4 ms·
Is there an inaccuracy for https://www.craig-wood.com/nick/oxo2d/b2/ https://www.craig-wood.com/nick/oxo2d/b2/ ? I believe the optimal response to: X . .
by reaperman 3y ago
Is there an inaccuracy for https://www.craig-wood.com/nick/oxo2d/b2/ https://www.craig-wood.com/nick/oxo2d/b2/ ?
I believe the optimal response to:
X . .
. O .
. . .
Should be
X . .
. O .
. . X
Which offers a reasonable opportunity for "O" to mess up by choosing a corner. But instead your script plays
X X .
. O .
. . .
Which guides the human player to reflexively counter accurately without thinking.
- mizzao 3y agoThe game is playing a minimax strategy, which means if you go first it will at least draw, and if it goes first it will never lose.
- reaperman 3y agoMinimax seems logical on its face... but it costs nothing to slightly increase % chance of a win. And wins have some value over draws.
- naniwaduni 3y agoThe immediate threat offers the opponent 5/6 losing moves, whereas yours offers only 2/6 losing moves. The rationale is quite similar to your choice of the initial corner move rather than center: there are 7/8 losing responses to turn 1 corner, and only 4/8 losing responses to turn 1 center. But you'll probably get more humans to pick a losing side response to center than pick a losing non-center response to corner.
- reaperman 3y ago> The immediate threat offers the opponent 5/6 losing moves, whereas yours offers only 2/6 losing moves. This would be relevant if humans made their choice with a significant amount of randomness. But I argue that in this specific situation, very nearly every human will play to block the obvious threat. I believe humans will be more likely to pick one of the two losing moves in the slightly more abstract/delayed threat scenario, than they would be to pick one of the 5 losing moves in the immediate threat scenario.
- naniwaduni 3y agoYes, I believe this too. I also believe humans are more likely to pick one of the 4/8 losing moves if you open center than one of the 7/8 losing moves if you open corner, though.
- reaperman 3y agoAh, this clarifies your other point above. Thank you!