Some basic solution properties and anomalies are investigated for a class of tactical games related to so-called Colonel Blotto games. In this model two agents compete for control of players in a given n-person simple game. It is shown that equilibrium solutions -- even in mixed strategies -- do not always exist. The case where the opponents have substantially unequal resources is solved and shown to attribute values to the players in the original n-person game that are in the least core. Some approximate values for particular cases where resources are equal are also cited.