Universitat Politècnica de Catalunya
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
González Nogueras, María del Mar
Solà-Morales Rubió, Joan de
2014-07
In this thesis a particular example of a price formation model was studied. The model consist of a (large) group of buyers and a (large) group of vendors trading a particular good at a certain price. The model is given by a nonlinear, parabolic free boundary evolution equation that describes the dynamical behaviour of buyers and vendors which in turn defines the price. The original model introduced by J.M Lasry and P. Lions always stabilizes so a modification of the original model was presented and studied.
Master thesis
English
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials; Differential equations, Parabolic; Mathematical Modelling; Free Boundary; Price Formation; Stability; Bifurcation; Travelling Wave; Equacions diferencials parabòliques; Classificació AMS::35 Partial differential equations::35K Parabolic equations and systems
Universitat Politècnica de Catalunya
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Open Access
Treballs acadèmics [82541]
