Awesome situation arose last night in a three player game (actual events simplified for illustrative purposes).
Wizard with low strength and awesome Craft is at the Crown and the Warrior with awesome strength and terrible Craft is at the Valley of Fire holding a Golden Statue.
Wizard has 2 life, Warrior has 1.
Warrior gets to the crown space, combats the Wizard and takes life (no roll needed, he's 6 points higher in strength). Now each has one Life.
Wizard's turn, attacks the Warrior with Psychic Combat (no roll needed, he's 6 points higher in Craft). Wins, is FORCED to take the Golden Statue.
...
Warrior's turn, he HAS to attack (on crown space), he HAS to win (+6 strength), he HAS to take the Statue back (statue card).
Repeat.
Either character can ditch the statue at any time, but doing so ensures death immediately following the ditch (due to enemy being able to take his last point of life).
So who wins?
The third player. Neither character in the middle (engaged in a mortal battle) is willing to concede in the infinite loop battle, so the Thief still wandering in the Outer Region is named victor, since he has an infinite amount of time to aggregate power by himself. The great part is, his luck was AWFUL, and after 50 turns of terrible luck (he still had his beginning strength and only 2 points more of craft), ends up winning against seemingly impossible odds.
Awesome, just awesome. Thanks, FFG, for making a game where such a crazy, unpredictable ending is possible.