In this paper we address the question of the role of electricity consumers in a smart grid for a day-ahead scheduling. We aim to understand them on a technical but also a socio-economical level. For this purpose, we based our work on a multidisciplinary approach to define involvement profiles among electricity consumers we can then use in a management strategy of a smart grid. Considering that a real consumer behaviour is a combination of various objectives and constraints, the final number of elementary profiles is here limited to five. The goal is to be able to manage the energy efficiently while helping both part (consumer and utility) to reach their objectives, respecting these profiles