Truthful Surveys

We consider the problem of truthfully sampling opinions of a population for statistical analysis purposes, such as estimating the population distribution of opinions. To obtain accurate results, the surveyor must incentivize individuals to report unbiased opinions. We present a rewarding scheme to elicit opinions that are representative of the population. In contrast with the related literature, we do not assume a specific information structure. In particular, our method does not rely on a common prior assumption.