Theory for socio-demographic enrichment performance using the inverse discrete choice modelling approach

•Existing data enrichment methods lack ways of a priori performance assessment.•A theory for the enrichment performance of the inverse discrete choice modelling (IDCM) approach is proposed.•Choice-making process works analogically to the information communication channel.•IDCM performs no worse than existing methods in binary enrichment context.•IDCM performance can be predicted prior to the enrichment.