In social learning, a network of agents assigns probability scores (beliefs) to hypotheses of interest for generating streaming data.The traditional approach may fail to adapt to dynamic drifts in the data, leading to incorrect decision making.The Doubly Adaptive Social Learning (A2SL) strategy is proposed to overcome this limitation by incorporating two adaptation stages.The A2SL strategy ensures consistent learning by tracking and adapting to changes in the decision model and the true hypothesis over time.