Does anyone have expirience with the misere version of dots and boxes (ie: where you are trying to lose)? Intuitively I would say that the games would rarely be close but I have no clue on strategy.
Is there something similar to the chain rule? Would anyone like to play? (we can just play dots and boxes unrated here and agree that we try to lose).
Yes I would like to play.
Usually misere forms are more complex than normal form even for simple combinatorial games, see Dawson Chess for example (which looks a bit like Breakthrough).
I can see why it should not be close: if closing is square is not mandatory, all the squares will have three sides up to the end, where last player will close them all, see for example 2x1 where 1st player wins 2-0 by playing central line...
Or do you want to force a player to complete a 3-sided square?
Yeah, I would think the last player would just be forced to take everything. But maybe a player could be interested in taking boxes to change parity.
For example if a player is faced with a half heated handout might chose to take the box (incuring one penalty point) to prevent the double cross (which I guess changes parity).
It actually seems like it could be really interesting but like dots and boxes it might have a steep learning curve.
It would be fun if we could gather a couple of at least semi-expirienced dots and boxes players to explore it.
Carroll, I will invite you to a game. Thanks for the paper.
On the description of the UT, you say "the champion is the one who finishes last", usually for misère games it is "last move loses".
Here it should be the player with less completed squares wins, even if I agree that there are chances for the last moves to complete most squares.
Btw, the 1xN game seems very easy to win for p1 just by making lots of vertical lines and never allow for any double crosses (sacraficing a box where necessary).
Yes the Swedish version where all the edges are drawn is much more interesting, for example can you figure out how 1st player can win by 1 point in the 1x17 Swedish game?
Appearently there is some confuson, as to weather you should resign or play the games out. I am for playing the games out, but I agree that it is sort of weird that you can "win" by resigning all your games.
Does anyone have some thoughts? It is just important that we follow the same standard in the tournament so we can see who won and who lost.
If you review old games, nothing will make it appear as a misere game, so you could have a hard time to understand how it was played if you get to the end and it seems you won this game... which was a lost misere game.
So I think resigning makes more sense.
But then the winner of the UT will be the one at the top.
Ok, it is decided. We will want people losing (getting more boxes) to resign before the game is over. This means that the champion will be the one on top.
If someone doesn't want to do there, there is of course nothing I can do about it (nor do they gain anything from it except making it more confusing to see who won the tournament).
So please remind your opponent to resign in the end of the game.
I will update the tournament description to reflect the change.
It would be a lot of fun if richard would implement it.
The strategy i have found is that it depends on the number of double crosses. Player 1 wants an equal number of double crosses and player two and odd one. So the battle is how much to sacrafice to win the chain war, pretty similar to the normal one.
I don't like it, but maybe that's because I suck ;)
I knew it was going to be a parity battle of double crosses, it follows almost directly from the proof of the chain rule I once studied. I have a hard time evaluating regions though. I never studied nim theory, but I'm not sure if that would've helped me here.
Does anyone think a 4x4 board would've been more appropriate for this tournament. I feel like there's a lot of "meaningless" moves at the start. I know, I know, we all thought the same about regular DnB when we started :p
No, I think 4x4 is too small. What makes it interesting in 5x5 is that when it comes to sacrifices to win the parity battle, the interior 9 squares are quite heavy compared with the about two thirds of the 16 border squares.
So to answer the OP, we can have quite close scores in this version.
Hehe I am pretty bad at this. Were all games lost by the player who took the final boxes? This seems similar to new players playing the normal game where the winner of the chain battle always wins.
In my game against Aldiris, it turn out that my foreseen 12 boxes sacrifice was actually 13... so I tried something else he spotted easily.
I think it is better not to sacrifice too many boxes at in the same move to take advantage of each free move to decrease the boxes left around the border.
It doesn't seem as deep as normal rules. The LCB collapses onto something is even simpler than the SCB in normal rules (0:X or X:0, compared to -2/-1/=/+1/2), and there's nothing akin to the LCD in normal rules. So I concur with Christian that it's mostly a matter of counting the cost of sacrificing enough. That in turn is still interesting, but it is the feature that makes 6x6 normal different from 5x5 normal. (And most people I know consider 6x6 less elegant as a game.)
I kinda agree with aldiris - the initial 20+ moves do appear to be mostly random, pretty much anything can happen in almost any game after that number of moves.
I've won my first game, but clearly my opponent understands the game better than me as he resigned before I could prove to myself that I had a win. (There's still some sacrificeable not-quite-chains.)
@FatPhil: I don't understand a word of what you guys are discussing, it's all far over my head. In spite of that, prooving your position was won looks comparatively easiy to me. Makes me wonder if in fact I have even understood less than I thought! :-)
Richy, you're winning one of our games, if I'm not mistaken ;)
I agree now that 4x4 would be too small and 5x5 or even 6x6 would be better. Mainly because of a better ratio of edge boxes vs middle boxes. The middle boxes generally seem to be sacrificed (i.e. taken) to force your opponent to take the boxes on the edge.
It was an interesting tournament ! Congrats to Dryad !
I have been puzzled by one of my games where I won despite having wrong parity, I hope that someone could clear it up for me.
In game 1554222, I have the impression it is the equivalent of misere nim *2+*2 which loses for next player, but:
A) it is not an impartial game, but a partisan game (color matters)
B) maybe equivalently, in other situation of this type I had the impression the player with right parity had the right number of waiting moves.
I have the right parity in the end, but it seems around move 25, second player has enough room to make another chain. This room was then converted to a shape with 0 or 2 chains.