First-player and second-player win: Difference between revisions

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Some games with relatively small [[game tree]]s have been proven to be first or second player wins. For example, the game of [[nim]] with the classic 3–4–5 starting position is a first-player-win game. However, Nim with the 1-3-5-7 starting position is a second-player-win game. The classic game of [[Connect Four]] has been mathematically proven to be first-player-win.
 
The first player in [[English draughts|Checkers]], can only guarantee themselves a draw under perfect play.<ref>{{cite web|url=http://www.sciencemag.org/cgi/content/abstract/1144079 |title=Checkers Is Solved - Schaeffer et al. 317 (5844): 1518 - Science |publisher=Sciencemag.org |date= |accessdate=2008-11-24}}</ref>
Another example of a draw game is [[tic-tac-toe]].