I've been thinking recently about the dangers of symmetry in a game. That is, if all players start with equivalent positions, and there is no mechanism for breaking that starting symmetry, you often wind up with a degenerate game.
By a "degenerate game," I mean one that breaks down for one of several reasons. One reason might be that the game is solvable, in the fashion of Tic Tac Toe and that, once solved, the interest in playing it evaporates. Hex is an example of a much more complicated game that nonetheless is solvable (or at least, has been solved for up to 9x9 grids).