We propose to implement and simulate an economic model that studies the potential effects of the introduction of a new type of a job contract into the French labor market. This transition from a classical economic model to an agent-based simulation allows us to reproduce the same tendencies found in the former one and to observe a new dimension that emerges 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.