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Timeline for If repetition loses, who wins KvK?

Current License: CC BY-SA 4.0

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Jun 9 at 11:18 vote accept Laska
Jun 21, 2023 at 13:05 history edited Laska CC BY-SA 4.0
clarify
Jun 20, 2023 at 12:44 answer added Laska timeline score: 3
Dec 2, 2021 at 12:37 history edited Daniel Alfredo Sottile
Added important tag chess-variants
Nov 24, 2021 at 15:32 answer added Komorebi timeline score: 3
Aug 13, 2021 at 12:34 comment added Laska I think that’s the beginning of an answer. The proof can work for any size board and is not dependent on computer analysis.
Aug 12, 2021 at 8:35 comment added Minot I tried it on 3x3 board, the first mover wins in all possible lines. In 4x4 board, I haven't tried all possible lines but the first mover seems to have the advantage. If we were able to generalize this to 8x8 board, I would say the color who has the first move wins. But of course this is neither a complete nor a proved correct answer. This problem might be brute-forced by a computer easily if you implement the rules.
Jun 29, 2021 at 3:31 comment added Laska Thanks for the comments. I've clarified the original post. Let's say that you are looking at the position just after the 30th capture has been played. So that's the breadth that John's solution covers
Jun 29, 2021 at 3:27 comment added Steve Bennett You're looking for the complete strategy to win this game no matter the starting position of the two kings? That seems broad.
Jun 29, 2021 at 3:24 history edited Laska CC BY-SA 4.0
remove stalemate
Jun 29, 2021 at 3:22 comment added Laska So it's a practical guide for best play after the 30th capture. It doesn't cover all situations where the kings have then been wandering aimlessly for a while, which would be very complicated
Jun 29, 2021 at 3:11 comment added Laska @Steve Bennett. The solution should specify what makes a position winning, and how to win from there
Jun 29, 2021 at 2:55 comment added Steve Bennett Don't we need to know where the two kings are and whose turn it is to answer this?
Jun 28, 2021 at 23:54 history edited Laska CC BY-SA 4.0
added 65 characters in body
Jun 28, 2021 at 15:08 history edited Laska CC BY-SA 4.0
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Jun 28, 2021 at 14:05 history edited Laska CC BY-SA 4.0
simplify
Jun 28, 2021 at 13:46 history edited Laska CC BY-SA 4.0
go
Jun 28, 2021 at 8:44 history edited Laska CC BY-SA 4.0
clarify
Jun 28, 2021 at 8:37 history edited Laska CC BY-SA 4.0
added clarification
Jun 28, 2021 at 8:34 comment added Laska @RosieF Much though I love the Dead Position rule, I am trying not to get involved with Dead Position rule in this. Dead position merely prunes play when there are no checkmates ahead. In this variant, since there are additional ways to win, I guess the DP rule should be expanded to mention those other wins. Maybe I should exclude the 50 move rule. If this is a problem, it is non-retro, and therefore one can ignore 50-move rule & DP rule anyway
Jun 28, 2021 at 7:24 comment added Rosie F In KRvKN, in chess, capture of the R, or a R check which forces black to take the R, kills the position because mate is now impossible. But perhaps, in your variant, play must go on because the result is not yet settled? Depends on how you score it.
Jun 28, 2021 at 7:23 comment added Rosie F Deeming stalemate a loss entails identifying which player stalemated the other. So perhaps you'd consider it reasonable, when the position is dead, to identify the player who played from an alive position to a dead one. What the result would be depends on how you define your variant. Or perhaps your variant doesn't have the same notion of "dead position" as chess, and the position is dead only at KvK?
Jun 27, 2021 at 12:33 history edited Laska CC BY-SA 4.0
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Jun 27, 2021 at 12:23 history asked Laska CC BY-SA 4.0