Commenced in January 2007
Paper Count: 32451
Pure and Mixed Nash Equilibria Domain of a Discrete Game Model with Dichotomous Strategy Space
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. Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 549
 I. Ajzen. Perceived behavioral control, self-efficacy, locus of control, and the theory of planned behavior. Journal of Applied Social Psychology, 32:665–683, 2002.
 L. Almeida, J. Cruz, H. Ferreira, and A. A. Pinto. Bayesian-Nash equilibria in theory of planned behavior. Journal of Difference Equations and Applications, 17:1085–1093, 2011.
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 A. S. Mousa, M. S. Mousa, R. M. Samarah, and A. A. Pinto. Tilings and bussola for making decisions. In Peixoto M., Pinto A., and Rand D., editors, Dynamics, Games and Science I, volume 1 of Proceedings in Mathematics series, chapter 44, pages 689–708. Springer-Verlag, 2011.
 A. S. Mousa, D. Pinheiro, and A. A. Pinto. A consumption-investment problem with a diminishing basket of goods. In Almeida J. P., Oliveira J. F., and Pinto A. A., editors, Operational Research: IO 2013 - XVI Congress of APDIO, CIM Series in Mathematical Sciences, chapter 17, pages 295–310. Springer, 2015.
 A. S. Mousa, D. Pinheiro, and A. A. Pinto. Optimal life insurance purchase from a market of several competing life insurance providers. Insurance: Mathematics and Economics, 67:133–144, 2016.
 A. S. Mousa and A. A. Pinto. Geometric approaches and bifurcations in the dichotomous decision model. Journal of the Arab American University, 3(2):10–39, 2017.
 A. S. Mousa, A. A. Pinto, and R. Soeiro. Influence of Individual Decisions in Competitive Market Policies. Mathematics of Planet Earth. Editora Universitria do Instituto Superior Tcnico, IST Press, Lisboa, Portugal, 2014.
 A. S. Mousa, R. Rajab, and A. A. Pinto. Characterizing the geometry of envy human behaviour using game theory model with two types of homogeneous players. International Journal of Mathematical and Computational Sciences, 14(5):45 – 52, 2020.
 R. Soeiro, A. S. Mousa, T. Oliveira, and A. A Pinto. Dynamics of human decisions. Journal of Dynamics and Games, 1(1):1–31, 2012.
 R. Soeiro, A. S. Mousa, and A. A. Pinto. Externality effects in the formation of societies. Journal of Dynamics and Games, 2:303–320, 2015.