Editing Star (game theory) (section)

==Why &lowast; ≠ 0==
A [[combinatorial game]] has a positive and negative player; which player moves first is left ambiguous. The combinatorial game&nbsp;[[zero (game)|0]], or '''{&nbsp;|&nbsp;}''', leaves no options and is a second-player win. Likewise, a combinatorial game is won (assuming optimal play) by the second player [[if and only if]] its value is&nbsp;0. Therefore, a game of value&nbsp;&lowast;, which is a first-player win, is neither positive nor negative. However, &lowast; is not the only possible value for a first-player win game (see [[nimber]]s).

Star does have the property that the [[sum of combinatorial games|sum]] {{nowrap|&lowast; + &lowast;}}, has value 0, because the first-player's only move is to the game&nbsp;&lowast;, which the second-player will win.