The most common and most likely answer to this crossword clue is the 4 plus 2 plus 3 plus 6 letter word KING OF THE CASTLE
I've seen this crossword clue in Financial Times
K
I
N
G
O
F
T
H
E
C
A
S
T
L
E
More clues leading to the result KING OF THE CASTLE
Buddy explains!
The straight part
We know that "game" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case game = king of the castle.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.