Axis and Allies Chess
Years ago there used to be whole websites devoted to describing the rules to Axis and Allies chess, which is a no-luck version of the popular board game, but Google seems unable to find the rule set I remember, which I think was originally developed by the A&A club at MIT.
The basic modification from the standard game is to replace rolling with a deterministic combat model. The standard model is to roll one die per unit and score hits against a unit specific threshold (i.e. an attacking tank hits on a 3+). In A&A Chess, the attacking or defending values are summed and divided by 6. Remainders of 4 or less are discarded and remainders of 5 or considered hits. For example, four attacking infantry can't do any damage, but two tanks result in one casualty.
Although theoretically this model would enable a player to work out a complex combat round in their head, this is impractical: first, it's too much math to keep in your head for multi-round combat; second, you don't know how the enemy will respond to taking casualties and/or if they will retreat (if attacking).
Anti-aircraft guns are resolved by the same rules: meaning an AA gun is ineffective against 4 or less aircraft attacking at once, but will automatically record (at least) one hit against 5 or more.
Typically chess does away with tech research, but it would be easy to set a price for each technology.