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The capital cities of the states of the Mexican Republic present a considerable heterogeneity in terms of their level of public security, so their correct characterization is an essential requirement, but not sufficient, for the elaboration of public policies for the prevention of crimes in the common jurisdiction. In this paper, we propose a multicriteria decision model based on the hierarchical ELECTRE III method that assists in how a policy maker can carry out this task. The objective of the work is to measure and compare the incidence of crimes of common jurisdiction in the capital cities of the states of the Mexican Republic. This model compares public security in 31 capital cities, adapting the situation as a multicriteria ranking problem to order the different capitals by their level of public security. The results showed that the model could identify the level of comprehensive public security of a capital city compared to the rest. Similarly, it also shows the disparities of this phenomenon between capital cities in relation to high, medium and low impact crimes.