Publications
Articles
A. S. Mousa, D. Pinheiro, S. Pinheiro and A. A. Pinto. Optimal consumption, investment and life-insurance purchase under a stochastically fluctuating economy. Optimization: A Journal of Mathematical Programming and Operations Research, (2022). pdf . Links 1 2 3 4 5
M. Hoshiea, A. S. Mousa*, and A. A. Pinto. Optimal social welfare policy within financial and life-insurance markets. Optimization: A Journal of Mathematical Programming and Operations Research, v72 (9), 2367-2391 (2022). Links 0 1 2 3 4 5
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, v67, 133-144 (2016). pdf
R. Soeiro, A. S. Mousa, and A. A. Pinto. Externality Effects in the Formation of Societies. Journal of Dynamics and Games, v2 (2), 303-320 (2015). pdf
R. Soeiro, A. S. Mousa, T. R. Oliveira and A. A. Pinto. Dynamics of Human Decisions. Journal of Dynamics and Games, v1 (1), 121 - 151 (2014). pdf
A. S. Mousa and A. A. Pinto. Geometric approaches and bifurcations in the dichotomous decision model. Journal of the Arab American University, v3 (2), 10-39 (2017). pdf
In Book
A. S. Mousa, D. Pinheiro and A. A. Pinto. A Consumption-Investment Problem with a Diminishing Basket of Goods. Operational Research: IO 2013 - XVI Congress of APDIO, (eds. J. P. Almeida, J. F. Oliveira and A. A. Pinto). CIM Series in Mathematical Sciences, Springer, Chapter 17, 295-310 (2015). pdf
R. Soeiro, A. S. Mousa and A. A. Pinto. Influence of Individual Decisions in Competitive Market Policies. Mathematics of Planet Earth (eds. F. Costa, J. Buescu and J. T. Pinto). Editora Universitária do Instituto Superior Técnico, IST Press, Lisboa, (2014). Book Link 1 Link 2
A. A. Pinto, M. Faias and A. S. Mousa. Resort Pricing and Bankruptcy. Dynamics, Games and Science II (eds. M. Peixoto, A. A. Pinto, and D. Rand). Proceedings in Mathematics series. Springer-Verlag, Chapter 39, 567-573 (2011). pdf
A. A. Pinto, A. S. Mousa, M. Mousa and R. Samarah. Tilings and Bussola for Making Decisions. Dynamics, Games and Science I (eds. M. Peixoto, A. A. Pinto and D. Rand). Proceedings in Mathematics series. Springer-Verlag, Chapter 44, 689-708 (2011). pdf
Conference Proceeding
A. S. Mousa and F. Shoman. Pure and Mixed Nash Equilibria Domain of a Discrete Game Model with Dichotomous Strategy Space, ICDGTS 2020 International Conference on Decision and Game Theory for Security. July 20-21, 2020 in Paris, France. Organized by World Academy of Science, Engineering and Technology, Vol:14, No:9, 86 - 92 (2020). Program More details pdf
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, ICAMA 2020. International Conference on Applied Mathematics and Applications. May 28-29, 2020 in Tokyo, Japan. Organized by World Academy of Science, Engineering and Technology, Vol:14, No:5, 45 - 52 (2020). Program More details pdf
Thesis
Ph.D. Thesis: Applications of Mathematics and Game Theory to Industrial Organization. Department of Mathematics, Faculty of Science, University of Porto, Portugal (2013).
M.Sc. Thesis: Applications of Mathematics and Game Theory to Industrial Organization. Department of Mathematics, Faculty of Science, Birzeit University, Palestine (2009).
Work in Progress
The existence of solution for a stochastic optimal control problem with a random horizon.
A family of stochastic optimal control problems with multiple random time horizons.
Investment portfolio and life-insurance management.
Existence and uniqueness of viscosity solution for a HJB equation.