Differential equations and agent-based models are different formalisms which can be applied to describe the evolution of complex systems. In this paper, it is shown how differential equations can describe interactions among agents: it is pointed out that their capabilities are broader than is often assumed, and it is argued that such an approach should be preferred whenever applicable. Also discussed are the circumstances in which it is necessary to resort to agent-based models, and a rigorous approach is advocated in these cases. In particular, the relationship between the model and a theory of the processes under consideration provides both stimuli and constraints for the model. This relationship is discussed both in general terms and with reference to a specific example, which concerns a model of innovation processes.

Agents, equations and all that: on the role of agents in understanding complex systems / Serra, R; Villani, Marco. - STAMPA. - 4155:(2006), pp. 159-175. [10.1007/11829263_9]

Agents, equations and all that: on the role of agents in understanding complex systems

VILLANI, Marco
2006

Abstract

Differential equations and agent-based models are different formalisms which can be applied to describe the evolution of complex systems. In this paper, it is shown how differential equations can describe interactions among agents: it is pointed out that their capabilities are broader than is often assumed, and it is argued that such an approach should be preferred whenever applicable. Also discussed are the circumstances in which it is necessary to resort to agent-based models, and a rigorous approach is advocated in these cases. In particular, the relationship between the model and a theory of the processes under consideration provides both stimuli and constraints for the model. This relationship is discussed both in general terms and with reference to a specific example, which concerns a model of innovation processes.
2006
REASONING, ACTION AND INTERACTION IN AI THEORIES AND SYSTEMS
9783540379010
SPRINGER-VERLAG BERLIN
GERMANIA
Agents, equations and all that: on the role of agents in understanding complex systems / Serra, R; Villani, Marco. - STAMPA. - 4155:(2006), pp. 159-175. [10.1007/11829263_9]
Serra, R; Villani, Marco
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/587055
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