Professor Edwards teaches political and social theory, American politics, public policy, and international relations. His research interests include the philosophy of social science, noetic sciences, theories of administration, the theory and practice of public policy, international relations theory, American foreign policy, and U.S.- Russian relations. He has been a research associate at the Washington Center of Foreign Policy Research, a visiting professor at New York University, holder of Rockefeller and NATO research fellowships, and a consultant to the Danforth Foundation, the Industrial Management Center, and the Institute for Defense Analyses.
His books include Creating a New World Politics, International Political Analysis, Arms Control in International Politics, The American Political Experience, and Practicing American Politics. He has written for The Nation, The Washington Post, La Quinzaine Litteraire, and other periodicals.