Two tales of complex system analysis: MaxEnt and agent-based modeling
Autor: | Adrián Carro, Jangho Yang |
---|---|
Rok vydání: | 2020 |
Předmět: |
Mathematical optimization
Computer science Principle of maximum entropy 05 social sciences Complex system General Physics and Astronomy 01 natural sciences Complement (complexity) Range (mathematics) Order (exchange) Simple (abstract algebra) Complementarity (molecular biology) 0502 economics and business 0103 physical sciences General Materials Science Economic model 050207 economics Physical and Theoretical Chemistry 010306 general physics |
Zdroj: | The European Physical Journal Special Topics. 229:1623-1643 |
ISSN: | 1951-6401 1951-6355 |
DOI: | 10.1140/epjst/e2020-900137-x |
Popis: | Over the recent four decades, agent-based modeling and maximum entropy modeling have provided some of the most notable contributions applying concepts from complexity science to a broad range of problems in economics. In this paper, we argue that these two seemingly unrelated approaches can actually complement each other, providing a powerful conceptual/empirical tool for the analysis of complex economic problems. The maximum entropy approach is particularly well suited for an analytically rigorous study of the qualitative properties of systems in quasi-equilibrium. Agent-based modeling, unconstrained by either equilibrium or analytical tractability considerations, can provide a richer picture of the system under study by allowing for a wider choice of behavioral assumptions. In order to demonstrate the complementarity of these approaches, we use here two simple economic models based on maximum entropy principles – a quantal response social interaction model and a market feedback model –, for which we develop agent-based equivalent models. On the one hand, this allows us to highlight the potential of maximum entropy models for guiding the development of well-grounded, first-approximation agent-based models. On the other hand, we are also able to demonstrate the capabilities of agent-based models for tracking irreversible and out-of-equilibrium dynamics as well as for exploring the consequences of agent heterogeneity, thus fundamentally improving on the original maximum entropy model and potentially guiding its further extension. |
Databáze: | OpenAIRE |
Externí odkaz: |