4 players enter a race. The judge is not at the finish line to judge the ending. When the judge shows up to award the prize, these are the statements by 4 players
Alpha - I won the race
Beta - I came in last
Gamma - I did not finish last
Theta - I was neither first nor last
The judge goes to Alpha to hand the prize, when a member from the audience who has been watching the race all along shouts - "Exactly one of these 4 is lying". To whom should judge award the prize?