Understanding cooperation in social dilemmas requires models that capture the complexity of real-world interactions. While network frameworks have provided valuable insights to model the evolution of cooperation, they are unable to encode group interactions properly.

Here, we introduce a general higher-order networks framework for multi-player games on structured populations.

Our model considers multi-dimensional strategies, based on the observation that social behaviours are affected by the size of the group interaction.

We investigate the dynamical and structural coupling between different orders of interactions, revealing the crucial role of nested multi-level interactions and showing how such features can enhance cooperation beyond the limit of traditional models with uni-dimensional strategies.

Our work identifies the key drivers promoting cooperative behaviour commonly observed in real-world group social dilemmas.

O. Sadekar, A. Civilini, V. Latora, F. Battiston, Drivers of cooperation in social dilemmas on higher‐order networks, Journal of The Royal Society Interface 22(227) (2025), 20250134.