Select the correct statement concerning static games.

Group of answer choices

If each player has a dominant strategy then there exists a dominant strategy equilibrium but no pure strategy Nash equilibrium.

If each player has a dominated strategy then each player must also have a dominant strategy. Hint: See Table $12\mathrm{.}2$ in your textbook.

In a standard prisoners' dilemma the equilibrium changes if one of the players chooses first and the other player chooses second $($i$.$e$.,$ a sequential game$).$

If a game does not have a pure strategy Nash equilibrium it may still have a maximin solution.