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Dynamic Arrangements in Economic Theory: Level-Agnostic Representations

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  • Fernando Tohm'e

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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  • Fernando Tohm'e, 2023. "Dynamic Arrangements in Economic Theory: Level-Agnostic Representations," Papers 2309.06383, arXiv.org.
    • Handle: RePEc:arx:papers:2309.06383
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    1. Georg Nöldeke & Larry Samuelson, 2018. "The Implementation Duality," Econometrica, Econometric Society, vol. 86(4), pages 1283-1324, July.
    2. Leonid Hurwicz, 1996. "Institutions As Families Of Game Forms," The Japanese Economic Review, Japanese Economic Association, vol. 47(2), pages 113-132, June.
    3. 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.
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