A Key Difference Between the Stag-Hunt Game and the Battle-Of-The-Sexes

A key difference between the stag-hunt game and the battle-of-the-sexes game is that:

A) the stag-hunt game has one payoff-dominant equilibrium and one risk-dominant equilibrium; the battle-of-the-sexes game has two equilibria, neither of which is either payoff or risk-dominant.
B) the battle-of-the-sexes game has one payoff-dominant equilibrium and one risk-dominant equilibrium; the stag-hunt game has two equilibria, none of which are either payoff or risk-dominant.
C) the battle-of-the-sexes game has one dominant strategy Nash equilibrium; the stag-hunt game has two equilibria, none of which are either payoff or risk-dominant.
D) the battle-of-the-sexes game has one payoff-dominant equilibrium and one risk-dominant equilibrium; the stag-hunt game has one dominant strategy Nash equilibrium.