Gentrification is a pressing and controversial phenomenon that is reshaping thousands of cities around the world. Although it offers the possibility of revitalizing degraded urban areas, its potential to displace long-term low-income residents poses a major threat. Many aspects of this phenomenon are still widely debated, including whether it results in greater social and income integration, and which policies could mitigate its harmful effects. In this thesis, we propose an agent-based model (ABM) to study the impact of gentrification on urban segregation and to explore how public housing policies could affect its dynamics. The model simulates a stylized city populated by two classes of agents: low- and high-income residents.