4 problems

Unique-limit-equilibrium conjecture. Every connected component of equilibria in $\mathcal X^*$ contains one and only one limit equilibrium.

Let $({G},\boldsymbol{c},\mathcal H,\boldsymbol{\mu}(\,\cdot\,))$ be a routing game whose cost functions are continuous, differentiable, strictly increasing, and have positive seco…

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

In atomic routing games, let $x_e^*(\tau)$ denote the toll-dependent equilibrium flow on edge $e$, and let $x_e^S$ denote the flow minimizing the social cost during the upper-level…