8 problems

Controller's alpha-Rational Stackelberg equilibrium conjecture. This choice of initial action profile should imply that (\nu^*, i^{H}_*,\mu^R_*_{a^*_H}) is an $\alpha$-Rational S…

Let the game be a general dynamic game with three or more players. Let $K$ be USI, and call a Battigalli's perfect Bayesian equilibrium (Battigalli's PBE) $K$-based when its belief…

Let $n>2$ be the number of players, let $\mathbf{m}$ denote the vector of numbers of actions available to the players, and let $q_{n,\mathbf{m}}$ denote the number of games in the…

Let $(F_a,F_b)$ be a Nash equilibrium arrival profile of the two-type queueing game, with $c3(F_a)$ and $c3(F_b)$ denoting the arrival times used by types $a$ and $b$, respectively…

Let $\rho_{i,j}$ denote the maximal robustness of the three-dimensional equilibrium class indexed by $(i,j)$. Equilibrium-class monotonicity conjecture. If $i\geq k$ and $j\geq l$,…

For the three-dimensional equilibrium classes indexed by pairs $(2,n)$ and $(n,2)$, let $\rho_{2,n}$ and $\rho_{n,2}$ denote their maximal full robustness, and let $\rho_n$ denote…

For $n>2$, let $\rho_n$ denote the maximal robustness among planar convex solids in the equilibrium class with $n$ points, and let $\rho(\text{regular n-gon})$ denote the robustnes…

An anonymous game is a game in which all players have the same strategy set and a player's payoff is unchanged when two other players exchange their strategies. Let $L(n,m,\delta)$…