An efficient simulation algorithm for the generalized von Mises distribution of order two

In this article we propose an exact efficient simulation algorithm for the generalized von Mises circular distribution of order two. It is an acceptance-rejection algorithm with a piecewise linear envelope based on the local extrema and the inflexion points of the generalized von Mises density of order two. We show that these points can be obtained from the roots of polynomials and degrees four and eight, which can be easily obtained by the methods of Ferrari and Weierstrass. A comparative study with the von Neumann acceptance-rejection, with the ratio-of-uniforms and with a Markov chain Monte Carlo algorithms shows that this new method is generally the most efficient.

Perception of critical situations involving football fans: dynamics of conflict escalation and de-escalation

Title: The perception of critical situations involving football fans – how conflicts escalate or de-escalate Authors: Brechbühl, A.1, Schumacher, A.1 & Seiler, R.1 1Institute of Sport Science, University of Bern, Switzerland Abstract: Introduction: Fan violence in the context of football matches is a prominent issue in today’s western societies and Switzerland presents no exception. A lot of research has been conducted on reasons for fan violence, mostly with fans of national teams. A prominent model is the Elaborated Social Identity Model (ESIM; Drury & Reicher, 2000): ESIM highlights the importance of interactions between the involved groups and their effect on the development of social identities. Another model is the aggravation mitigation model (AM model; Hylander & Guvå, 2010) which illustrates factors that can contribute towards an escalation or non-escalation of group violence, such as the “categorization” of the opponent group. Despite these models, research about the individual perceptions, and in particular, what factors distinguish between an escalation versus a non-escalation of a potentially violent situation in domestic football, is as yet scarce. This explorative study examines perceptions of critical situations in the domestic football fan context in Switzerland. Methods: An explorative qualitative design was employed to gather data about critical situations (CS) around football matches of two clubs of the Raiffeisen Super League. A CS is defined as a setting in or around the football stadium where violence between football fans and another group could occur. Eight CS were identified and analysed. Fifty-nine narrative interviews with individuals involved in a CS, e.g. fans, police officers or security personnel, were conducted. Interviews were analysed using interpretative phenomenological analysis (IPA). Results: The involved opposing groups expressed group-specific perceptions. Furthermore a strong tendency to negatively stereotype the opponent group was observed. Provocative symbols, such as balaclavas or riot-gear uniforms, were considered as highly relevant for the interpretation of the situation. Successful communication and sufficient distance between opponent groups supported the appeasement of a CS. These findings also underline the importance of knowledge about the local fan culture. This culture serves as basis for the perception of legitimacy, which was assessed to be essential for a de-escalation of a CS by fans. Discussion/Conclusion: This study improves the understanding of fan violence in the domestic football context in Switzerland. Based on the results it is suggested to deploy security or police forces without riot gear but with the goal of seeking dialogue with the fans to increase the likelihood of a peaceful ending in a CS. The findings also support the applicability of the ESIM (Drury & Reicher, 2000) and the AM model (Hylander & Guvå, 2010) in the context of domestic fan violence. Due to possible differences in the local fan cultures in Switzerland, research in this area should be continued. References: Drury, J., & Reicher, S. (2000). Collective action and psychological change: The emergence of new social identities. British Journal of Social Psychology, 39, 579-604. Hylander, I., & Guvå, G. (2010). Misunderstanding of out-group behaviour: Different interpretations of the same crowd events among police officers and demonstrators. Nordic Psychology, 62, 25-47.

Perceptions of critical situations involving football fans: the dynamics of conflict escalation or de-escalation

Fan violence in the context of football matches has drawn the attention of stakeholders and the media. This phenomenon has also attracted the scientific community’s attention, where research mostly focused on reasons for violence escalation. The Elaborated Social Identity Model (ESIM; Drury & Reicher, 2000) for example focuses on group-interactions and social identities, while the Aggravation Mitigation Model (AM model; Hylander & Guvå, 2010) concentrates on factors contributing to an escalation or a non-escalation of group-violence. However individual perceptions of the different persons involved in potential conflicts have not been sufficiently examined. Beside of that research in domestic football or involving ultrafans is scarce. Especially in Switzerland, there is a lack of research concerning the dynamics of the development or non-development of fan violence. This exploratory study included eight critical situations from the season 2012/2013 of the Swiss premier league to gather data about the perceptions of various persons involved (fans, police officers or security) and the dynamics contributing towards escalation or de-escalation. Fifty-nine narrative interviews were conducted and analysed with interpretative phenomenological analysis (Smith, Flowers, & Larkin, 2009). The individuals involved (fans, police and security personnel) showed groupspecific perceptions and a tendency to stereotype the opponent group. Provocative symbols (balaclavas or riot-gear uniforms) were important for the interpretation of the situation. No escalation occurred when successful communication and sufficient distance between the groups was established. Knowledge about the local fan culture is important, because it influences the perception of legitimacy on the side of the fans. This study improves the understanding of fan violence and is congruent with the ESIM and the AM model. It is suggested to deploy police dialogue teams without riot gear. Their task is to establish direct communication with the fans to facilitate a peaceful ending of a critical situation.