Endogenous evolution of heterogeneous consumers preferences: Multistability and coexistence between groups

•We propose an evolutive model in an exchange economy setting.•Agents are heterogeneous in the structure of the preferences.•The share updating mechanism is non-monotone in the calorie intake.•We find multistability phenomena involving equilibria with heterogeneous agents.

We propose an exchange economy evolutionary model with agents heterogeneous in the structure of preferences. Assuming that the share updating mechanism is non-monotone in the calorie intake, we find multistability phenomena involving equilibria characterized by the coexistence of heterogeneous agents.