Does the principle of double jeopardy bar further prosecution for an offense after an acquittal?

The principle of double jeopardy bars further prosecution for an offense after an acquittal, "whether that acquittal is express or implied by a conviction on a lesser included offense when the jury was given a full opportunity to return a verdict on the greater charge." Price v. Georgia, 398 U.S. 323, 329 (1970). A jury's failure to reach a verdict on a more serious charge, at the same time it convicts on a lesser included offense, constitutes an "implicit acquittal" on the more serious charge. Green v. United States, 355 U.S. 184, 190 (1957).