Harry, Ron and Hermione are choosing courses for their new semester at Hogwarts. Harry and Ron...
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Harry, Ron and Hermione are choosing courses for their new semester at Hogwarts. Harry and Ron are interested in the course "Badass Fighting Poses," and Hermione is interested in the course "Magic Economics." However, they prefer taking the same course to taking different courses: Harry and Ron will freeload on Hermione's perfect notes, while Hermione wants to constantly scold them on taking her perfect notes. The payoff matrix is given below. Harry and Ron choose together and they constitute the row player, while Hermione is the column player. Harry & Ron Badass Fighting Poses Magic Economics Hermione Badass Fighting Poses Magic Economics k. 1 2. 3 0.0 a. Find all mixed strategy Nash equilibra of this strategic game when k = 1. assuming that the expected payoffs represent utilities. (10 points) b. Now Harry and Ron prefer the Badass Fighting Poses course even more, even if they cannot coordinate with Hermione, and thus now k = 2. Find all mixed strategy Nash equilibra of this strategic game when k = 2. assuming that the expected payoffs represent utilities. (10 points) c. Interpret the results found in parts a. and b. (5 pts) Harry, Ron and Hermione are choosing courses for their new semester at Hogwarts. Harry and Ron are interested in the course "Badass Fighting Poses," and Hermione is interested in the course "Magic Economics." However, they prefer taking the same course to taking different courses: Harry and Ron will freeload on Hermione's perfect notes, while Hermione wants to constantly scold them on taking her perfect notes. The payoff matrix is given below. Harry and Ron choose together and they constitute the row player, while Hermione is the column player. Harry & Ron Badass Fighting Poses Magic Economics Hermione Badass Fighting Poses Magic Economics k. 1 2. 3 0.0 a. Find all mixed strategy Nash equilibra of this strategic game when k = 1. assuming that the expected payoffs represent utilities. (10 points) b. Now Harry and Ron prefer the Badass Fighting Poses course even more, even if they cannot coordinate with Hermione, and thus now k = 2. Find all mixed strategy Nash equilibra of this strategic game when k = 2. assuming that the expected payoffs represent utilities. (10 points) c. Interpret the results found in parts a. and b. (5 pts)
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Answer a In a zerosum game for each set of strategies the amount of gain by one player must be equal to the amount of loss of the other player ie the ... View the full answer
Related Book For
Taxation Of Individuals And Business Entities 2015
ISBN: 9780077862367
6th Edition
Authors: Brian Spilker, Benjamin Ayers, John Robinson, Edmund Outslay, Ronald Worsham, John Barrick, Connie Weaver
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