Timeline for The median game
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 1, 2022 at 23:18 | vote | accept | Dmitry Kamenetsky | ||
| Apr 1, 2022 at 23:18 | comment | added | Dmitry Kamenetsky | This is a great answer! Your assumptions are correct. | |
| Apr 1, 2022 at 16:36 | history | edited | hexomino | CC BY-SA 4.0 | added 190 characters in body |
| Apr 1, 2022 at 16:23 | comment | added | noedne | That's fine, but maybe it should be stated that this assumption is why 1 and 2 have equal probabilities of winning after choosing 5 and 6. A symmetry argument assumes that there is some well defined probability of winning in the first place, which has not yet been shown. | |
| Apr 1, 2022 at 16:11 | comment | added | hexomino | @noedne Ok, what you're essentially saying is that OP should clarify that equally optimal strategies are equally likely to be executed, right? I'm happy enough that we assume this, given my comment and the response under the question. Otherwise, the question has no definitive answer. | |
| Apr 1, 2022 at 15:35 | comment | added | hexomino | @noedne I'm not sure what you mean. Even if Player 3 always chooses the same number, they don't know what Player 4 or 5 will do so still have a 1/7 chance of winning. | |
| Apr 1, 2022 at 11:39 | history | edited | hexomino | CC BY-SA 4.0 | deleted 6 characters in body |
| Apr 1, 2022 at 11:33 | history | answered | hexomino | CC BY-SA 4.0 |