A Level-Agnostic Representation of Economic Agents

Abstract

The study of the interactions among economic agents, being rationality the mainsource of intentional behavior, requires mathematical tools able to capture systemiceffects. Here we choose an alternative toolbox based on Category Theory. We examine potential level-agnostic formalisms, presenting three categories, PR, G and anencompassing one, I. The latter allows for representing dynamic rearrangements ofthe interactions among different agents.Systems represented in I, capture the dynamic interaction among the interfacesof their sub-agents, changing the connections among them based on their internalstates. We illustrate the expressive power of this formalism in four different instances, providing practitioners with a toolbox for the representation of cases ofinterest, facilitating their modular analysis.