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Instability and bifurcation in a trend depending price formation model

Gonzalez, M.; Gualdani, M.; Sola-morales, J.
Tipus d'activitat
Document cientificotècnic
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A well-known model due to J.-M. Lasry and P.L. Lions that presents the evolution of prices ina market as the evolution of a free boundary in a diffusion equation is suggested to be modifed in order to show instabilities for some values of the parameters. This loss of stability is associated to the appearance of new types of solutions, namely periodic solutions, due to a Hopf bifurcation and representing price oscillations, and traveling waves, that represent either in ationary or deationary beha...
Paraules clau
Mathematical modeling, bifurcation, free boundary, price formation, reaction-difusion, stability, traveling waves.
Grup de recerca
EDP - Equacions en Derivades Parcials i Aplicacions