A MODEL OF NONBELIEF IN THE LAW OF LARGE NUMBERS
研究人们为何不相信大数定律,即认为即使样本很大,比例也可能偏离总体均值,并探讨这种信念对预测、推断及经济行为的影响。
People believe that, even in very large samples, proportions of binary signals might depart significantly from the population mean. We model this "non-belief in the Law of Large Numbers" by assuming that a person believes that proportions in any given sample might be determined by a rate different than the true rate. In prediction, a non-believer expects the distribution of signals will have fat tails. In inference, a non-believer remains uncertain and influenced by priors even after observing an arbitrarily large sample. We explore implications for beliefs and behavior in a variety of economic settings.