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Title: Pure and Mixed Nash Equilibria Domain of a Discrete Game Model with Dichotomous Strategy Space
Authors: Mousa, Abdelrahim 
Shoman, Fedaa 
Keywords: Coherent strategy;Split strategy;Pure strategy;Mixed strategy;Nash Equilibrium;Game theory
Issue Date: 3-Sep-2020
Publisher: World Academy of Science, Engineering and Technology
Journal: International Journal of Mathematical and Computational Sciences 
Series/Report no.: Special Journal Issue on Decision and Game Theory for Security;Vol:14, No:9
Conference: International Conference on Decision and Game Theory for Security (ICDGTS 2020), July 20-21, 2020, Paris, France 
Abstract: We present a discrete game theoretical model with homogeneous individuals who make simultaneous decisions. In this model the strategy space of all individuals is a discrete and dichotomous set which consists of two strategies. We fully characterize the coherent, split and mixed strategies that form Nash equilibria and we determine the corresponding Nash domains for all individuals. We find all strategic thresholds in which individuals can change their mind if small perturbations in the parameters of the model occurs.
Description: Article published in : International Journal of Mathematical and Computational Sciences, vol. 14, no. 9, 2020
ISSN: 1307-6892
Appears in Collections:Fulltext Publications

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