re: Bert's Razorbacks Win the West and here's why:

OP has a problem with simple math. In a four-way tie, there is no way Arkansas can be 2-1 and the other three teams are 1-2. That adds up to 5 wins and 7 losses among the four teams.

Win-loss records among a group are a zero-sum proposition. What you meant to say is that Ole Miss also would be 2-1 in your scenario (wins vs. Bama, LSU; loss to Arkansas). In that scenario, Arkansas would win, though. Two 2-1 teams become their own tiebreaker and Arky beat Ole Miss.