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Existence and Stability of Nash Equilibrium

Author

Listed:
  • Guilherme Carmona

    (Cambridge & Universade Nova de Lisboa, Portugal)

Abstract

The book aims at describing the recent developments in the existence and stability of Nash equilibrium. The two topics are central to game theory and economics and have been extensively researched. Recent results on existence and stability of Nash equilibrium are scattered and the relationship between them has not been explained clearly. The book will make these results easily accessible and understandable to researchers in the field.

Individual chapters are listed in the "Chapters" tab

Suggested Citation

  • Guilherme Carmona, 2013. "Existence and Stability of Nash Equilibrium," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 8406, December.
  • Handle: RePEc:wsi:wsbook:8406
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    File URL: https://www.worldscientific.com/worldscibooks/10.1142/8406
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    Citations

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    Cited by:

    1. R. A. Edwards & R. R. Routledge, 2023. "Existence and uniqueness of Nash equilibrium in discontinuous Bertrand games: a complete characterization," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(2), pages 569-586, June.
    2. Oriol Carbonell-Nicolau & Richard P. McLean, 2018. "On the Existence of Nash Equilibrium in Bayesian Games," Mathematics of Operations Research, INFORMS, vol. 43(2), pages 100-129, February.
    3. El-Salam, Salsabeel M. Abd & El-Seidy, Essam & Abdel-Malek, Amira R., 2023. "Evaluating zero-determinant strategies’ effects on cooperation and conflict resolution in repeated games," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    4. Carmona, Guilherme, 2019. "On the existence of limit admissible equilibria in discontinuous games," Journal of Mathematical Economics, Elsevier, vol. 81(C), pages 14-21.
    5. Guilherme Carmona, 2016. "Reducible equilibrium properties: comments on recent existence results," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(3), pages 431-455, March.
    6. Roman Gayduk & Sergey Nadtochiy, 2016. "Endogenous Formation of Limit Order Books: Dynamics Between Trades," Papers 1605.09720, arXiv.org, revised Jun 2017.
    7. Imad Antoine Ibrahim, 2020. "Legal Implications of the Use of Big Data in the Transboundary Water Context," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(3), pages 1139-1153, February.
    8. Oriol Carbonell-Nicolau & Richard P. McLean, 2019. "Nash and Bayes–Nash equilibria in strategic-form games with intransitivities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(4), pages 935-965, November.
    9. José Tudón, 2021. "Can price dispersion be supported solely by information frictions?," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 75-90, April.

    Book Chapters

    The following chapters of this book are listed in IDEAS

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