  If Economics is understood as the study of the interactions among intentional
agents, being rationality the main source of intentional behavior, the
mathematical tools that it requires must be extended to capture systemic
effects. Here we choose an alternative toolbox based on Category Theory. We
examine potential {\em level-agnostic} formalisms, presenting three categories,
$\mathcal{PR}$, $\mathcal{G}$ and an encompassing one, $\mathcal{PR-G}$. The
latter allows for representing dynamic rearrangements of the interactions among
different agents.
