We consider the problem of sequentially investing in a set of stocks.
- Weighted majority algorithm its variant for Bandit Problems.
We consider a specific diffusion control problem. We focus on setting where there is one risky asset and one riskless asset, though we will see that much of the analysis passes over to multiple assets.
- The Hamilton-Jacobi-Bellman Equation.
- Heuristic derivation of the HJB equation.
- Davis-Varaiya Martingale Prinicple for Optimality
Heuristic derivation of
- the Stochastic Integral
- Stochastic Differential Equations
- Ito’s Formula
- Continuous-time dynamic programs
- The HJB equation; a heuristic derivation; and proof of optimality.