A functional framework for agent-based models of exchange
Nicola Botta (),
Antoine Mandel,
Cezar Ionescu,
Mareen Hofmann,
Daniel Lincke (),
Sybille Schupp and
Carlo Jaeger
Additional contact information
Nicola Botta: PIK - Potsdam Institute for Climate Impact Research
Cezar Ionescu: PIK - Potsdam Institute for Climate Impact Research
Mareen Hofmann: PIK - Potsdam Institute for Climate Impact Research
Daniel Lincke: PIK - Potsdam Institute for Climate Impact Research
Sybille Schupp: Institute for Software Systems - TUHH - Hamburg University of Technology
Carlo Jaeger: PIK - Potsdam Institute for Climate Impact Research
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Abstract:
We propose a functional framework for studying agent-based dynamical models of exchange. The framework consists of a notation and of a number of elementary definitions. We argue that - in comparison to narrative descriptions - the framework has a number of advantages: (1) it allows one to express precisely the relationships between the classical notion of general equilibrium and agent-based models of exchange; (2) it supports computational descriptions of models of exchange which can be unambiguously implemented; (3) it assists the numerical investigation of such models by providing a specific set of elementary notions and computational primitives. These can be used to deduce model properties and to setup "crucial" numerical experiments for validating model implementations. In a companion paper, we apply the framework to specify and study a model of exchange in which multiple equilibrium prices coexist and prices evolve according to a simple trading scheme and to a generic genetic rule.
Keywords: Barter economies; General equilibrium; Agent-based methods; Functional specifications; Price dynamics (search for similar items in EconPapers)
Date: 2011-12-15
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Published in Applied Mathematics and Computation, 2011, 218 (8), pp.4025-4040. ⟨10.1016/j.amc.2011.08.051⟩
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Working Paper: A functional framework for agent-based models of exchange (2011)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-00639725
DOI: 10.1016/j.amc.2011.08.051
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