The game of Charlie and Rudolf (5)
I believe the answer is:
chess
'the game' is the definition.
(chess is a kind of game)
'charlie and rudolf' is the wordplay.
'charlie' becomes 'C' (phonetic alphabet: alpha, bravo, charlie etc.).
'and' means one lot of letters go next to another.
'rudolf' becomes 'hess' (I am not sure about this - if you are sure you should believe this answer much more).
'c'+'hess'='CHESS'
'of' is the link.
Can you help me to learn more?
(Other definitions for chess that I've seen before include "board meeting" , "A game of skill" , "show" , "Sixteen-men-a-side game" , "Pieces moved in this" .)