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Docteur en sciences économiques et de gestion This thesis consists of three essays studding the influence of heterogeneity upon the economic dynamics. In the first model of R&D-based economic growth the agents have heterogeneous preferences over a growing continuum of consumption goods. In the second model a monopolist firm or an industry distributes investments in physical capital among a growing set of technologies the payoff of which is heterogeneous. In the third model of solving territorial disputes between countries the income from the land use of a country is not equally (heterogeneously) distributed among the citizens.