Mathematical relationship between Law, justice, humanity and corruption in Uganda

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Author(s): Arafat Bandha (, arafatbandha163@gmail.com),

Executive Summary:

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This paper presents a multi-disciplinary investigation into the systemic
displacement of justice and humanitarian principles by formal legal mechanisms in
Uganda, driven by endemic corruption. Drawing on institutional theory,
principal–agent models, and social contract philosophy, the study develops a
quantitative Justice Erosion Index (JEI) to measure the gap between de jure legal
rights and de facto access to justice across Ugandan institutions. Using panel data
from nationally and internationally recognised governance surveys (2005–2024),
the analysis reveals a statistically significant negative correlation (r = −0.88, p <
0.001) between the country's corruption perception score and its rule-of-law
ranking. A mathematical model incorporating bribe-payment equilibria,
case-backlog dynamics, and legal-aid accessibility demonstrates how rent-seeking
behaviour by legal actors creates a self-reinforcing cycle that structurally excludes
the poor and marginalised from due process. Findings indicate that over 68% of
court users report unofficial payments as a prerequisite for case progression, while
74% of police-service users encountered solicitation. The paper concludes with
policy recommendations anchored in institutional redesign, salary reform, and
judicial accountability frameworks.

Documents:
Uganda_Justice_Corruption_Paper-1-1.pdf

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