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In his seminal work stability in competition, Hotelling developed a model for identifying the spatial equilibrium for two competing firms such that they maximize their market-share. He considered a linear area of fixed length and he showed that in this setting the two competing firms should be located side-by-side in the middle of the line. Hotelling's study has been then adopted and used to analyze and explain other phenomena in a variety of fields. However, the linear city model is purely theoretical, without any empirical validation. The goal of this study is to explore Hotelling's Law in its original space - i.e., that of firm competition - and identify possible adjustments needed to describe its application/validity in a non-linear city. In particular, we collect data from location-based social networks that include information for the number of customers in a venue and we compare them with the expectations from Hotelling's …