In view of the 2017 Nobel Prize in Economics awarded to Robert Thaler for his work on Behaviorial Economics, we present a more appropriate "non-additive" probability approach to human decision-making affecting economic fluctuations, extending von Neumann's expected utility theory. It is a notion of non commutative (and hence non additive) probability borrowed from quantum physics which captures also the "order effect" in cognitive decisions.
The talk will be tutorial, without any knowledge from quantum mechanics! It focuses on showing that quantum probability is simply a natural generalization of Kolmogorov probability theory (from commutativity to non commutativity).
Among current interests in econometrics, we will single out the most promising one, namely using quantum probability as the correct framework for modeling uncertainty in human decision theory in the context of economics, especially, in financial econometrics.
In the academic year 2015-2016, there are 938 enrolled undergraduate students, including:
- 210 in Mathematics
- 51 in Honor Program in Mathematics
- 117 in Mathematical Mechanics
- 404 in Computer and Information Science
- 156 in Mathematics for Teaching
For graduate degree, there are 163 Master students and 76 PhD students specialized in:
- Algebra and Number Theory
- Analytical Mathematics
- Applied Mathematics
- Differential and Integral Equations (only PhD degree)
- Geometry - Topology
- Methods for Elementary Mathematics (only Master degree)
- Solid Mechanics
- Fluid Mechanics
- Mathematical Foundations for Computer Science
- Development History
60th anniversary of Faculty of Mathematics, Mechanics and Informatics
- Scientific Conference
- Anniversary activties
“Euler reflexion formulas for motivic multiple zeta functions”, Journal of Algebraic Geometry, vol. 27, pp. 91-120, 2018....
“On the sub poly-harmonic property for solutions of (-Δ)^p u <0 in R^n”, Comptes Rendus Mathématique, vol. 355, no. 5, pp. 526–532, 2017....
“Sharp reversed Hardy-Littlewood-Sobolev inequality on the half space R_+^n”, International Mathematics Research Notices, vol. 2017, no. 20, pp. 6168-6186, 2017....