IDEAS home Printed from https://ideas.repec.org/a/gam/jgames/v1y2010i2p159-167d8791.html
   My bibliography  Save this article

Balanced Weights and Three-Sided Coalition Formation

Author

Listed:
  • Emiliya Lazarova

    (Management School, Queen’s University Belfast, 25 University Square, Belfast BT7 1NN, UK)

  • Dinko Dimitrov

    (Faculty of Law and Economics, Saarland University, Campus C3 1, 66123 Saarbruecken, Germany)

Abstract

We consider three-sided coalition formation problems when each agent is concerned about his local status as measured by his relative rank position within the group of his own type and about his global status as measured by the weighted sum of the average rankings of the other types of groups. We show that a core stable coalition structure always exists, provided that the corresponding weights are balanced and each agent perceives the two types of status as being substitutable.

Suggested Citation

  • Emiliya Lazarova & Dinko Dimitrov, 2010. "Balanced Weights and Three-Sided Coalition Formation," Games, MDPI, vol. 1(2), pages 1-9, June.
    • Handle: RePEc:gam:jgames:v:1:y:2010:i:2:p:159-167:d:8791
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2073-4336/1/2/159/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2073-4336/1/2/159/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Dreze, J H & Greenberg, J, 1980. "Hedonic Coalitions: Optimality and Stability," Econometrica, Econometric Society, vol. 48(4), pages 987-1003, 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. Emiliya Lazarova & Dinko Dimitrov, 2013. "Status-seeking in hedonic games with heterogeneous players," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(4), pages 1205-1229, April.
    2. Felix Fritz & Stefano Moretti & Jochen Staudacher, 2023. "Social Ranking Problems at the Interplay between Social Choice Theory and Coalitional Games," Mathematics, MDPI, vol. 11(24), pages 1-22, December.
    3. Mauleon, Ana & Roehl, Nils & Vannetelbosch, Vincent, 2019. "Paths to stability for overlapping group structures," Journal of Mathematical Economics, Elsevier, vol. 83(C), pages 19-24.
    4. Sung, Shao-Chin & Dimitrov, Dinko, 2010. "Computational complexity in additive hedonic games," European Journal of Operational Research, Elsevier, vol. 203(3), pages 635-639, June.
    5. Jean-François Caulier & Ana Mauleon & Vincent Vannetelbosch, 2013. "Contractually stable networks," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 483-499, May.
    6. Guillaume Haeringer, 2000. "Stable Coalition Structures with Fixed Decision Schme," UFAE and IAE Working Papers 471.00, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    7. Bettina Klaus & Flip Klijn & Seçkin Özbilen, 2023. "Core Stability and Strategy-Proofness in Hedonic Coalition Formation Problems with Friend-Oriented Preferences," Working Papers 1399, Barcelona School of Economics.
    8. Jinpeng Ma, 1998. "Strategic Formation of Coalitions," Departmental Working Papers 199810, Rutgers University, Department of Economics.
    9. Koji Takamiya, 2013. "Coalitional unanimity versus strategy-proofness in coalition formation problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(1), pages 115-130, February.
    10. Jacques H. Drèze & Charles Figuières & Jean Hindriks, 2006. "Voluntary Matching Grants Can Forestall Social Dumping," CESifo Working Paper Series 1867, CESifo.
    11. Gabrielle Demange, 2017. "The stability of group formation," Revue d'économie politique, Dalloz, vol. 127(4), pages 495-516.
    12. Jacques H. Drèze & Charles Figuieres & Jean Hindriks, 2007. "Can Federal Grants Mitigate Social Competition?," CESifo Economic Studies, CESifo Group, vol. 53(4), pages 596-617, December.
    13. Dinko Dimitrov & Peter Borm & Ruud Hendrickx & Shao Sung, 2006. "Simple Priorities and Core Stability in Hedonic Games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 421-433, April.
    14. Sheida Etemadidavan & Andrew J. Collins, 2021. "An Empirical Distribution of the Number of Subsets in the Core Partitions of Hedonic Games," SN Operations Research Forum, Springer, vol. 2(4), pages 1-20, December.
    15. Alison Watts, 2007. "Formation of segregated and integrated groups," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(4), pages 505-519, April.
    16. Barbera, S. & Maschler, M. & Shalev, J., 2001. "Voting for Voters: A Model of Electoral Evolution," Games and Economic Behavior, Elsevier, vol. 37(1), pages 40-78, October.
    17. Dimitrov, Dinko & Lazarova, Emiliya A., 2008. "Coalitional Matchings," Coalition Theory Network Working Papers 37523, Fondazione Eni Enrico Mattei (FEEM).
    18. Dinko Dimitrov & Emiliya A. Lazarova & Shao-Chin Sung, 2016. "Inducing stability in hedonic games," University of East Anglia School of Economics Working Paper Series 2016-09, School of Economics, University of East Anglia, Norwich, UK..
    19. Eric Weese, 2011. "Political Mergers as Coalition Formation," Working Papers 997, Economic Growth Center, Yale University.
    20. Bos, Iwan & Marini, Marco A. & Saulle, Riccardo D., 2020. "Cartel formation with quality differentiation," Mathematical Social Sciences, Elsevier, vol. 106(C), pages 36-50.

    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:gam:jgames:v:1:y:2010:i:2:p:159-167:d:8791. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.