View the step-by-step solution to:


Suppose you and I play a game of rock-paper-scissors. As usual, rock beats

scissors, which beats paper, which beats rock. The payoffs are as follows: If we both play the same thing, no money is exchanged. If I play rock and you play paper, I owe you one dollar. If I play rock and you play scissors, you owe me two dollars. If I play scissors and you play paper, you owe me three dollars. If our roles are reversed, so are the payments (for example, if I play paper and you play scissors, I owe you three dollars). Write down the payoff matrix for this zero-sum game, and then solve the game by finding the value and the optimal strategies for both players.

Recently Asked Questions

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.


Educational Resources
  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

    Browse Documents
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question
Ask Expert Tutors You can ask 0 bonus questions You can ask 0 questions (0 expire soon) You can ask 0 questions (will expire )
Answers in as fast as 15 minutes