SPLITTING THE BABY IN TWO: HOW TO SOLVE SOLOMON'S DILEMMA WHEN AGENTS ARE BOUNDEDLY RATIONAL

We study the dynamic implementation of the first-best for King Solomon's Dilemma, on the assumption that boundedly rational players find their way to equilibrium using monotonic evolutionary dynamics, and also with best-reply dynamics. We find that, although the mechanisms proposed by the literature are dynamically implementable with best-reply dynamics, the same does not hold when monotonic dynamics are considered. To solve this problem, we propose an alternative mechanism, whose game-form is still implementable in the traditional sense. However, it is also dynamically implementable, as every interior path of the adjustment pro-cesses we consider converges to the first-best, which is also asymptotically stable.