While violent territories might be show innovativeness, the cause is not the violence. The violence might however be responsible for the resilience of those population to survive and hence innovate! Sustainable innovation can only be tested in predictable environments.
I do not think that we can improve the potential to do good without the real capacity to do well. The social being of a community cannot be divorced from its well-being which has the elements of productivity, efficiency and effectiveness. We just need to rethink the whole misguided philosophy of capitalism in the sense that enterprises should remain created to solve problems of society in a sustainable=profitable way. Otherwise allocation of capital towards doing good, without doing well leads to a mis-allocation of resources. Nobody wants that!