We present an Agent-based Model to study cus- tomers’ engagement with brands from a Service-Dominant Logic perspective. Customer Engagement has gained attention recently in the study of customer loyalty as a process that enables to understand and measure the impact of the depths of customers emotional responses to consumption situations on their intention to retain with a particular brand. However, there is no adequate research that deeply investigate the process of engagement, espe- cially in dynamic, competitive and complex market environments. We address this research gap by creating an agent-based artificial market model. In doing so, we base our model on Service- Dominant Logic, which offers a novel lens to look at markets and their interactions and on the customer engagement process model of Bowden to implement customers engagement with a brand. This paper basically presents a logical discussion on the formulation of the model and some initial outcomes.