Battle of Jutland
During the First World War, the Battle of Jutland, fought between the British and German navies, was the largest naval engagement of the war, and stayed the largest battle between ships until the 1944 Battle of Leyte Gulf. Ultimately, it was inconclusive. The Germans destroyed more British ships, and considered it a tactical victory, while the British, because the German High Seas Fleet never again operated as a unit, regarded it as a strategic victory.
In many respects, both sides thought they were deceiving and trapping the other, although it is fair to say that the fog of war was very heavy for Germany and Britain. Various sub-units were not aggressive enough when the tactical situation warranted it, while others were too aggressive for their capabilities and took heavy casualties.