Who goes in the event of a 3 way tie between LSU, ARK, and AUB?

Let's say Auburn drops one to either Florida, Georgia or Alabama. Arkansas drops one to Tenn or South Carolina and then we beat them.

That would mean everyone would have 2 losses in SEC play and each of the 3 teams having lost to each other.

What would determine the tie breaker?

 

http://www.secsports.com/index.php?s=&change_well_id=2&url_article_id=46