Modeling Engagement and Disengagement with a Social Network Using the Participation Continuum Jonathan Bishop Crocels Research CIC Crocels Community Media Group Swansea, Wales https://orcid.org/0000-0002-9919-7602 Ashu M. G. Solo Maverick Trailblazers Inc. Wilmington, Delaware, U.S.A. amgsolo@mavericktrailblazers.com Abstract—The online landscape is an evolving sphere where individual participation in social networks undergoes a complex transitional flow. This research paper introduces a novel framework employing the concepts of participation continuum and transitional flow of persuasion (TFP) to map the user's journey through various stages of interaction in online communities. Through this lens, this research paper elucidates how external factors such as trolling or brand affinity can catalyse shifts in a user's beliefs, attitudes, and engagement levels, thereby propelling him/her through various optimum motive situations from equilibrium to disruption and ultimately to a new state of equilibrium. An algorithm is subsequently presented to quantitatively assess the effectiveness of seduction mechanisms employed by social networks to induce brand identification and user engagement. The research study culminates in a detailed analysis of how this algorithm can strategically guide users from a state of disengagement to committed participation. Through its theoretical framework and algorithmic model, this research paper advances our understanding of persuasive techniques in social networks and provides actionable insights for enhancing user participation and brand loyalty. Keywords—participation continuum, ecological cognition, seductive hypermedia, captology, human-computer interaction, computational psychology, algorithmic psychology, mathematical psychology I. INTRODUCTION This research paper presents the latest innovations based on the ecological cognition framework (ECF) [1-4]. This theory is used by the authors to show how social networks can better understand the nature of their users and persuade them to participate in their online communities to a greater extent so that they can feel a sense of enhancement in their lives. A. Persuasive Social Networks and Hypermedia Seduction The concept of hypermedia seduction relates metaphorically to the orchestration of specific actions or responses (and particular elements) that facilitate the onset of (or influence) desired changes within a user’s behaviour. In the case of this research paper, this definition will be used to explain the steps that developers can take to increase the association between an actor and a social network and lead to the actor engaging with the social network. However, there are some limitations with the original model of hypermedia seduction [5-7] so instead the participation continuum [8] based on the ecological cognition framework [4] will be used. It has been argued that the first stage of seduction is inducement, which occurs instantaneously (or momentarily) prior to interaction where its role is to evoke attraction or to distract the user [5-7]. That which is referred to as an inducement is perhaps the stimulus. If an actor is using a social network and is then presented with a hyperlink, it may lead to an affordance, which leads the actor to click on it. A strategically placed hyperlink could be considered an inducement if it is placed there to change the plans of the user. Such hyperlinks are referred to as persuasive mediating artefacts [9]. Mbakwe and Cunliffe argue that the next two stages of seduction are negotiation and suggestion. In these stages, they suggest that an actor is subject to an experience and then is convinced that he/she has achieved his/her goal. They also suggest that at this point the actor can cease using the interface if he/she feels his/her goals have not been met. Perhaps what is being attempted to be described is the process of an actor achieving consonance through developing beliefs about the system that are compatible with his/her cognitions. If an actor experiences a desire after perceiving a mediating artefact, thus developing a plan to use it, he/she will use it if he/she achieves consonance of his/her cognitions. That is, he/she will use the artefact if the plan to use it is consonant with his/her existing plans as well as his/her goals, values, beliefs, and interests. If the actor uses the mediating artefact in the way suggested through its affordances, he/she will have been persuaded, which is what has been indicated is the final stage of seduction [5-7]. Persuasion would have occurred as the actor will have developed specific beliefs about the system’s ability to meet his/her goals, as opposed to his/her so-called responses being reinforced, which has been indicated is necessary for the actor to be seduced by the system. This is clearly not the case. The actor will continue using the system and therefore be seduced by it as long as he/she achieves consonance when he/she experiences impetuses while using the system and will not require so-called responses to be reinforced. The more plans created by the impetuses generated by the system, the more the actors will use the system provided that such plans are consonant with their cognitions, particularly their goals, and therefore result in deference or intemperance. If the system meets some of the goals of the user, he/she may develop beliefs that it does, which will mean he/she is more likely to experience intemperance. Social networks can be considered to be seductive if they create impetuses that lead to desires that result in plans that are consonant with an actor’s cognitions and therefore result in the actors using the system for a longer period [4]. A system could perhaps be considered highly seductive if it results in actors experiencing deference as opposed to intemperance through to ignorance. II. THE PARTICIPATION CONTINUUM The participation continuum provides an understanding of how users can increase engagement with online communities and transform their negative beliefs about participating into positive thoughts and increased interaction [8]. Crucial to understanding how users change their opinions from not wanting to participate in a social network, for example, to trusting it enough to engage is the concept of flow. When an actor is engaged in a state of flow, his/her concentration is so intense that he/she forgets about his/her fears and becomes 2023 Tenth International Conference on Social Networks Analysis, Management and Security (SNAMS) | 979-8-3503-1890-6/23/$31.00 ©2023 IEEE | DOI: 10.1109/SNAMS60348.2023.10375394