(Table: Players 1 and 2 I) The table shows the payoffs from the game rock-paper-scissors. Which of the following statements is (are) TRUE?
I. There is no pure-strategy Nash equilibrium.
II. The Nash equilibria are (rock, rock), (paper, paper), and (scissors, scissors).
III. The mixed-strategy Nash equilibrium is for each player to randomly select each strategy one-third of the time.

Question

(Table: Players 1 and 2 I) The table shows the payoffs from the game rock-paper-scissors.  Which of the following statements is (are) TRUE?
I. There is no pure-strategy Nash equilibrium.
II. The Nash equilibria are (rock, rock), (paper, paper), and (scissors, scissors).
III. The mixed-strategy Nash equilibrium is for each player to randomly select each strategy one-third of the time.

Quizplus · Accepted Answer

The Answer of (Table: Players 1 and 2 I) The table shows the payoffs from the game rock-paper-scissors.  Which of the following statements is (are) TRUE?
I. There is no pure-strategy Nash equilibrium.
II. The Nash equilibria are (rock, rock), (paper, paper), and (scissors, scissors).
III. The mixed-strategy Nash equilibrium is for each player to randomly select each strategy one-third of the time.

(Table: Players 1 and 2 I) the Table Shows the Payoffs