%0 Book Section %T A time-varying model to simulate a collective decisional problem. %+ Laboratoire de Génie Informatique et Ingénierie de Production (LGI2P) %+ Equipe de Recherche en Ingénierie des Connaissances (ERIC) %A Imoussaten, Abdelhak %A Montmain, Jacky %A Rico, Agnès %A Rico, Fabien %B Communications in Computer and Information Science %I Springer %P 56-71 %8 2013 %D 2013 %Z Computer Science [cs]/Databases [cs.DB]Book sections %X 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 %G English %L hal-00808600 %U https://hal.science/hal-00808600 %~ INSTITUT-TELECOM %~ UNIV-LYON2 %~ EM-ALES %~ ERIC %~ UDL %~ INSTITUTS-TELECOM