In this paper we extend the concept of Competitivity Graph to compare seriesof rankings with ties ({em partial rankings}). We extend the usual method usedto compute Kendall's coefficient for two partial rankings to the concept ofevolutive Kendall's coefficient for a series of partial rankings. Thetheoretical framework consists of a four-layer multiplex network. Regarding thetreatment of ties, our approach allows to define a tie between two values whenthey are close {em enough}, depending on a threshold. We show an applicationusing data from the Spanish Stock Market; we analyse the series of rankingsdefined by $25$ companies that have contributed to the IBEX-35 return andvolatility values over the period 2003 to 2013.
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