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A sequential approach to the characteristic function and the core in games with externalities

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  • Marini, Marco A.
  • Currarini, Sergio

Abstract

This paper proposes a formulation of coalitional payoff possibilities in games with externalities, based on the assumption that forming coalitions can exploit a ”first mover advantage”. We derive a characteristic function and show that when outside players play their best response noncooperatively, the core is nonempty in games with strategic complements. We apply this result to Cournot and Bertrand games and to public goods economies.

Suggested Citation

  • 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.
    • Handle: RePEc:pra:mprapa:1689
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Currarini, Sergio & Marini, Marco A., 2002. "Sequential play and cartel stability in a Cournot oligopoly," MPRA Paper 22137, University Library of Munich, Germany.
    2. 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.
    3. Chander Parkash, 2019. "The core of a strategic game," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 19(1), pages 1-10, January.
    4. 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.
    5. Michael Rauscher, 2019. "Stable International Environmental Agreements: Large Coalitions that Achieve Little," Games, MDPI, vol. 10(4), pages 1-7, November.
    6. Paraskevas Lekeas & Giorgos Stamatopoulos, 2014. "Cooperative oligopoly games with boundedly rational firms," Annals of Operations Research, Springer, vol. 223(1), pages 255-272, December.
    7. Theo Driessen & Dongshuang Hou & Aymeric Lardon, 2011. "Stackelberg oligopoly TU-games: characterization of the core and 1-concavity of the dual game," Working Papers halshs-00610840, HAL.
    8. Aymeric Lardon, 2019. "On the coalitional stability of monopoly power in differentiated Bertrand and Cournot oligopolies," Theory and Decision, Springer, vol. 87(4), pages 421-449, November.
    9. 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.
    10. Giorgos Stamatopoulos, 2021. "On the core of economies with multilateral environmental externalities," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(1), pages 158-171, February.
    11. Takeda, Kohei & Hosoe, Toyoki & Watanabe, Takayuki & Matsubayashi, Nobuo, 2018. "Stability analysis of horizontal mergers in a market with asymmetric substitutability," Mathematical Social Sciences, Elsevier, vol. 96(C), pages 73-84.
    12. 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".
    13. Stamatopoulos, Giorgos, 2018. "On the gamma-core of asymmetric aggregative games," MPRA Paper 88722, University Library of Munich, Germany.
    14. Dongshuang Hou & Aymeric Lardon & T. S. H. Driessen, 2017. "Stackelberg Oligopoly TU-Games: Characterization and Nonemptiness of the Core," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(04), pages 1-16, December.
    15. 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.
    16. Paraskevas Lekeas & Giorgos Stamatopoulos, 2016. "Cooperative Games with Externalities and Probabilistic Coalitional Beliefs," Working Papers 1605, University of Crete, Department of Economics.
    17. 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.
    18. Stamatopoulos Giorgos, 2016. "The Core of Aggregative Cooperative Games with Externalities," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 16(1), pages 389-410, January.

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    More about this item

    Keywords

    Core; cooperative games; externalities;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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