IDEAS home Printed from https://ideas.repec.org/a/wsi/igtrxx/v08y2006i01ns0219198906000813.html
   My bibliography  Save this article

Coalition Formation In Games Without Synergies

Author

Listed:
  • SERGIO CURRARINI

    (Dipartimento di Scienze Economiche, Università Ca' Foscari di Venezia, Italy;
    School for Advanced Studied in Venice (SSAV), Venezia, Italy)

  • MARCO A. MARINI

    (Istituto di Scienze Economiche, Università degli Studi di Urbino "Carlo Bo", Italy;
    London School of Economics, UK)

Abstract

This paper establishes sufficient conditions for the existence of a stable coalition structure in the "coalition unanimity" game of coalition formation, first defined by Hart and Kurz (1983) and more recently studied by Yi (1997, 2003). Our conditions are defined on the strategic form game used to derive the payoffs of the game of coalition formation. We show that if no synergies are generated by the formation of coalitions, a stable coalition structure always exists provided that players are symmetric and either the game exhibits strategic complementarity or, if strategies are substitutes, the best reply functions are contractions.

Suggested Citation

  • Sergio Currarini & Marco A. Marini, 2006. "Coalition Formation In Games Without Synergies," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 8(01), pages 111-126.
    • Handle: RePEc:wsi:igtrxx:v:08:y:2006:i:01:n:s0219198906000813
    DOI: 10.1142/S0219198906000813
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219198906000813
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0219198906000813?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 look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Currarini, Sergio & Marini, Marco, 2002. "A conjectural cooperative equilibrium for strategic form games," MPRA Paper 33381, University Library of Munich, Germany.
    2. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March.
    3. Carlo Carraro (ed.), 2003. "The Endogenous Formation of Economic Coalitions," Books, Edward Elgar Publishing, number 2999.
    4. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
    5. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
    6. Carraro,Carlo & Siniscalco,Domenico (ed.), 1997. "New Directions in the Economic Theory of the Environment," Cambridge Books, Cambridge University Press, number 9780521590891.
    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. Verdier, Thierry & Marini, Marco & Aldashev, Gani, 2010. "Brothers in Alms? Coordination between NGOs on Markets for Development Donations," CEPR Discussion Papers 8109, C.E.P.R. Discussion Papers.
    2. Marco Marini & Giorgio Rodano, 2012. "Sequential vs Collusive Payoffs in Symmetric Duopoly Games," DIAG Technical Reports 2012-06, Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza".
    3. Sergio Currarini & Marco A. Marini, 2015. "Coalitional Approaches to Collusive Agreements in Oligopoly Games," Manchester School, University of Manchester, vol. 83(3), pages 253-287, June.
    4. Marco A. Marini, 2007. "An Overview of Coalitions and Networks Formation Models for Economic Applications," Working Papers 0707, CREI Università degli Studi Roma Tre, revised 2007.
    5. Sergio Currarini & Marco A. Marini, 2013. "Majority Rule and Coalitional Stability," Economics Bulletin, AccessEcon, vol. 33(3), pages 1660-1668.
    6. Marco Marini & Giorgio Rodano, 2011. "Lead, Follow or Cooperate? Endogenous Timing & Cooperation in Symmetric Duopoly Games," Working Papers 1112, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2011.
    7. Sergio Currarini & Marco Marini, 2012. "Majority Rules and Coalition Stability," DIAG Technical Reports 2012-01, Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza".
    8. Marco Marini, 2007. "An Overview of Coalition & Network Formation Models for Economic Applications," Working Papers 0712, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2007.

    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. Sergio Currarini & Marco A. Marini, 2015. "Coalitional Approaches to Collusive Agreements in Oligopoly Games," Manchester School, University of Manchester, vol. 83(3), pages 253-287, June.
    2. Marco A. Marini, 2007. "An Overview of Coalitions and Networks Formation Models for Economic Applications," Working Papers 0707, CREI Università degli Studi Roma Tre, revised 2007.
    3. Marco Marini, 2007. "An Overview of Coalition & Network Formation Models for Economic Applications," Working Papers 0712, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2007.
    4. 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.
    5. Marco Marini & Giorgio Rodano, 2011. "Lead, Follow or Cooperate? Endogenous Timing & Cooperation in Symmetric Duopoly Games," Working Papers 1112, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2011.
    6. Subhadip Chakrabarti & Robert P. Gilles & Emiliya Lazarova, 2021. "Stability of cartels in Multimarket Cournot oligopolies," Manchester School, University of Manchester, vol. 89(1), pages 70-85, January.
    7. Currarini, Sergio, 2007. "Group stability of hierarchies in games with spillovers," Mathematical Social Sciences, Elsevier, vol. 54(3), pages 187-202, December.
    8. 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.
    9. Thoron, Sylvie & Sol, Emmanuel & Willinger, Marc, 2009. "Do binding agreements solve the social dilemma?," Journal of Public Economics, Elsevier, vol. 93(11-12), pages 1271-1282, December.
    10. Ray, Debraj & Vohra, Rajiv, 2015. "Coalition Formation," Handbook of Game Theory with Economic Applications,, Elsevier.
    11. Marco A. Marini & Maria L. Petit & Roberta Sestini, 2014. "Strategic timing in R&D agreements," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 23(3), pages 274-303, April.
    12. Marini, Marco A. & Currarini, Sergio, 2003. "A sequential approach to the characteristic function and the core in games with externalities," MPRA Paper 1689, University Library of Munich, Germany, revised 2003.
    13. Sergio Currarini, 2007. "Network design in games with spillovers," Review of Economic Design, Springer;Society for Economic Design, vol. 10(4), pages 305-326, March.
    14. Christine Heumesser, 2008. "Designing of research coalitions in promoting GEOSS. A brief overview of the literature," Working Papers 402008, University of Natural Resources and Life Sciences, Vienna, Department of Economics and Social Sciences, Institute for Sustainable Economic Development.
    15. repec:zbw:inwedp:402008 is not listed on IDEAS
    16. Heumesser, Christine, 2008. "Designing of research coalitions in promoting GEOSS. A brief overview of the literature," Discussion Papers DP-40-2008, University of Natural Resources and Life Sciences, Vienna, Department of Economics and Social Sciences, Institute for Sustainable Economic Development.
    17. Parkash Chander, 2007. "The gamma-core and coalition formation," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(4), pages 539-556, April.
    18. Carlo Carraro, 2006. "Incentives and Institutions. A Bottom-up Approach to Climate Policy," Working Papers 2006_49, Department of Economics, University of Venice "Ca' Foscari".
    19. Basso, Franco & Basso, Leonardo J. & Rönnqvist, Mikael & Weintraub, Andres, 2021. "Coalition formation in collaborative production and transportation with competing firms," European Journal of Operational Research, Elsevier, vol. 289(2), pages 569-581.
    20. Maria Montero, 2023. "Coalition Formation in Games with Externalities," Dynamic Games and Applications, Springer, vol. 13(2), pages 525-548, June.
    21. Carlo Carraro & Carmen Marchiori & Sonia Oreffice, 2009. "Endogenous Minimum Participation in International Environmental Treaties," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 42(3), pages 411-425, March.

    More about this item

    Keywords

    Coalition formation; synergies; strong Nash equilibrium; symmetric games; JEL Classification Number: C7;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

    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:wsi:igtrxx:v:08:y:2006:i:01:n:s0219198906000813. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/igtr/igtr.shtml .

    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.