Game thoery, Nash equilibrium

.Attempt all the questions. .Write in the space indicated. . This exam is administered remotely via the Blackboard course website at https://learn.bu.edu/ . You ha 24 hours to complete the exam. Detailed instructions can be found in an announcement on the course w or the email sent to you prior to the exam. . You are not permitted to seek help for this exam, either from another person or from the internet and other sources. Providing help to another student taking the exam is also prohibited. To validate your ex you must agree to these terms and sign the following Honor Pledge: I affirm truthfully that I have abided by the terms of the exam as stated above. In ca violation, I understand that I may fail the exam, fail the course, and be subjected to the sanctions of University's Academic Conduct Code. Signature (Required): Date/Time: 1. [7 points] Consider the following game: B C Column Player Row's Payoff=1 Row's Payoff-2 H Col's Payoff= 3 Row's Payoff=0 Col's Payoff= 4 Col's Payoff= 0 Row's Payoff=3 Row's Payoff=5 Row's Payoff=1 L Col's Payoff= 2 Col's Payoff= 1 Col's Payoff= 3 Row Player (a) Find all the pure strategy Nash equilibria, if there is any. (b) Find a mixed strategy Nash equilibrium different from any of your answers in (a). Row's mixed strategy is WA _[ L] Column's mixed strategy isH [ A] + H [ B ] + L [C] C) What are the expected payoffs of the equilibrium you found in (b)? Row's Exp. Payoff = Column's Exp. Payoff = page is left blank for Question 1.) Page 1 of 9 k for Question 2.) Page 3 of 9