Patients receive Akt inhibitor MK2206 orally (PO) on days 1, 8, and 15; lapatinib ditosylate PO once daily (QD) on days 1-21 or on days 1-3, 8-10, and 15-17; and trastuzumab intravenously (IV) over 30-90 minutes on day 1. Courses repeat every 21 days in the absence of disease progression or unacceptable toxicity.