Difference between Agility and Maneuverability?

Is there a difference between agility and maneuverability, and what are the basic contributing factors of either?

Take the following hypothetical scenario. In a gun only dogfight without sensors of any type except mk.1 eyeball, with pilots of equal skill, which of the following aircraft designs would most likely have the advantage.
a) F-22 Raptor
b) MiG-29 OVT
c) Saab Gripen