Hobby hunter Jack decides what to do the next weekend. He can either stay at home and watch movies (Movies), or call his friend Katherine to go hunting (Hunt). If he stays in, both Jack and Katherine get a payoff of 2. If he decides to hunt, he knows the situation with his friend will resemble a classic stag hunt game with simultaneous moves: Hunting a stag is better than hunting a rabbit, but it only works if they cooperate. The hunting subgame is captured as: Katherine Stag Rabbit Jack Stag 3 , 3 0 , 1 Rabbit 1 , 0 1 , 1 Are the Nash Equilibria of the full game credible? Comment on any Nash equilibria of the full game which are not credible. Find all subgame perfect equilibria in pure strategies.
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Hobby hunter Jack decides what to do the next weekend. He can either stay at home and watch movies (Movies), or call his friend Katherine to go hunting (Hunt). If he stays in, both Jack and Katherine get a payoff of 2. If he decides to hunt, he knows the situation with his friend will resemble a classic stag hunt game with simultaneous moves: Hunting a stag is better than hunting a rabbit, but it only works if they cooperate.
The hunting subgame is captured as:
|
Katherine |
|||
|
Stag |
Rabbit |
||
|
Jack |
Stag |
3 , 3 |
0 , 1 |
|
Rabbit |
1 , 0 |
1 , 1 |
Are the Nash Equilibria of the full game credible?
Comment on any Nash equilibria of the full game which are not credible.
Find all subgame perfect equilibria in pure strategies.
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