Socio-adaptive systems are systems in which human and computational elements interact as peers. The behavior of the system arises from the properties of both types of elements and the nature of their collective reaction to changes in their environment, the mission they support, and the availability of resources they use. The Software Engineering Institute (SEI) held the Socio-Adaptive Systems Challenge Problem Workshop in Pittsburgh, PA, on April 12-13, 2012. The workshop's goal was to identify the challenges associated with resource allocation for warfighters operating at the tactical edge, where networks are often unreliable, and bandwidth limited and inconsistent. This report presents a summary of the workshop findings.