The behavior of stochastic agent-based models when the number of agents and the time variable tend to infinity

DOI10.1016/S0096-3003(03)00544-7zbMath1124.91354MaRDI QIDQ1880873

Minoru Tabata, Nobuoki Eshima

Publication date: 24 September 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

master equationnonlinear integro-partial differential equationinterregional migartion

Mathematics Subject Classification ID

Stochastic models in economics (91B70)

Cites Work

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• The nonlinear integro-partial differential equation describing the logistic growth of human population with migration
• The Cauchy problem for the system of equations describing migration motivated by regional economic disparity
• The mathematical theory of dilute gases
• A self-referential agent-based model that consists of a large number of agents moving stochastically in a discrete bounded domain.
• The behavior of solutions to the Cauchy problem for the master equation
• Concepts and models of a quantitative sociology. The dynamics of interacting populations
• An infinite continuous model which derives from a finite discrete model describing the time evolution of the density of firms.
• Blowing-up solutions to the Cauchy problem for the master equation
• The Cauchy problem for the nonlinear integro-partial differential equation in quantitative sociodynamics.
• Quantitative sociodynamics. Stochastic methods and models of social interaction processes. Transl. from the German by Richard Calek and Dirk Helbing
• Integral Representations of Invariant States on B* Algebras