Print Email Facebook Twitter Generalized Polya urn model with tness and non-linear reinforcement Title Generalized Polya urn model with tness and non-linear reinforcement Author Jacobs, Floor (TU Delft Electrical Engineering, Mathematics and Computer Science) Contributor Grosskinsky, S.W. (mentor) Degree granting institution Delft University of Technology Date 2021-06-30 Abstract In this report a generalized Polya urn model is considered where there is nonlinear reinforcement and each component has a tness. The transition probability is proportional to feedback functions of the model and thus depends on the component that is considered. Models with these feedback functions can reach a monopoly or dierent stable state after a nite amount of time. The kind of stable state that is reached depends on the value of the non-linear reinforcement and the exact form of the stable state depends on the tness and initial conditions of the components. In this report the behavior of the model is illustrated using ow elds in the cases of k = 2 and k = 3. It is also proven when monopoly is reached for a particular feedback function and that the simplex for this function is partitioned into attractive domains for the corner points, which are convex polytopes. cases of k = 2 and k = 3. It is also proven when monopoly is reached for aparticular feedback function and that the simplex for this function is partitionedinto attractive domains for the corner points, which are convex polytopes. To reference this document use: http://resolver.tudelft.nl/uuid:b0ac29a9-37cf-4c04-b0b5-0e5919aa49b0 Part of collection Student theses Document type bachelor thesis Rights © 2021 Floor Jacobs Files PDF FloorJacobs_finalversionBEP.pdf 836.36 KB Close viewer /islandora/object/uuid:b0ac29a9-37cf-4c04-b0b5-0e5919aa49b0/datastream/OBJ/view