5 problems

Long-time collective-success conjecture. The long-time collective success against the all-cooperator group is

The Fermi-rule threshold conjecture. For the generalized PD scenario, multilevel competition following the group-level Fermi rule can support steady-state cooperation if $\lambda$…

The Hölder-threshold conjecture. There is a threshold selection strength $\lambda^*_{HD}(\theta)$ such that multilevel selection can produce a steady state with cooperation above…

Hölder-exponent convergence conjecture. For sufficiently strong between-group competition, the population should converge to the unique steady-state distribution having the same Hö…

Hölder-exponent conservation conjecture. The Hölder exponent is conserved in time by the multilevel system given by the paper's equation, so that