An abstract strategy game is a strategy game that does not rely on a theme. Many abstract strategy games also happen to be combinatorial i.e. there is no hidden information, no non-deterministic elements (such as shuffled cards or dice rolls), no simultaneous or hidden movement or set up, and (usually) two players or teams taking a finite number of alternating turns.
Many of the world's classic board games, including chess, Nine Men's Morris, checkers and draughts, Go, xiangqi, shogi, Reversi, and most mancala variants, fit into this category. Play is sometimes said to resemble a series of puzzles the players pose to each other. As J. Mark Thompson wrote in his article "Defining the Abstract":
There is an intimate relationship between such games and puzzles: every board position presents the player with the puzzle, What is the best move?, which in theory could be solved by logic alone. A good abstract game can therefore be thought of as a "family" of potentially interesting logic puzzles, and the play consists of each player posing such a puzzle to the other. Good players are the ones who find the most difficult puzzles to present to their opponents.
The strictest definition of an abstract strategy game requires that it cannot have random elements or hidden information. In practice, however, many games that do not strictly meet these criteria are commonly classified as abstract strategy games. (Games such as Continuo, Octiles, Can't Stop, and Sequence, could be considered abstract strategy games, despite having a luck or bluffing element.) A smaller category of abstract strategy games manages to incorporate hidden information without using any random elements; the best known example is Stratego.
Traditional abstract strategy games are often treated as a separate game category, hence the term 'abstract games' is often used for competitions that exclude them and can be thought of as referring to modern abstract strategy games. Two examples are the IAGO World Tour (2007–2010) and the Abstract Games World Championship held annually since 2008 as part of the Mind Sports Olympiad.