AbstractThe main goal of this final thesis is the study of opinion dynamic formation process in a population divided in small groups of discussion (fixed or random size). Results of this study could be used in a near future to perform improved prediction of the opinion evolution (elections, reform proposition, etc) within a population to avoid tremendous surprises caused by a swing in public opinion, as it has already been seen in several countries. In a first time, we will analyze different opinion models established by S. Galam. We will see models where the population has the choice between two opinions. In that case the study is based on the discussion groups' size and on the opinion's evolution within these groups. After that, we will study the case where people can choose between three different opinions. In a second time, we will look for the presence of the chaos in an Ising model. We will study several graphics in function of some parameters variations to see when the chaos appears. We will also introduce the "smallworld" effect.
|Date of Award||2009|
|Supervisor||Timoteo Carletti (Supervisor), Anne Lemaitre (Jury) & Benoît Noyelles (Jury)|
Dynamique des opinions: comparaison de quatre modèles
Wain, K. (Author). 2009
Student thesis: Master types › Master in Mathematics