1 research outputs found
Multivision: an intractable impartial game with a linear winning strategy
Something is definitely wrong. If the game has a linear winning strategy,
then it is tractable. What's going on? Well, we describe a two-person game
which has a definite winner, that is, a player who can force a win in a finite
number of moves, and we determine the winner in linear time. Moreover, the
winner's winning moves can be computed in linear time, yet the game is highly
intractable. In particular, at each step, except the very last ones, a player
can make the length of play arbitrarily long.
Unfortunately, the space for this summary is too small to contain a proof
that these properties are not contradictory.Comment: To appear in Amer. Math. Monthly (Dec. 1998