Two hunters went out into the forest to hunt for deer. Each take their position
ID: 1192908 • Letter: T
Question
Two hunters went out into the forest to hunt for deer. Each take their position in the forest, and wait for the stag to come by. But as they are standing there, a rabbit runs by each (not necessarily at the same time), and each considers leaving his post to pursue the rabbit. If either does this, neither will catch the stag.
Game theorists have studied a game based on this situation, the Stag Hunt game.
Find all Nash equilibria to this game (remember, they tend to come in odd numbers). Which do you think is most likely to be realized, and why?
Stag Rabbit Stag 3,3 0,2 Rabbit 2,0 2,2Explanation / Answer
The theory of strategic preference that studies the problem of social interaction has evolved from the evolutionary game theory. The evolutionary game theory deals with strategic interaction between individuals in each society.
The Nash equilibrium of the game occurs when both the player takes their best strategies in response to the strategies of the other players. The prisoner’s dilemma is a situation where the players choses a Nash equilibrium that is not associated with the highest payoff of the players.
In the game above if player 1 chooses the strategy stag, it is optimal for player 2 to chose stag. On the other hand, if 1 chooses the Rabbit, player 2 maximizes strategy by choosing rabbit.
Similarly, if player 2 chooses stag player 1 will optimize his ayoff and chhoose stag. On the other hand, if he chooses Rabbit, player 1 will choose rabbit. Therefore, the Nash equilibria of this game is (stag,stag) with payoff (3,3) and (Rabbit, Rabbit) with payoff (2,2).
If anyone move first, he will choose to get the rabbit instead of waiting for the stag. Then both will end up hunting rabbit. The payoff will be lower than stag.
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