Dynamic Arrangements in Economic Theory: Level-Agnostic Representations

Abstract

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, $\mathcal{PR}-\mathcal{G}$. The latter allows for representing dynamic rearrangements of the interactions among different agents.