We address the problem of groundwater exploitation by heterogeneous farmers for irrigation purposes. We build a two-player differential game in which the players show different characteristics related to their agricultural activity. Subgame perfect noncooperative and cooperative solutions are studied. The model is applied to the case study of the Western La Mancha aquifer. Numerical results show that the more heterogeneous the farmers are, the less inefficient is the allocation of water under non-cooperation with respect to cooperation. Moreover, cooperation is beneficial for the environment, but not always for both farmers when the water demand differs highly among the users.
(with Valeriia Chukaeva and Julia de Frutos Cachorro).