Step 1 :This question is about the relationship between two variables: rank and player name.
Step 2 :In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.
Step 3 :If rank is a function of player name, it means that each player name corresponds to exactly one rank. However, multiple player names can have the same rank.
Step 4 :If player name is a function of rank, it means that each rank corresponds to exactly one player name. However, multiple ranks can have the same player name.
Step 5 :In a typical ranking system, it's likely that rank is a function of player name (each player has a unique rank), but player name is not a function of rank (multiple players can share the same rank).
Step 6 :Final Answer: \(\boxed{\text{Rank is a function of player name but player name is NOT a function of rank.}}\)