Outcome lottery

A distribution over outcomes; expectation is one functional among many.

Lenses and frameworks

Role. Target. Graph node dist.

Expected value, CVaR, stochastic dominance, entropic risk, chance constraints, minimax, and regret can rank the same lotteries differently.

— Frames draft §4.2 (Bäuerle and Jaśkiewicz 2024)

Distributional RL learns a random return and still leaves open which functional governs action. Projecting to a mean state score has no section: the tails and model ambiguity are gone.