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Learning involves the collection, storage and retrieval of information, and depends on both the random search strategies employed and the memory capacities of the individual. For animals living in social groups, spatial learning can be further enhanced by information transfer among group members. However, how individual behavior affects the emergence of collective states of learning is still poorly understood. Here, with the help of a spatially explicit agent-based model where individuals transfer information to their peers, we analyze the effects on the use of resources of varying memory capacities in combination with different exploration strategies, such as ordinary random walks and L\u00e9vy flights. We find that individual L\u00e9vy displacements associated with a slow memory decay lead to a very rapid collective response, a high group cohesion and to an optimal exploitation of the best resource patches in static but complex environments, even when the interaction rate among individuals is low.<\/jats:p>","DOI":"10.1371\/journal.pcbi.1011528","type":"journal-article","created":{"date-parts":[[2023,10,16]],"date-time":"2023-10-16T13:29:47Z","timestamp":1697462987000},"page":"e1011528","update-policy":"https:\/\/doi.org\/10.1371\/journal.pcbi.corrections_policy","source":"Crossref","is-referenced-by-count":8,"title":["L\u00e9vy movements and a slowly decaying memory allow efficient collective learning in groups of interacting 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