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CoalitionalZP-Equilibrium in Games and its Existence

Author

Listed:
  • Rabia Nessah

    (IESEG School of Management, CNRS-LEM (UMR 8179), 3 rue de la Digue 59000 Lille –, France)

  • Moussa Larbani

    (Department of Business Administration, IIUM University Jalan Gombak, 53100, Kuala Lumpur, Malaysia)

  • Tarik Tazdaït

    (CNRS - EHESS - CIRED, Campus du Jardin Tropical, 45 bis, Av. de la Belle Gabrielle, 94736 Nogent sur Marne Cedex, France)

Abstract

We introduce a solution concept for games in normal form with undetermined parameters, coalitionalZP-equilibrium, based on the notions ofZ-equilibrium of [Zhukovskii and Chikrii [1994] Linear quadratic differential games, Kiev, Naoukova Doumka] andZS-equilibrium of [Larbani and Lebbah [1999] A concept of equilibrium for a game under uncertainity.Europ. J. Oper. Res.117, 145–156]. For each coalition structure,ZP-equilibrium ensures both the stability of the partition and equilibrium of coalitional strategies (in Pareto sense). We show that under some quasiconcavity conditions on payoff functions, the coalitionalZP-equilibrium exists in compact, convex and continuous normal form games involving undetermined parameters.

Suggested Citation

  • Rabia Nessah & Moussa Larbani & Tarik Tazdaït, 2015. "CoalitionalZP-Equilibrium in Games and its Existence," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 17(03), pages 1-18.
    • Handle: RePEc:wsi:igtrxx:v:17:y:2015:i:03:n:s0219198915500024
    DOI: 10.1142/S0219198915500024
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    References listed on IDEAS

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    1. Charalambos D. Aliprantis & Kim C. Border, 2006. "Infinite Dimensional Analysis," Springer Books, Springer, edition 0, number 978-3-540-29587-7, December.
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    More about this item

    Keywords

    Normal form game; coalitionalZP-equilibrium; undetermined parameter; Multiobjective mathematical programming;
    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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