5 problems

Consider a sequence of network formation games indexed by $T$, with strategic parameter $delta_T=\frac{\delta}{T}$ in place of $delta$, where $T$ is the number of households and…

Stable-configuration conjecture. If the reinforcement is strong enough, every linearly stable configuration is a union of trees of diameter at most $3$.

Existence conjecture. Under moderate linking and congestion costs, a non-empty equilibrium network always exists.

Maintenance-cost robustness conjecture. Allowing $v_1$ to be large and negative to account for agents foreseeing the maintenance cost would not affect the analysis of the high-inte…

High-intensity unilateral stability conjecture. In the high-intensity regime, the network is asymptotically almost surely unilaterally stable for any finite $\tilde{c}$.