Question

"Which of the following is true of a Nash equilibrium?

A.No player can improve his payoff by changing his strategy once in Nash equilibrium.
B.A game can have only one Nash equilibrium.
C.A Nash equilibrium occurs if each player earns a zero payoff irrespective of the strategy he chooses.
D.A Nash equilibrium cannot occur if each player is aware of the strategies of other players."

Answer 1

A Nash equilibrium occurs when no player can improve their payoff by changing their strategy, but it can occur even if each player is aware of the strategies of other players.

Step-by-step explanation:

A Nash equilibrium is a concept in game theory that describes a situation where no player can improve their payoff by unilaterally changing their strategy, given the strategies chosen by the other players. This means that option A is true.

A game can have multiple Nash equilibria, so option B is false.

A Nash equilibrium does not necessarily result in a zero payoff for all players. Each player's payoff in a Nash equilibrium depends on the specific strategy profile. So option C is false.

A Nash equilibrium can still occur even if each player is aware of the strategies of other players. Being aware of other players' strategies does not necessarily prevent a Nash equilibrium from arising. So option D is false.