Ties are refunded. It's called a push.
You are hardly alone. A big segment of the public assumes that ties lose. It's a combination of cynicism and dealing with local bookies who use ripoff parlay cards with ties lose. When that group travels to Las Vegas they make assumptions and don't ask enough questions. I've found many thousands of dollars in winning tickets that were mistakenly thrown away. No stooping required. You notice them on the counter beside you. Often they've been there for hours. Invariably the key variable is the same: It's a parlay with all winners but one push. That simply reduces the parlay by one game but the unsophisticated bettor believed it ruined his ticket.
I don't like to tell anybody what to do in regard to betting. I can only offer themes and systems. In this case, the direction on the Dolphins is down so I would wait. Futures odds are generally not a good investment unless the team secures home field. Otherwise you can receive a superior price simply by waiting for the playoff games and rolling everything over game to game. For example, any Ravens bettor who held a futures ticket, of any available price, was swamped in 2012 by someone who made a hand carry parlay once they reached the playoffs.
