Mayorización y orden de Lorenz para el análisis de concentración del gasto en contratos de prestación de servicios

Abstract

This undergraduate thesis, developed as an internship project, analyzes concentration and inequality in administrative records of Service Provision Contracts (CPS) from SIIF Nación for the period 2022-2025. The objective is to compare how contract amounts are distributed by year, by expenditure stage —commitments, obligations, and payments— and by institutional aggregation criteria, such as sector and executing unit. The mathematical core of the analysis is the Lorenz curve and the Lorenz order —majorization—, complemented by indicators such as the Gini index and the HHI. The methodology is implemented through a reproducible pipeline for data cleaning, aggregation, and metric calculation, including consistency checks. The results reveal stable concentration patterns that vary according to the aggregation level, providing a traceable and updatable quantitative diagnosis for institutional monitoring.