Ioannis Caragiannis, Christos Kaklamanis, Panagiotis Kanellopoulos, Maria Kyropoulou, Brendan Lucier, Renato Paes Leme, Éva Tardos. Bounding the inefficiency of outcomes in generalized second price auctions. J. Economic Theory, 156:343-388, 2015. [doi]
Abstract is missing.