History
In WWI, American Acey-Deucey was largely popularized by soldiers who played it for days on end in the Navy and Marines and has remained a popular variant of Backgammon since.

Set-up
In this Backgammon variation, each player starts with 15 checkers. In the American and European version of Acey-Deucey, the 15 checkers are start out completely off the board. In the Greek version, each player starts out with 15 checkers on his opponent’s first point.

Objective and Play
To begin each player rolls a die, higher number starts the game and rolls first. The goal is for each player to bear-off all of his checkers first. To do so, each player takes a turn at rolling the dice and moving that number of points with his checkers towards his home. Each checker can be moved the amount of one die or both dice. Only when all of the checkers are in the home area can a player begin to bear-off his checkers.

A checker cannot land on a point occupied by 2 or more of his opponent’s checkers.
If you roll a double, you play those numbers twice, i.e. if you roll double two’s you move your checkers 4x 2 points.

If your opponent has only one checker on a point and you land on it. Your opponent must place it on the bar and must enter this checker on his next turn. If your opponent doesn’t roll the die equal in value to an open point, then it is your turn again.

Rolling an Acey-Deucey
If you roll a 1-2, this is called an Acey-Deucey. First you play the 1-2 and then you call out any doubles and play them as if you had actually rolled them.
In the European and American versions, you would get to roll again after calling out and playing the doubles. In the Greek version (also called Plakato), you do not get to roll again. If you roll a 1-2 again, in the American version you would again call out doubles and roll again, this continues on each time you roll 1-2 (Acey-Deucey).

Besides there being no gammons, backgammons, or doubling cube, there is also one more major difference between Acey-Deucey and regular Backgammon, and that is that at the end of your turn and before your opponent rolls the dice, you can request that your opponent hit one of your open checkers (also known as blot).

Links:
Below are some helpful links if you are looking to learn more about backgammon and playing different variations (besides Acey-Deucey) of this popular and ancient skill game. You’d be surprised how many variations there are!