Talk:Game without a value
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Should be merged
[edit]But to where, I don't know. --124.106.231.91 (talk) 13:08, 10 November 2008 (UTC)
Possible error in figure legend
[edit]In the figure legend, the sentence :
"The payoff is 0.5 along the two diagonal lines"
should probably read :
"The payoff is 0.0 along the two diagonal lines" — Preceding unsigned comment added by 94.67.176.244 (talk) 14:42, 18 January 2015 (UTC)
- Right. I confirmed that it needs to be 0 to be consistent with the stated bounds, and fixed the caption. Joule36e5 (talk) 21:34, 25 September 2015 (UTC)
Possible simpler example?
[edit]I have a possible simpler example. Both players choose a number in (0, 1]. The payoff for player 1 is 1 if their number is smaller, 0 if equal, and -1 if smaller. Then sup inf equals -1, and inf sup equals 1. Both players want to choose the smaller number, and if one player knows the other's PDF, then they undercut with a pure strategy x, which is positive. This can be shown using similar arguments as in the article. Mainly, for any PDF f on (0, 1], then the weight on [x, 1] has limit 1 as x -> 0, so there exists a positive number x with P(sample from f > x) > 0.99. It may be possible to add 0 to the choice set of both players and maintain a positive value gap, but I did not do that. 38.73.247.37 (talk) 21:49, 20 May 2022 (UTC)
Is this better named a "game without a minimax value"?
[edit]Is this better named a "game without a minimax value"? If this is not what sort of value does this game not have. This article wrongly ignores this term for which the the article is named. tahc chat 20:47, 13 May 2023 (UTC)