  Epistemic logic is known as logic that captures the knowledge and beliefs of
agents and has undergone various developments since Hintikka (1962). In this
paper, we propose a new logic called agent-knowledge logic by multiplying the
individual knowledge structure with the relationships among agents. This logic
is based on the Facebook logic proposed by Seligman et al. (2011) and the Logic
of Hide and Seek Game proposed by Li et al. (2021). We show that this logic can
embed the epistemic logic we know well. We also discuss various sentences and
inferences that this logic can express.
