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Coalition Formation In Games Without Synergies

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Author Info

  • 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.

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Bibliographic Info

Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Game Theory Review.

Volume (Year): 08 (2006)
Issue (Month): 01 ()
Pages: 111-126

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Handle: RePEc:wsi:igtrxx:v:08:y:2006:i:01:p:111-126

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Related research

Keywords: Coalition formation; synergies; strong Nash equilibrium; symmetric games; JEL Classification Number: C7;

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References

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  1. 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.
  2. Currarini, Sergio & Marini, Marco, 2002. "A conjectural cooperative equilibrium for strategic form games," MPRA Paper 33384, University Library of Munich, Germany.
  3. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March.
  4. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
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Cited by:
  1. 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, Università degli Studi di Roma "La Sapienza".
  2. Sergio Currarini & Marco Marini, 2011. "Coalitional Approaches to Collusive Agreements in Oligopoly Games," Working Papers 1113, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2011.
  3. 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.
  4. 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.
  5. Sergio Currarini & Marco Marini, 2012. "Majority Rules and Coalition Stability," DIAG Technical Reports 2012-01, Department of Computer, Control and Management Engineering, Università degli Studi di Roma "La Sapienza".
  6. 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.

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