Criticism and controversies surrounding the Lorenz curve stem from its limitations and assumptions. Critics argue that it oversimplifies income inequality by only considering one dimension. They claim that it doesn't account for factors like race or gender disparities. Some also argue that it assumes perfect income distribution within groups, which is unrealistic. Others question its ability to capture the impact of government policies and interventions on inequality. Furthermore, critics argue that the Lorenz curve ignores the concentration of wealth at the top and the potential influence of outliers. Despite these criticisms, the Lorenz curve remains a widely used tool for understanding income distribution, albeit with its acknowledged limitations.