What theory argues that punishments for rule violators are unequally distributed, with those near the top of society subject to more lenient rules and sanctions than those at the bottom?

conflict theory.

Explanation:

Conflict theories are perspectives in sociology and social psychology that emphasize a materialist interpretation of history, dialectical method of analysis, a critical stance toward existing social arrangements, and political program of revolution or, at least, reform. Conflict theories draw attention to power differentials, such as class conflict, and generally contrast historically dominant ideologies. It is therefore a macro-level analysis of society.

Karl Marx is regarded as the father of social conflict theory, which is a component of the four major paradigms of sociology. Certain conflict theories set out to highlight the ideological aspects inherent in traditional thought. While many of these perspectives hold parallels, conflict theory does not refer to a unified school of thought, and should not be confused with, for instance, peace and conflict studies, or any other specific theory of social conflict.