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Conflict And Cooperation In Symmetric Potential Games

Author

Listed:
  • LINA MALLOZZI

    (Department of Mathematics and Applications, University of Naples Federico II, Via Claudio 21 — 80125 Naples, Italy)

  • STEF TIJS

    (Center and Department of Econometrics and Operations Research, University of Tilburg, P. O. Box 90153 — 5000 LE Tilburg, The Netherlands)

Abstract

In this paper we consider a special class ofn-person potential games and investigate partial cooperation between a portion of the players that sign a cooperative agreement. Existence results of partial cooperative equilibria are obtained and some possible applications are discussed, particularly a Cournot oligopoly and an international water resources management model.

Suggested Citation

  • Lina Mallozzi & Stef Tijs, 2008. "Conflict And Cooperation In Symmetric Potential Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(03), pages 245-256.
  • Handle: RePEc:wsi:igtrxx:v:10:y:2008:i:03:n:s0219198908001923
    DOI: 10.1142/S0219198908001923
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    References listed on IDEAS

    as
    1. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
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    Citations

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    Cited by:

    1. Robert P. Gilles & Lina Mallozzi & Roberta Messalli, 2023. "Emergent Collaboration in Social Purpose Games," Dynamic Games and Applications, Springer, vol. 13(2), pages 566-588, June.
    2. Lina Mallozzi, 2013. "An application of optimization theory to the study of equilibria for games: a survey," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 21(3), pages 523-539, September.
    3. Lucia Pusillo, 2017. "Vector Games with Potential Function," Games, MDPI, vol. 8(4), pages 1-11, September.
    4. Lina Mallozzi & Stefano Patri & Armando Sacco, 2015. "Differential Game Approach for International Environmental Agreements with Social Externalities," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 9(3), pages 135-154, December.
    5. Subhadip Chakrabarti & Robert P. Gilles & Emiliya Lazarova, 2018. "Partial cooperation in strategic multi-sided decision situations," Theory and Decision, Springer, vol. 85(3), pages 455-478, October.

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    More about this item

    Keywords

    Potential games; cooperation; noncooperative games; Subject Classification: C71; Subject Classification: C72;
    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

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