In the pdf document for the pseudocodes for 4th edition, in the description for Minimax and Alpha-Beta, the variable player is initialized but not used. I think this is a bug, unless the intention is that this variable be treated as global to be used later within Max-Value and Min-Value, but then, the same could have been done with the variables game and state, that are used within the sub-functions but are not modified.
About the format, the variable player, in its initialization, is not in italic like the rest of the variables. This could be also a bug, unless the intention is that the different format was to indicate the variable is global, but then it should not be in italic within the sub-functions.
Also, in the function Minimax-Search the description of the return value is in italics, and it seems that this format is reserved for variables (in the Alpha-Beta-Search, the description of the return value "an action" is not in italics).