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Dr. Ivan Arraut delivered online presentation for Texas A&M University

2023-03-13

13

Mar

13/03/2023

Prof. Ivan Arraut from the Faculty of Business and Law presented a Talk on “Implementation of the tools of physics in scenarios involving economics and finance” at an online seminar held by the Texas A&M University.



Dr. Ivan Arraut, Assistant Professor at the Faculty of Business and Law (FBL) of the University of Saint Joseph (USJ) gave an online Talk on “Implementation of the tools of physics in scenarios involving economics and finance” at a seminar held by the Department of Engineering Technology & Industrial Distribution at the Texas A&M University on February 17, 2023.

During the seminar, Dr. Ivan Arraut explained how to implement certain advanced Mathematical tools in order to analyse and solve important problems inside the stock market as well as inside the analysis of market equilibrium problems in general.  Furthermore, Dr. Arraut also explained how the mentioned tools have helped him to find new important results in economy and finance.


About the Talk:

Implementation of the tools of physics in scenarios involving economics and finance

“In this presentation, implementation of a Hamiltonian (Lagrangian) formulation in scenarios involving market  equilibrium in a stock and option market from the perspective of decision theory (game theory) will be  explained. For market equilibrium, a Hamiltonian ground state is used to compare the shift in equilibrium  conditions as seen in phase transition of physical systems. The Black Scholes equation expressed in a  Hamiltonian form is used to analyze market dynamics for different families of system parameters, including  volatility and interest rate. Furthermore, the concept of spontaneous symmetry breaking in market scenario  will be discussed as well. Moreover, flow of information in the stock market based on the overall behavior of  the system using a Hamiltonian approach will be presented as well. Finally, decision making in dynamic  markets from the perspective of game theory seen in physical systems will be discussed.”