4 problems

Let $\mathbf{P}_{\lambda}(\cdot)\equiv\left[\mathcal{P}_{\lambda}(\cdot,1),\cdots,\mathcal{P}_{\lambda}(\cdot,D)\right]$ denote the collection of solutions associated with the coup…

Player 2's quadratic value-function conjecture. We conjecture that $\Phi_2$ is quadratic in the state because the cost functions are quadratic in the state, and that

Let $(m,m\mathbf v)$ be a minimizer of the dual optimal-control problem, and let $\eta$ be the induced probability measure on continuous trajectories $\Gamma=C([0,T];\mathbb T^N)$,…

Differential-game feasibility conjecture. The alternative approach via differential games is also feasible.