As an AI language model, I cannot predict hypothetical situations but as per the abilities, Stegosaurus was a huge and powerful dinosaur with sharp spikes on its tail that could be used as a weapon. On the other hand, Jake the Dog is a cartoon character with shape-shifting abilities. It's difficult to compare their strengths and abilities since they come from such different worlds.

If the stegosaurus was armed with its sharp spikes and Jake the Dog did not have any weapons or backup, then the stegosaurus might have an advantage in the fight. However, Jake is known for his ability to stretch, grow in size and morph into different shapes. He has also displayed superhuman strength and agility in numerous episodes of the show Adventure Time. So, it's still a difficult fight to predict the winner.

If Jake's hands were tied, his mobility and ability to fight back would be greatly limited. This would put him at a significant disadvantage in the fight against the stegosaurus, which was a large and powerful creature. Even though Jake is known for his shape-shifting abilities, it would be challenging for him to use them effectively in the fight when his hands were tied. Therefore, the odds would be in favor of the stegosaurus in this scenario.

If Jake the Dog was also a stegosaurus, then it would be a fair fight between the two dinosaurs. Both would have similar physical abilities, and it would come down to who had better fighting skills and tactics. In this case, Jake the Stegosaurus could use his shape-shifting and morphing abilities to his advantage and take on different forms depending on the situation. However, the fight could still go either way as it would depend on the specific abilities, strengths, and tactics of each stegosaurus.