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Dynamic Arrangements in Economic Theory: Level-Agnostic Representations

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  • Tohmé Fernando

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

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  • Tohmé Fernando, 2023. "Dynamic Arrangements in Economic Theory: Level-Agnostic Representations," Asociación Argentina de Economía Política: Working Papers 4694, Asociación Argentina de Economía Política.
    • Handle: RePEc:aep:anales:4694
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    References listed on IDEAS

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    1. Georg Nöldeke & Larry Samuelson, 2018. "The Implementation Duality," Econometrica, Econometric Society, vol. 86(4), pages 1283-1324, July.
    2. Rozen, Victor & Zhitomirski, Grigori, 2006. "A category theory approach to derived preference relations in some decision making problems," Mathematical Social Sciences, Elsevier, vol. 51(3), pages 257-273, May.
    3. 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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    More about this item

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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