We consider a multi-agent model of a simple economical system and study the impacts of a wave of immigrants on the stability of the system. Our model couples a labor market with a goods market. We first create a stable economy with N agents and study the impact of adding n new workers in the system. The time to reach a new equilibrium market is found to obey a power law in n. The new wages and market prices are observed to decrease as 1/n, whereas the wealth of agents remains unchanged.
Kaufmann, L., Razakanirina, R., Groen, D., & Chopard, B. (2018). Impact of immigrants on a multi-agent economical system. PLoS ONE, 13(5). https://doi.org/10.1371/journal.pone.0197509