Question

Cory and Dana each have three pieces of paper with the letter S (for scissors), P (for paper), or R (for rock) on each piece. They each place one piece of paper on a table at the same time. If both chose the same letter, it is a draw and each gets zero points--nobody wins, nobody loses. If one chose S and the other P, then the first person wins and scores 1 point, while the second loses and scores -1 because scissors can cut paper. If one chose R and the other S, then the first person wins and scores 1 point, while the second loses and scores -1 because rock can break scissors. If one chose P and the other R, then the first person wins and scores 1 point, while the second loses and scores -1 because paper can cover rock.
Cory and Dana are the players. Their actions are to choose S, P, or R. Cory's payoffs are:

A. 0, 1, or -1

B.No answer text provided.

C. Win, lose, or draw

D. No answer text provided.

Answer 1

Cory's payoff are dependent on what Dana chooses.

If Cory plays S and Dana also plays S, Cory gets 0.

If Cory plays S and Dana plays P, Cory gets 1.

If Cory plays S and Dana plays R, Cory gets -1.

The same can be repeated for Cory playing P and R.

Hence we cannot tell exact payoff without knowing what Dana is going to do but

Set of possible payoffs to Cory = {0, 1, -1}

Following is the complete payoff matrix;