A Level-Agnostic Representation of Economic Agents

Fernando Tohmé

No 344, Working Papers from Red Nacional de Investigadores en Economía (RedNIE)

Abstract: The study of the interactions among economic agents, being rationality the main source 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 of the interactions among different agents.Systems represented in I, capture the dynamic interaction among the interfaces of 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.

Keywords: Economic Agent; Interactions; Category Theory; Game Theory; Polynomial Functors (search for similar items in EconPapers)
Pages: 29 pages
Date: 2024-11
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Persistent link: https://EconPapers.repec.org/RePEc:aoz:wpaper:344

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