Fixed points and European soccer leagues: discussing the trajectories of European soccer teams by the density of fixed points
Abstract
All soccer teams visit their final standing ranks before their final journeys. This work analyzes the trajectory of European soccer teams toward their final standing ranks for the seasons between 2004/2005 and 2012/2013. We studied six professional soccer leagues (England, Germany, Italy, the Netherlands, Portugal, and Spain). Referring to the fixed point theorem and to quantile regressions, this article concludes that the Dutch league is the one characterized by the largest value for its fixed point, exhibiting more rank changes than the others with the same percentage of played journeys. The English and Italian leagues were identified as the leagues in which a higher share of teams tended to stabilize at their final standings’ ranks at the earliest journeys.
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The works and papers that are published in this Journal are subject to the following terms:
1. The Publication Service of the University of Murcia (the publisher) has the Publication Rights (Copyright) to the published papers and works, and favors and permits the reusing of the same under the license indicated in point 2.
© Servicio de Publicaciones, Universidad de Murcia, 2013
2. The papers and works are to be published in the digital edition of the Journal under the license Creative Commons Reconocimiento-No Comercial-Sin Obra Derivada 3.0 España (legal text). The copying, using, spreading, transmitting and publicly displaying of the papers, works or publication are permitted as long as: i) the authors and original sources (Journal, publisher and URL of the publication) are quoted; ii) it is not used for commercial benefit; iii) the existence and specifications of this users license are mentioned.
3. Conditions of Self-Archiving. It is permitted and encouraged that the authors spread electronically the pre-print (before printing) and/or post-print (the revised, evaluated and accepted) versions of their papers or works before their publication since this favors their circulation and early diffusion and therefore can help increase their citation and quotation, and also there reach through the academic community.
