Unlike the classical kinetic theory of rarefied gases, where microscopic interactions among gas molecules are described as binary collisions, the modelling of socio-economic phenomena in a multi-agent system naturally requires to consider, in various situations, multiple interactions among the individuals. In this paper, we collect and discuss some examples related to economic and gambling activities. In particular, we focus on a linearisation strategy of the multiple interactions, which greatly simplifies the kinetic description of such systems while maintaining all their essential aggregate features, including the equilibrium distributions.

中文翻译：

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社会经济系统中多种相互作用的动力学模型

与稀有气体的经典动力学理论不同，在稀有气体中，气体分子之间的微观相互作用被描述为二元碰撞，在多主体系统中对社会经济现象进行建模自然需要在各种情况下考虑个体之间的多种相互作用。在本文中，我们收集并讨论了一些与经济和赌博活动有关的示例。尤其是，我们专注于多重相互作用的线性化策略，该策略极大地简化了此类系统的动力学描述，同时保留了其所有必要的总体特征（包括平衡分布）。