My Gods, what a sea of possibilities! Judging from other Nobel Prize winners in the field, let's see what we can come up with?
Ah, his father Frederick doesn't die of throat cancer, and dies first in 1914. Wilhelm is extraordinarily popular with the people and despite the fact that the nomination deadline is merely days after his ascension to the throne, Wilhelm II handily receives the Nobel Peace Prize.
or...
World War I actually starts several years earlier, and by 1914 it has been going on for quite some time. Wilhelm II and Clemenceau receives the Nobel Peace Prize for bringing peace to Europe. Clemenceau refuses to come to Oslo, citing the fact that people are still in battle. The war actually ends first two years later.
or, my personal favourite...
And so, in the year 1914, his Imperial Majesty, Wilhelm II of Germany, using the new medium of motion pictures, spread to the world the message of global warming... 