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 Draw the entire game as an extensive form (game tree), capturing both Jack’s initial decision (M or H) and the subsequent hunting game. Make sure to correctly label all players, actions, and information sets.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
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Hello, please help me to solve this Game Theory question. Thanks in advance!

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

Draw the entire game as an extensive form (game tree), capturing both Jack’s initial decision (M or H) and the subsequent hunting game. Make sure to correctly label all players, actions, and information sets.

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