4 problems

Let $\Gamma=(A_i,u_i)_{i\in I}$ be a game in which each $A_i$ is a compact Hausdorff space and each utility function $u_i:A\to[-B,+B]$ is continuous in the product topology on $A$.…

Let $t\in [t_n,t_{n+1})$. For fixed $n$ and $k\leq n$, define the filtrations … where $\overline{H}_n:= (H_1,\ldots,H_n)$, $\mathbb{F}^B$ is the Brownian filtration,…

Uniqueness conjecture. Every connected component of equilibria admits one and only one limit equilibrium of the logit dynamics.

Consider a patchy-environment disease transmission model whose travel network is assumed to be irreducible. Reducible-network scenario conjecture. Lifting the irreducibility restri…