Under a mixed strategy,

(A) a player moves sequentially.
(B) player chooses among two or more pure strategies according to pre-
specified probabilities.
(C) the players may never reach a Nash equilibrium.
(D) cheating is encouraged.
(E) players are indifferent among their alternatives.

Under a mixed strategy, B) players choose among two or more pure strategies according to pre-specified probabilities.

In game theory, a mixed strategy is a strategy where players do not always choose the same action with certainty, but instead choose among different actions according to specified probabilities. This means that players have a combination of pure strategies that they use with certain probabilities.

For example, in a game where a player can choose between strategy A and strategy B, a mixed strategy would involve choosing strategy A with a certain probability and strategy B with another probability. The probabilities assigned to each strategy can be determined by the player based on their own evaluation of the game.

It's important to note that under a mixed strategy, C) players may still reach a Nash equilibrium. A Nash equilibrium is a set of strategies in which no player has an incentive to unilaterally deviate from their chosen strategy. Even though players are using mixed strategies, they can still converge to a situation where no player wants to change their strategy.

On the other hand, option A) a player moving sequentially and option D) cheating being encouraged are not directly related to mixed strategies. Sequential movement refers to players taking turns in making their moves, which can happen regardless of whether a mixed strategy is used or not. Cheating being encouraged is not a characteristic of a mixed strategy, but rather a normative statement about behavior in a game.

Option E) players being indifferent among their alternatives can be true in certain situations under mixed strategies. If players have assigned equal probabilities to each pure strategy, they may be indifferent between the alternatives. However, this is not a defining characteristic of mixed strategies, as players can assign different probabilities based on their preferences.