{"title":"论预测市场中预测的趋同性","authors":"Nina Badulina, Dmitry Shatilovich, Mikhail Zhitlukhin","doi":"arxiv-2402.16345","DOIUrl":null,"url":null,"abstract":"We propose a dynamic model of a prediction market in which agents predict the\nvalues of a sequence of random vectors. The main result shows that if there are\nagents who make correct (or asymptotically correct) next-period forecasts, then\nthe aggregated market forecasts converge to the next-period conditional\nexpectations of the random vectors.","PeriodicalId":501084,"journal":{"name":"arXiv - QuantFin - Mathematical Finance","volume":"81 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On convergence of forecasts in prediction markets\",\"authors\":\"Nina Badulina, Dmitry Shatilovich, Mikhail Zhitlukhin\",\"doi\":\"arxiv-2402.16345\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We propose a dynamic model of a prediction market in which agents predict the\\nvalues of a sequence of random vectors. The main result shows that if there are\\nagents who make correct (or asymptotically correct) next-period forecasts, then\\nthe aggregated market forecasts converge to the next-period conditional\\nexpectations of the random vectors.\",\"PeriodicalId\":501084,\"journal\":{\"name\":\"arXiv - QuantFin - Mathematical Finance\",\"volume\":\"81 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-02-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - QuantFin - Mathematical Finance\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2402.16345\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - QuantFin - Mathematical Finance","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2402.16345","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We propose a dynamic model of a prediction market in which agents predict the
values of a sequence of random vectors. The main result shows that if there are
agents who make correct (or asymptotically correct) next-period forecasts, then
the aggregated market forecasts converge to the next-period conditional
expectations of the random vectors.