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            <title xml:lang="en">An Example of a Multi-agent System described as a Discrete Dynamical System</title>
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              <p>Finding adequate descriptions of multi-agent systems is a central issue for modelling collective dynamics. This article proposes a mathematical description of multi-agent systems as discrete dynamical systems. The ground of our proposition is the inﬂuence-reaction method of Ferber and M¨uller. The key idea is that agents should never act directly on other components of the system (agents or environment) but release inﬂuences which are then combined to update the state of the system. We propose a method which decomposes the deﬁnition of multi-agent system into six parts: (1) the basic sets, (2) the perception of the agents, (3) the inﬂuences, (4) the updating of the agents' internal state, (5) the updating of the environment, (6) the updating of the position and observable states of the agents. We illustrate our method on the multi- turmite model, also known as the multiple Langton's ants model. We then brieﬂy discuss the relevance of this modelling method for the study of multi-agent systems.</p>
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