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A Dynamical Model for Simulating a Debate Outcome

A group of agents is faced with a collective decisional problem. The corresponding debate is viewed as a dynamic process. An initial theoretical model based on a multicriteria decision framework was proposed in [7] yet without semantic justifications and any explicit dynamic representation. A second descriptive model has been proposed in [6], according to which social influences and argumentation strategy govern the dynamics of the debate. This paper seeks to justify the equations introduced in [7], using the semantic concepts discussed in [6], in order to provide a model for a debate held within the framework of control theory that explicitly lays out the dynamic aspects and moreover offers additional perspectives for purposes of controlling the debate.