The challenges raised by new energy technologies, clean energy sources and energy efficiency led us to reconsider the way we manage energy in electricity grids and the way the stakeholders are involved. To tackle these issues, the focus should emphasize not solely the technical side, but also the sociological and economic issues related to the development of these new energy solutions. This paper presents an Energy Management System (EMS) addressing the following question: how to take into account, from the grid point of view, a stakeholder willing to be involved in the grid ? Involvement-profiles amongst stakeholders, particularly the households, in terms of electricity consumption/production can be defined by a socio-economic approach, and we chose to use a potential game approach from the game theory to integrate those profiles and imagine the possible interactions among them, incorporating their sensitivities and objectives.