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Level-Agnostic Representations of Interacting Agents

Author

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  • Fernando Tohmé

    (Departamento de Economía, Universidad Nacional del Sur, Instituto de Matemática de Bahía Blanca-CONICET, Bahía Blanca 8000, Argentina)

  • Andrés Fioriti

    (Departamento de Economía, Universidad Nacional del Sur, Instituto de Matemática de Bahía Blanca-CONICET, Bahía Blanca 8000, Argentina)

Abstract

The study of the interactions among intentional agents, with rationality being the main source of intentional behavior, requires mathematical tools capable of capturing systemic effects. Here, we choose an alternative toolbox based on Category Theory. We examine potential level-agnostic formalisms, presenting three categories: PR , G , and an encompassing one, I . The latter allows for representing dynamic rearrangements of the interactions among different agents. Systems represented in I capture the dynamic interactions among the interfaces of their sub-agents, changing the connections among them based on their internal states. We illustrate the expressive power of this formalism in four different instances, providing practitioners with a toolbox for representing cases of interest and facilitating their modular analysis.

Suggested Citation

  • Fernando Tohmé & Andrés Fioriti, 2024. "Level-Agnostic Representations of Interacting Agents," Mathematics, MDPI, vol. 12(17), pages 1-19, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2697-:d:1467207
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    References listed on IDEAS

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    1. Leonid Hurwicz, 1996. "Institutions As Families Of Game Forms," The Japanese Economic Review, Japanese Economic Association, vol. 47(2), pages 113-132, June.
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    Cited by:

    1. Fernando Tohmé, 2024. "A Level-Agnostic Representation of Economic Agents," Working Papers 344, Red Nacional de Investigadores en Economía (RedNIE).

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