  This study proposes a new approach to assessing urban accessibility using the
competitive equilibrium method, an adaptation of the balancing cost method that
incorporates competition among users into dual accessibility metrics. The need
for this method arises from verifying the inability of the balancing cost
method to measure the competitive dynamics of transport systems precisely. The
method works by continuously updating available opportunities based on the
number of competitors, capturing competition effects, and differentiating
regions according to demand and supply. The application results in three cities
in the interior of S\~ao Paulo demonstrate that competitive equilibrium is
significantly more sensitive to employment supply variations and can measure
potential competitors by area. In addition, the data used, and the
computational tools developed are made available, allowing for the replication
of the work and application in future studies.
