find highest number only if two names matched in columns?

Hi all,

I'm trying to set up a formula in Excel that looks at another worksheet, and shows the highest number in a column, ONLY IF a specific name is in one column AND a different specific name is in another column.

The data looks like this:

Column C on the other worksheet is one list of names (the "winners").
Column D on the other worksheet is another list of names (the "losers").
Column E on the other worksheet is the winner's score.

So, I'm trying to find the highest winning score in matches between two specific players, where one specific player was the winner. The other worksheet is named "RESULTS".

On the worksheet I'm working in, named "STATS", the names of the players I'm trying to check against are in B23 and B25. I want to find the highest winning score where B23 was the winner and B25 was the loser. I've got this formula for the cell:

{=IF(AND(RESULTS!C:C=$B$25,RESULTS!D:D=$B$23),MAX(RESULTS!E:E))}

But all that shows in my cell is "FALSE".

Can anyone shed some light on what I might be doing wrong?

Thanks!