Designing Randomized Response Surveys to Support Honest Answers to Stigmatizing Questions

Randomized response survey methods use noise to mask respondents’ answers to stigmatizing questions. Respondents weigh the preference for honesty against the disu- tility of stigmatization when deciding how to answer. Since the disutility of stigmati- zation depends on the degree of noise, the interviewer designs the survey to balance two goals: (i) honest reporting by respondents and (ii) maximization of the accuracy of estimates based on the survey. We fully characterize the non-linear set of design parameter that lead to truth-telling, as well as the interviewer’s equilibrium survey design