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)
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
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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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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