how do i select this list

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The query below gives me a list of usernames with the highest point score at 
the top. There is also a secondary points list which i need to use to rank 
players if there POINTS are the same.

ie:
username      points     margin
    paul            26            24
    mark           23            11
    john            23            10

I want to rank 'john above 'mark' as his margin points are lower. I can't 
rank by margin alone and i need ranking by points (Desc) first then by 
lowest margin.
how can i change this statement below to achieve this.

Thanks

$query = mysql_query("SELECT * FROM leaderboard WHERE comp_id = $comp_id 
ORDER by points DESC "); 

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