Equilibrium Analysis of the Arad-Rubinstein Colonel Blotto Game with Flexible Tie-Breaking

The equilibrium set of Colonel Blotto games with discrete strategy spaces and flexible tie-breaking rules is excessively large, with any pure strategy that allocates at most twice the fair share to each battlefield being part of some equilibrium. Refinements based on weak dominance are ineffective, but long-run adaptive learning can yield specific predictions.