(4), pages 523-536, October.
    17. Gabrielle Demange, 2017. "The stability of group formation," Revue d'économie politique, Dalloz, vol. 127(4), pages 495-516.
    18. Yoshio Kamijo, 2013. "The collective value: a new solution for games with coalition structures," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(3), pages 572-589, October.
    19. 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.
    20. Herings, P. Jean-Jacques & Saulle, Riccardo & Seel, Christian, 2018. "The Last will be First, and the First Last: Segregation in Societies with Positional Externalities," Research Memorandum 027, Maastricht University, Graduate School of Business and Economics (GSBE).

    More about this item

    Keywords

    Core; Coalition formation; Hedonic games; Stability;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

    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:eee:ecolet:v:200:y:2021:i:c:s0165176521000276. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    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.