How can I select multiple MAX() values withphp/mysql?

Here is my db structure (simplified, of course):


userid     games     wins   points
123          17             3          58
478           15           2           45
368           14           2           71
219           13           1           62

What I want to return is the MAX value for games, wins, and points along with the playerid who earned it.

Sample required output:

mostwins     mostwinsuserid     mostpoints     mostpointsuserid       mostgames     mostgamesuserid
3                         123                          71                    368                           17                      123

Any help is appreciated.