The aim of this work is to design a Multi-Agent System (MAS) simulation to model the French labor market. We departed from an economic model proposed by Cahuc and Carcillo to model the introduction of a new job contract into the labor market. We designed a specific methodology to convert this equation-based model to an agent-based model, and calibrated our MAS to reproduce the data found in the economic simulations. As we observed the same tendencies found in the former one, a new dimension emerged from the agent-based simulation: an increase of oscillations for the characteristic rates, revealing an increase of precariousness (job instability) due to the new type of contract. These encouraging results lead us to pursue into that direction, where several extensions of our model can be proposed, including the move to a large-scale simulation framework.