Fully Observable Environment
All the information needed to make a decision is observable (ex. chess, checkers)
Partially Observable Environment
Information to make a decision is not all observable, memory is needed (ex. poker)
Deterministic
Actions are predetermined and have an effect on the environment, moves and countermoves (ex. chess)
Stochastic
Actions are random or respond to randomness (ex. dice games)
Discrete
There is a finite amount of decisions or actions that can be taken (ex. chess)
Continuous
There are an infinite amount of possible actions that can be taken (ex.

throwing a dart)

Benign
"not out to get you" (ex. weather)
Adversarial
In direct opposition to your goals (ex. chess)