There are militarily official war games which are most likely to have research on them; don't know if that information has been released.
https://en.wikipedia.org/wiki/Professional_wargaming
Military wargaming is more about providing a way to simulate results when practicing normal military decision making processes. They aren't really games you play to practice being better at strategy and tactics (although they still can be used to teach that at a basic level, it isn't their primary purpose in most cases), because no matter how good the simulation is, it isn't real life. Just because a tactic work in the simulation is no guarantee it would work in real life. Military wargames are usually more abstract and simplified than many commercial games are. That is why they make extensive use of human referees to adjust results from the simulation when they are deemed too unrealistic or to make decisions about things the simulation doesn't factor in or simulate.
But that simulation allows command staff to get together to practice and get more proficient at their command staff processes without actually needing to have ships sail around, ground units go to the field, or have real aircraft fly missions. Although sometimes wargames are hybrid affairs with some portion of it being real units in the field and other portions being simulated.
War gaming is also used to help evaluate plans during decision making. Part of the modern military decision making process is wargaming out potential plans to see how they actually hold up in simulations and identify which plans are the better options and what some potential issues are ahead of time.