It also depends on the monster.
Monsters with no survival instinct are not going to run. Zombies, golems, etc - its in their "programming" so to speak to fight to the death, because they're neither smart enough to understand being outmatched, and they have no instinct to prompt them to flee.
An intelligent monster who's boxed in (has to deal with several opportunity attacks and is slower than the party) just has no chance of running on foot away. Running is suicide. If it's intelligent, and it realizes this, then it might fight to the death out of spite. The ol 'I"ll take one of these punks, or go down swinging.'
An important thing to note is that some monsters might not run, but simply charge right past the defender to get to something weaker. Either because that monster just likes beating on weaklings, or it understands attacking the fighter is a futile effort. In fact try this: the monster makes a move action to get away from the fighter. Cue combat superiority. Then the monster uses its standard action to charge. Or, monster shifts back, cue combat challenge, then uses its standard to charge. Sure, it's taking an attack, and a -2 to hit, but it's going to be much more threatening.
This also goes for the paladin's challenge. Some monsters sure can take the damage (this goes double for elites/solos). The only monsters that should be afraid of the Paladin's challenge are undead, who are going to take radiant damage.
Monsters with no survival instinct are not going to run. Zombies, golems, etc - its in their "programming" so to speak to fight to the death, because they're neither smart enough to understand being outmatched, and they have no instinct to prompt them to flee.
An intelligent monster who's boxed in (has to deal with several opportunity attacks and is slower than the party) just has no chance of running on foot away. Running is suicide. If it's intelligent, and it realizes this, then it might fight to the death out of spite. The ol 'I"ll take one of these punks, or go down swinging.'
An important thing to note is that some monsters might not run, but simply charge right past the defender to get to something weaker. Either because that monster just likes beating on weaklings, or it understands attacking the fighter is a futile effort. In fact try this: the monster makes a move action to get away from the fighter. Cue combat superiority. Then the monster uses its standard action to charge. Or, monster shifts back, cue combat challenge, then uses its standard to charge. Sure, it's taking an attack, and a -2 to hit, but it's going to be much more threatening.
This also goes for the paladin's challenge. Some monsters sure can take the damage (this goes double for elites/solos). The only monsters that should be afraid of the Paladin's challenge are undead, who are going to take radiant damage.