Wikipedia:Reference desk/Archives/Mathematics/2021 April 12

= April 12 =

reference for Dutch book questions
I look for a reference to Dutch book questions in game theory. I currently haven't been able to find any interesting questions. Does anyone have an idea or a reference? thanks--Exx8 (talk) 22:11, 12 April 2021 (UTC)
 * Are you looking for a Dutch book on game theory containing interesting questions? Or are you looking for questions to put in a Dutch book? In the latter case, take interesting questions in English (or Hebrew, or any language) and translate them to Dutch. --Lambiam 23:19, 12 April 2021 (UTC)


 * Ah, I see. "Dutch book" is a term of art in gambling. --Lambiam 23:28, 12 April 2021 (UTC)


 * The article does not clearly define the meaning of the term, but dives into discussing an argument, never making clear what the argument is, only what it purports to show. Is this a Dutch book: "Heads I win, tails you lose."? --Lambiam 23:39, 12 April 2021 (UTC)
 * The question regards Dutch book, not question written in Dutch nor question which is originated in the Netherlands .--Exx8 (talk) 08:26, 13 April 2021 (UTC)
 * Yeah, I got that much; see my post of 23:28, 12 April 2021. I had never heard the term, and our article does not properly explain the concept, but I get the impression that "Dutch book" implies that the minimax strategy for the bettor, playing against adversarial fate, is not to place a bet, which does indeed not make for interesting questions. Do you have a reference to a proper exposition? --Lambiam 09:36, 13 April 2021 (UTC)

Dutch book arguments appear in probability and in finance all the time. For game theory, there are lots of search hits including a math.stackexchange question similar to this one, so you might try looking at some of them. 2601:648:8200:970:0:0:0:1A5F (talk) 05:51, 17 April 2021 (UTC)