Are there design patterns on modelling a structure containing Teams, Roles and Skills?

class Team
    container[Member] members

class Member
    container[Role] roles
    container[Skill] skills

class Problem
{
  find_problem_solvers()
  {
    var problem_solvers = null
    for each (skill in skills_required)
    {
      var possible_problem_solvers = skill.find_problem_solvers()
      if(problem_solvers == null)
      {
        problem_solvers = new list().add_range(possible_problem_solvers)
      }
      else
      {
        for each problem_solver in problem_solvers:
        {
          if(problem_solver not in possible_problem_solvers)
            problem_solvers.remove(problem_solver)
        }
      }
      //No point continuing if we eliminated everyone!
      if(problem_solvers is empty) break;
     }
     return problem_solvers
   }
 }