Monotone Treatment Response

This paper investigates what may be learned about treatment response when it is assumed that response functions are monotone, semimonotone, or concave-monotone. Nothing is assumed about the process of treatment selection and cross-individual restrictions on response are not imposed. The idea is to determine, for every member of the population, the response functions that pass through the realized (treatment, outcome) pair and that are consistent with the assumption imposed. These findings are then aggregated to determine what can be learned about the population distribution of response. The analysis is applied to the econometrics of demand and production.