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    Dynamics of a Cournot Duopoly Game with a Generalized Bounded Rationality.A. Al-Khedhairi - 2020 - Complexity 2020:1-10.
    In this paper, the dynamics of Cournot duopoly game with a generalized bounded rationality is considered. The fractional bounded rationality of the Cournot duopoly game is introduced. The conditions of local stability analysis of equilibrium points of the game are derived. The effect of fractional marginal profit on the game is investigated. The complex dynamics behaviors of the game are discussed by numerical computation when parameters are varied.
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    Dynamics, Chaos Control, and Synchronization in a Fractional-Order Samardzija-Greller Population System with Order Lying In.A. Al-Khedhairi, S. S. Askar, A. E. Matouk, A. Elsadany & M. Ghazel - 2018 - Complexity 2018:1-14.
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    Analysis of a Four-Firm Competition Based on a Generalized Bounded Rationality and Different Mechanisms.S. S. Askar & A. Al-Khedhairi - 2019 - Complexity 2019:1-12.
    This paper studies the dynamic characteristics of triopoly models that are constructed based on a 3-dimensional Cobb–Douglas utility function. The paper presents two parts. The first part introduces a competition among three rational firms on which their prices are isoelastic functions. The competition is described by a 3-dimensional discrete dynamical system. We examine the impact of rationality on the system’s steady state point. Studying the stability/instability of this point, which is Nash equilibrium and is unique in those models, is illustrated. (...)
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