Saratoga

Saratoga is a solo or two-person turn-based strategy wargame that is Volume I in the Great Battles of the American Revolution wargame series created by designer Mark Miklos and published by GMT Games. The game focuses on the Battle of Saratoga on September 19, 1777 which proved to be the turning point of the American Revolution.

Players can battle human opponents online or play against the game's AI. There are three scenarios that offer opportunities to explore alternate histories, including a British counterattack on the next day.
Saratoga features gameplay based on the historical wargaming boardgames of the 70's and 80's. Players maneuver markers that represent their units on a hexagonal map that mimics the gameboard and cardboard counters of traditional boardgames. Players alternate their turns with the first player being determined either by the scenario or randomly.  During their turn a player will conduct maneuver for their units and then engage in combat using units with capabilities based on the historical record.  Combat is resolved through die rolls modified by terrain, the ability of nearby leaders and the characteristics of the units in the combat.

Saratoga is Volume I of the enormously popular Great Battles of the American Revolution series designed by Mark Miklos and published by GMT Games.
Each side has an historically accurate order of battle that encourages the player to attempt to outdo the generals of history. Saratoga has scenarios that simulate "what-if" situations as well.  What if the British had counter-attacked the next day? What if Benedict Arnold had gotten his way and been free to attack?
Combat includes modifiers for leadership, each unit's abilities and terrain to provide a realistic simulation. There is also a "press your luck" component that allows players to spend momentum to modify die rolls or in some cases to re-roll dice.