In my humble opinion, summarizing/averaging AIC/BIC makes some sense (it is quite scary to me that I'm disagreeing on this with @Frank Harrell :-). At least, I've seen this being done and written about. Please see one of my earlier answers here on Cross Validated with more information and relevant references: http://stats.stackexchange.com/a/128922/31372https://stats.stackexchange.com/a/128922/31372.