Abstract
The kinetic theory approach is successfully used to model complex phenomena related to social systems, allowing to predict the dynamics and emergent behavior of large populations of agents. In particular, kinetic theory for active particles (KTAP) models are usually analyzed by numerically solving the underlying Boltzmann-type differential equations through ad-hoc implementations. In this paper, we present KAOS: a kinetic theory of active particles modeling and analysis software tool. To the best of our knowledge, KAOS represents the first attempt to design and implement a comprehensive tool that assists the user in all the steps of the modeling process in the framework of the kinetic theories, from the model definition to the representation of transient solutions. To show the KAOS features, we present a new model capturing the competition/cooperation dynamics of a socio-economic system with welfare dynamics, in different socio-political conditions
Highlights
Long since mathematical methods traditionally applied in physics have been applied in interdisciplinary fields such as biology, economy or social sciences
Frameworks as Sociodynamics [7] and Sociophysics [8] arise from a dynamical systems approach to the modeling of phenomena in social sciences
The Kinetic Theory of Active Particles (KTAP) adopts the general approach of the classical kinetic theory, introducing interactions modeled using methodologies borrowed from the evolutive theory of stochastic games
Summary
Long since mathematical methods traditionally applied in physics have been applied in interdisciplinary fields such as biology, economy or social sciences. The micro-scale approach to complex systems is that of agent-based models, where rule-based agents dynamically interact. The approach of Complex Adaptative Systems combines agent-based and complex network based models [3]. The kinetic theory mathematical framework has been applied to many different interdisciplinary contexts; for a review of the literature and many interesting examples, see [9]. We present a new model of wealth redistribution testing the emergence of patterns in the wealth micro-state of individuals and we introduce the KAOS software tool, a kinetic theory of active particles modeling and analysis framework. We show how KAOS can help in analyzing such complex models It has been designed with the purpose of assisting domain experts in studying emergent behaviors in a simple way without knowing the mathematical details of the underlying kinetic theory. We show a set of numerical results obtained by changing the model parameters in order to represent different societies coupled to political actions
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