43 citations · 119 across the 14 of their papers we have counts for
14 papers
Risk-Dominant Equilibrium in Quantum Prisoner's Dilemma
Ahmed S. Elgazzar
The choice of a unique Nash equilibrium (NE) is crucial in theoretical classical and quantum games. The Eiswer-Wilkens-Lewenstein quantization scheme solves the prisoner's dilemma…
Simple mathematical models for controlling COVID-19 transmission through social distancing and community awareness
Ahmed S. Elgazzar
The novel COVID-19 pandemic is a current, major global health threat. Up till now, there is no fully approved pharmacological treatment or a vaccine. In this study, simple mathemat…
Quantum Symmetric Cooperative Game with a Harmonious Coalition
A. S. Elgazzar, H. A. Elrayes
The concept of forming harmonious coalitions is introduced to both classical and quantum symmetric cooperative game. In both cases, players are motivated to form coalitions. Also,…
On differences between fractional and integer order differential equations for dynamical games
E. Ahmed, A. S. Elgazzar, M. I. Shehata
We argue that fractional order (FO) differential equations are more suitable to model complex adaptive systems (CAS). Hence they are applied in replicator equations for non-coopera…
On Difference Equations Motivated by Modelling the Heart
E. Ahmed, A. S. Hegazi, A. S. Elgazzar
The analytical structure of some generalizations of the circle map is given. Also a generalization of off centre reflection is studied. The stability of Ito-Glass coupled map latti…
An Overview of Complex Adaptive Systems
E. Ahmed, A. S. Elgazzar, A. S. Hegazi
Almost every biological, economic and social system is a complex adaptive system (CAS). Mathematical and computer models are relevant to CAS. Some approaches to modeling CAS are gi…