After aquiring the Mobius Chair during the Darkseid War arc, Batman learned that there are three different Jokers. While I view this is a divisive topic, I do wish to explore the topic more in depth.

Currently, my understanding is that the three different Jokers are-
1. Golden Age (Romero) - Joker
2. Pre New 52 (Alan Moore - Killing Joke) - Joker
3. New 52 (Scott Snyder) - Joker

What I would like to know is what are the distinctive personality differences between the Jokers? Which stories belong to which Jokers?
>The Man Who Laughs
>Death in the Family
>Detective Comics (Snyder)
>Morrison Joker