Investment value transversality condition
= Investment value transversality condition
{title2=$\lim_{T\to\infty}\mathbb E[e^{-\rho T}V(w_T,s_T)]=0$}
A discounted-value transversality condition rules out residual value at infinity in an infinite-horizon <Hamilton-Jacobi-Bellman equation> verification. Under appropriate integrability, admissibility, and localization assumptions, $\mathbb E[e^{-\rho T}V(w_T,s_T)]\to0$ identifies the economic value among formal differential-equation solutions.