3 problems

Finitely additive stability conjecture. Some of the stability results that fail in the standard framework when $\Omega_i=\mathbb{R}^d$ should nevertheless be valid in a finitely ad…

Finitely additive no-gap conjecture. Replacing the standard class $\Gamma$ of countably additive probabilities by $M$ should make the absence of a duality gap in the martingale pro…

Let $\{\pi_n\}_n$ be a sequence of finitely additive probabilities (FAPs). A FAP limit obtained by Stone's approach is an accumulation point of this sequence for the weak-$^*$ topo…