8 problems

Let $P_{\text{tie}}(\lambda)$ denote the probability of a tie in the Mtextup{&}M Game, where the probability of flipping heads evolves according to an exponential distribution, and…

Critical-value conjecture. A critical value $p^{\rm ab}_{\rm c}$ with the displayed threshold behaviour exists, and $X^{\rm ab}$ converges as time tends to infinity to a convex com…

Influence comparison conjecture. For all $p\in[0,1]$ and $n\geq 1$, one has

Universality and central limit conjecture. The universality phenomenon and central limit theorem should also hold true for symmetric games. This predicts distribution-independent a…

Undominated-action proportion conjecture. For the small subset of intermediate $m(n)$ not covered formally by the analysis, the proportion of Column's undominated actions is very c…

Density monotonicity conjecture. For the general $d$-player, $n$-strategy normal evolutionary game, the density function decreases with $t_i$ and increases with $d$.

General equilibrium-count conjecture. In a multi-player multi-strategy game, these asymptotic relations hold; moreover,

Increasing-density conjecture. For any given $t>0$, $f_d(t)$ is an increasing function of $d$.