Kaizoji et al. (2015) formulated an artificial market model which is able to reproduce financial bubbles with faster-than-exponential growth. Given the importance of bubbles and crashes in the financial market, research in the direction of the understanding the mechanisms underlying such phenomena is more and more relevant. The present thesis moves in this direction proposing an enlargement of the original market model to the multi-asset framework. After a brief introduction of the original market model formulation, we aim at the comprehension of the reasons of the build-up of bubbles in the price trend and how they are related to the interplay between fundamentalists and noise traders.