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{"type": "doc", "content": [{"type": "paragraph", "content": [{"text": "This market will resolve according to a ", "type": "text"}, {"text": "quasi-arithmetic mean", "type": "text", "marks": [{"type": "link", "attrs": {"href": "https://en.wikipedia.org/wiki/Quasi-arithmetic_mean", "class": "break-anywhere hover:underline hover:decoration-primary-400 hover:decoration-2 active:underline active:decoration-primary-400", "target": "_blank"}}]}, {"text": " of its probability. If the mean is larger than 50%, it resolves YES. Otherwise, it resolves NO. ", "type": "text"}]}, {"type": "paragraph"}, {"type": "paragraph", "content": [{"text": "The particular mean I am using is the f-mean with f(p) = sgn(p-.5)*(p-.5)^2. In other words, I take the difference of the probability p from 50%, square it, add a positive sign if it's >50% and a negative sign if it's <50%, and take the average of that over the entire time the market is open (time-weighted, as always). Then I convert it back into a number between 0 and 1 (everything is symmetric between p and 1-p here, so 0.5 would be the mean if the average of sgn(p-.5)*(p-.5)^2 is 0). ", "type": "text"}]}, {"type": "paragraph"}, {"type": "paragraph", "content": [{"text": "The standard arithmetic mean is exactly equivalent to this procedure if you replace (p-.5)^2 with |p-.5|. In other words, this market is like a standard arithmetic mean market, except with all the probabilities weighted by their distance from 1/2. This means it rewards you more for bringing the market to more ", "type": "text"}, {"text": "EXTREME", "type": "text", "marks": [{"type": "bold"}]}, {"text": " probabilities. For example, holding it at 70% helps Team YES four times as much as holding it at 60%, instead of just twice as much. Therefore, the typical strategy of, \"Don't waste effort bringing the market that much higher/lower than 50%, instead keep it slightly above or below for a long time,\" might not work as well.", "type": "text"}]}]}
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{"type": "doc", "content": [{"type": "bulletList", "content": [{"type": "listItem", "content": [{"type": "paragraph", "content": [{"text": "You can add your own options, but they need to be (1) ", "type": "text"}, {"text": "easy to verify", "type": "text", "marks": [{"type": "bold"}]}, {"text": ", & (2) resolvable within a month of release (e.g. no \"S4 released in 2025?\"). ", "type": "text"}]}, {"type": "bulletList", "content": [{"type": "listItem", "content": [{"type": "paragraph", "content": [{"text": "I am serious about this—I will not waste my time trying to figure out whether the number of times Carmy swears is a prime number, I'll just ask the mods to N/A without mercy (or I'll resolve bad answers to 50%).", "type": "text"}]}]}]}]}, {"type": "listItem", "content": [{"type": "paragraph", "content": [{"text": "All episodes drop on June 27th. This market closes at midnight PT, June 26th.", "type": "text"}]}, {"type": "bulletList", "content": [{"type": "listItem", "content": [{"type": "paragraph", "content": [{"text": "So for uncertain options, you'll get some liquidity back (and I'll add liquidity myself once more options are added).", "type": "text"}]}]}]}]}, {"type": "listItem", "content": [{"type": "paragraph", "content": [{"text": "I'm slow and might not finish watching S3 for a few weeks. To avoid delay, I'm happy to resolve any options based on agreement in the comments (plus any mods who watch the show are welcome to resolve options any time, based on their own judgment).", "type": "text"}]}]}, {"type": "listItem", "content": [{"type": "paragraph", "content": [{"text": "Please ask if any options need clarification—I can add more context.", "type": "text"}]}]}]}]}
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"text", "marks": [{"type": "link", "attrs": {"href": "https://www.google.com/finance/quote/VIX:INDEXCBOE", "class": "break-anywhere hover:underline hover:decoration-primary-400 hover:decoration-2 active:underline active:decoration-primary-400", "target": "_blank"}}]}]}]}]}]}]}, {"type": "paragraph"}, {"type": "paragraph", "content": [{"text": "Market Close/Open Times ", "type": "text", "marks": [{"type": "bold"}]}, {"text": "(The Times Listed May Be Off Slightly Due To Daylight Savings And Will Be Corrected Once Further Confirmed)", "type": "text", "marks": [{"type": "bold"}, {"type": "italic"}]}]}, {"type": "bulletList", "content": [{"type": "listItem", "content": [{"type": "paragraph", "content": [{"text": "Asia", "type": "text", "marks": [{"type": "bold"}]}]}, {"type": "bulletList", "content": [{"type": "listItem", "content": [{"type": "paragraph", "content": [{"text": "Nikkei 225: 8pm ET-2am ET / 1am UTC-7am UTC", "type": "text", "marks": [{"type": "bold"}]}]}]}, {"type": "listItem", "content": [{"type": "paragraph", "content": [{"text": "Shanghai & Hang Seng: 930pm ET-3am ET / 230am UTC-8am UTC", "type": "text", "marks": [{"type": "bold"}]}]}]}, {"type": "listItem", "content": [{"type": "paragraph", "content": [{"text": "BSE & NIFTY 50: 1045pm ET-5am ET / 345am UTC-10am UTC", "type": "text", "marks": [{"type": "bold"}]}]}]}]}]}, {"type": "listItem", "content": [{"type": "paragraph", "content": [{"text": "Europe", "type": "text", "marks": [{"type": "bold"}]}]}, {"type": "bulletList", "content": [{"type": "listItem", "content": [{"type": "paragraph", "content": [{"text": "All Markets: 3am ET-12:30pm ET / 9am - 5:30pm UTC", "type": "text", "marks": [{"type": "bold"}]}]}, {"type": "bulletList", "content": [{"type": "listItem", "content": [{"type": "paragraph", "content": [{"text": "FTSE opens/closes at 1 hour earlier at 11:30am ET / 4:30pm UTC", "type": "text", "marks": [{"type": "bold"}]}]}]}]}]}]}]}, {"type": "listItem", "content": [{"type": "paragraph", 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{"type": "doc", "content": [{"type": "paragraph", "content": [{"text": "If you add interesting answers, they will then be included in the survey. The purpose of this market is to get tips on unexpected things that might correlate with conservatism. If you add uninteresting things or things that are already shown by a lot of research to correlate with conservatism, I may remove them at my discretion.", "type": "text", "marks": [{"type": "bold"}]}]}, {"type": "paragraph"}, {"type": "paragraph", "content": [{"text": "I will be running a big survey on things that correlate with political attitudes, especially conservatism. If a variable has a statistically significant correlation in the sample with self-rated conservatism, it will resolve yes.", "type": "text"}]}, {"type": "paragraph"}, {"type": "paragraph", "content": [{"text": "I reserve the right to add controls ", "type": "text"}, {"text": "as I see fit", "type": "text", "marks": [{"type": "italic"}]}, {"text": " when testing the hypotheses. I will use my own common sense about what kind of controls are appropriate for what kinds of hypotheses, based on whether the correlation is still theoretically interesting without the control structure. My common sense might be different to yours. ", "type": "text"}, {"text": "You have been warned", "type": "text", "marks": [{"type": "italic"}]}, {"text": ". ", "type": "text"}]}]}
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