Two hunters are on a stag hunt. They split up in the forest and each have two strategies: hunt for a stag (S), or give up the stag hunt and instead hunt for rabbit (R). If they both hunt for a stag, they will succeed and each earn a payoff of 9. If one hunts for stag and the other gives up and hunts for rabbit, the stag hunter receives 0 and the rabbit hunter 8. If both hunt for rabbit then each receives 7. Compute all Nash equilibria for this game, called 'The Stag Hunt', depicted below. Which of these equilibria do you think is most likely to be played? Why? S R S 9,9 8,0 R 0,8 7,7

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter15: Strategic Games
Section: Chapter Questions
Problem 15.1IP
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Two hunters are on a stag hunt. They split up in the forest and each have two strategies: hunt for a
stag (S), or give up the stag hunt and instead hunt for rabbit (R). If they both hunt for a stag, they
will succeed and each earn a payoff of 9. If one hunts for stag and the other gives up and hunts for
rabbit, the stag hunter receives 0 and the rabbit hunter 8. If both hunt for rabbit then each receives 7.
Compute all Nash equilibria for this game, called 'The Stag Hunt', depicted below. Which of these
equilibria do you think is most likely to be played? Why?
S
R
S
9,9
8,0
R
0,8
7,7
Transcribed Image Text:Two hunters are on a stag hunt. They split up in the forest and each have two strategies: hunt for a stag (S), or give up the stag hunt and instead hunt for rabbit (R). If they both hunt for a stag, they will succeed and each earn a payoff of 9. If one hunts for stag and the other gives up and hunts for rabbit, the stag hunter receives 0 and the rabbit hunter 8. If both hunt for rabbit then each receives 7. Compute all Nash equilibria for this game, called 'The Stag Hunt', depicted below. Which of these equilibria do you think is most likely to be played? Why? S R S 9,9 8,0 R 0,8 7,7
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