Timeline for Negative of combinatorial game
Current License: CC BY-SA 4.0
14 events
| when toggle format | what | by | license | comment | |
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| Sep 19, 2023 at 13:14 | comment | added | Joel David Hamkins | This is related to what Gro-tsen has answered concerning whether negation and misere game are well-defined. | |
| Sep 19, 2023 at 13:07 | comment | added | Nick | I meant that if we have game in normal play, we can write inverse as $-G$, but I read that this is not possible in Misere game and instead we write conjugate $\overline{G}$, but I do not understand why misere game cannot be negated, thank you very much @JoelDavidHamkins | |
| Sep 19, 2023 at 12:12 | comment | added | Joel David Hamkins | Every game can be played as a misère game, and every game is the misère game of another game, so I don't quite understand your question. | |
| Sep 19, 2023 at 11:52 | comment | added | Nick | Thank you very much for your answer @JoelDavidHamkins ! I was also wondering why Misere games cannot be invertible? You still have some moves and they cannot be invertible because there does not exist negative for some opponent move? | |
| Sep 19, 2023 at 3:18 | comment | added | Timothy Chow | Wikipedia calls that variant losing chess. | |
| Sep 19, 2023 at 3:07 | comment | added | Joel David Hamkins | Yes, agreed. I was thinking of it mainly because those are the rules by which misere chess is often played in the club rooms at scholastic chess tournaments I have often attended when my kids were younger. | |
| Sep 19, 2023 at 2:55 | comment | added | Noah Schweber | @JoelDavidHamkins I think that version of chess, while much more natural to play, is not strictly "misere chess" in the game-theoretic sense. | |
| Sep 19, 2023 at 2:42 | comment | added | Joel David Hamkins | But I agree that without that convention play would be different. | |
| Sep 19, 2023 at 2:22 | comment | added | Joel David Hamkins | @TimothyChow Some forms of misère chess play with a forced capture rule (if you can capture you must), and in these forms, it can be advantageous to expose and thereby get rid of pieces that otherwise will be in effect controlled by your opponent. | |
| Sep 19, 2023 at 2:00 | comment | added | Timothy Chow | Misere chess is certainly very different. But the players are probably not "exposing their queens." To win, you still have to control the game. A strong misere player playing a weak misere player will probably gobble up material, then almost paralyze the weak player so that the weak player has only one or two legal moves on each turn. Only in that way can the weak player be forced to checkmate the strong player. Selfmate puzzles may give some sense of what the end of a misere chess game looks like. | |
| Sep 18, 2023 at 21:19 | history | edited | Joel David Hamkins | CC BY-SA 4.0 |
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| Sep 18, 2023 at 19:50 | history | edited | Joel David Hamkins | CC BY-SA 4.0 |
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| Sep 18, 2023 at 19:44 | history | edited | Joel David Hamkins | CC BY-SA 4.0 |
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| Sep 18, 2023 at 19:39 | history | answered | Joel David Hamkins | CC BY-SA 4.0 |