The Annals of Applied Probability, Vol. 28, No. 1 (February 2018), pp. 1-34 (34 pages) In this paper, we aim to develop the stochastic control theory of branching diffusion processes where both the ...

Stochastic optimal control has become a critical framework for addressing decision-making problems under uncertainty, especially in the context of financial market models. By combining probabilistic ...

Studies mathematical theories and techniques for modeling financial markets. Specific topics include the binomial model, risk neutral pricing, stochastic calculus, connection to partial differential ...

The research project looks to apply the concept of stochastic control theory to address operational execution issues in financial markets using artificial intelligence. Electronic and algorithmic ...

Merton, Robert C. "Analytical Optimal Control Theory as Applied to Stochastic and Non-Stochastic Economics." Diss., Massachusetts Institute of Technology (MIT), 1970.

Abstract: The effects of three forms of density‐dependent regulation were explored in model coral reef fish populations: top‐down (predation), bottom‐up (competition for food), and pelagic ...