Hello everybody!

This is my first post. It is about my thesis I am slightly variating the Rauch search model to incorporate payroll taxes. I am taking this paper (https://www.banxico.org.mx/publicaciones-y-prensa/documentos-de-investigacion-del-banco-de-mexico/{E0480E95-6D08-F39E-3FD0-C5BCF2021FF6}.pdf) as my reference. However, I am unable to define the integral aggregators and the index functions (equation 5) defined on page 13. I am aware that there are 2 thresholds at which individuals change their optimal occupation. Thus, the index functions will be 1 for each occupation in a continuum of values until the individuals find optimal to change occupations. If you could help with this I would greatly appreciate it.

Best regards,