Find all nash equilibrium to this game

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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.

                Stag       Rabbit

Stag       3,3          0,2

Rabbit   2,0          2,2

Find all Nash equilibrium to this game (remember, they tend to come in odd numbers). Which do you think is most likely to be realized, and why?

Reference no: EM13896665

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