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arXiv · 1506.05699

Stochastic Evolving Differential Games Toward a Systems Theory of Behavioral Social Dynamics

Giulia Ajmone Marsan·Nicola Bellomo·Livio Gibelli
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Abstract

This paper proposes a systems approach to social sciences based on mathematical framework derived from a generalization of the mathematical kinetic theory and on theoretical tools of game theory. Social systems are modeled as a living evolutionary ensemble composed by many individuals, who express specific strategies, cooperate, compete and might aggregate into groups which pursue a common interest. A critical analysis on the complexity features of social system is developed and a differential structure is derived to provide a general framework toward modeling.

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Giulia Ajmone Marsan, Nicola Bellomo, Livio Gibelli. 2015-06-18. Stochastic Evolving Differential Games Toward a Systems Theory of Behavioral Social Dynamics. https://arxiv.org/abs/1506.05699

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