RT Conference Proceedings T1 A new approach to polarization modeling using Markov chains A1 Guevara Gil, Juan Antonio A1 Gómez González, Daniel A1 Castro Cantalejo, Javier A1 Gutiérrez García-Pardo, Inmaculada A1 Robles Morales, José Manuel A2 Ciucci, Davide A2 Couso, Inés A2 Medina, Jesús A2 Ślęzak, Dominik A2 Petturiti, Davide A2 Bouchon-Meunier, Bernadette A2 Yager, Ronald R. AB Abstract: In this study, we approach the problem of polarization modeling with Markov Chains (PMMC). We propose a probabilistic model that provides an interesting approach to knowing what the probability for a specific attitudinal distribution is to get to an i.e. social, political, or affective Polarization. It also quantifies how many steps are needed to reach Polarization for that distribution. In this way, we can know how risky an attitudinal distribution is for reaching polarization in the near future. To do so, we establish some premises over which our model fits reality. Furthermore, we compare this probability with the polarization measure proposed by Esteban and Ray and the fuzzy polarization measure by Guevara et al. In this way, PMMC provides the opportunity to study in deep what is the performance of these polarization measures in specific conditions. We find that our model presents evidence that in fact, some distributions will presumably show higher risk than others even when the entire population holds the same attitude. In this sense, according to our model, we find that moderate/indecisive attitudes present a higher risk for polarization than extreme attitudes and should not be considered the same scenario despite the fact that the entire population maintains the same attitude. SN 978-3-031-08973-2 SN 978-3-031-08974-9 YR 2022 FD 2022 LK https://hdl.handle.net/20.500.14352/104417 UL https://hdl.handle.net/20.500.14352/104417 LA eng NO Guevara, J.A., Gómez, D., Castro, J., Gutiérrez, I., Robles, J.M. (2022). A New Approach to Polarization Modeling Using Markov Chains. In: Ciucci, D., et al. Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2022. Communications in Computer and Information Science, vol 1602. Springer, Cham. https://doi.org/10.1007/978-3-031-08974-9_12 NO Communications in Computer and Information Science (CCIS, volume 1601) NO Ministerio de Asuntos Económicos y Transformación Digital (2020-2023), España NO Ministerio de Economía, Comercio y Empresa (2023-2024), España DS Docta Complutense RD 23 abr 2025