Sense of agency refers to the subjective perception of initiating and controlling one's actions and their consequences within both individual and social contexts. It encompasses not only self-agency, where individuals feel in control of their actions from a first-person perspective, but also other-agency, where individuals comprehend the control exerted by others over their actions through mentalizing. This study explores the characteristics of implicit self-agency and other-agency in social interaction contexts using an interval estimation paradigm. The results indicate that voluntary actions lead to a temporal binding effect in individual contexts. Moreover, the reported intervals generated by the self in individual contexts are shorter than those in human-human and human-robot interaction contexts, suggesting a reduction in self-agency within social interaction contexts. Conversely, temporal intervals in human-human interactions are reported to be shorter than those in individual and human-robot interactions, indicating that other-agency remains unaffected. These findings highlight the distinct effects of social interaction contexts on self-agency and other-agency, offering novel empirical insights into human interaction behavior.