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.