Two hunters have set off to get food from the forest. They have two possible games that they can hunt: either a stag or rabbits. If both players hunt the stag, then they succeed in bringing it down; this gives them both a payoff of 2 units of food. If one player hunts the stag and the other hunts rabbits, then the stag hunter will fail while the rabbit hunter will succeed; i.e. the stag hunter gets a payoff of O while the rabbit hunter gets a payoff of 1. Finally, if both hunters pursue rabbits, they both receive a payoff of 1. The payoff matrix for this game is shown below. Determine all the Nash equilibria of this game (if there are any). O (Stag, Stag) and (Rabbit, Rabbit) The game has no Nash equilibrium. (Rabbit, Rabbit) O (Stag, Stag) STAG RABBIT STAG (2, 2) (1,0) RABBIT (0, 1) (1, 1)

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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Two hunters have set off to get food from the forest. They have two possible games that they can hunt: either a stag or rabbits. If both
players hunt the stag, then they succeed in bringing it down; this gives them both a payoff of 2 units of food. If one player hunts the
stag and the other hunts rabbits, then the stag hunter will fail while the rabbit hunter will succeed; i.e. the stag hunter gets a payoff of
O while the rabbit hunter gets a payoff of 1. Finally, if both hunters pursue rabbits, they both receive a payoff of 1. The payoff
for this game is shown below. Determine all the Nash equilibria of this game (if there are any).
matrix
O (Stag, Stag) and (Rabbit, Rabbit)
O The game has no Nash equilibrium.
O (Rabbit, Rabbit)
O (Stag, Stag)
STAG
RABBIT
STAG
(2, 2)
(1,0)
RABBIT
(0, 1)
(1, 1)
co
Transcribed Image Text:Two hunters have set off to get food from the forest. They have two possible games that they can hunt: either a stag or rabbits. If both players hunt the stag, then they succeed in bringing it down; this gives them both a payoff of 2 units of food. If one player hunts the stag and the other hunts rabbits, then the stag hunter will fail while the rabbit hunter will succeed; i.e. the stag hunter gets a payoff of O while the rabbit hunter gets a payoff of 1. Finally, if both hunters pursue rabbits, they both receive a payoff of 1. The payoff for this game is shown below. Determine all the Nash equilibria of this game (if there are any). matrix O (Stag, Stag) and (Rabbit, Rabbit) O The game has no Nash equilibrium. O (Rabbit, Rabbit) O (Stag, Stag) STAG RABBIT STAG (2, 2) (1,0) RABBIT (0, 1) (1, 1) co
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