Question 6Which game has no mixed Nash equilibrium, i.e., no Nash equilibrium where at least one player chooses random behavior? Choose the correct game with a correct reason. 1 pointThe coordination game, because payoffs for each player are the same across two Nash equilibria. The battle of the Sexes, because players have made a promise where to visit during the next holiday. The matching pennies, because the result of a coin-toss trial can be perfectly predicted by today’s science. The prisoner’s dilemma, because defection is best for both players and they do not consider that mutual cooperation can be attained.

Question 6Which of the following games has the property that Nash equilibrium is played when players are rational (in the sense that each player tries to maximize her/his own payoff)? 1 pointBattle of the Sexes Traffic gameCoordination Game Prisoner’s Dilemma

Consider a prisoner’s dilemma type of game and a coordination type of game. In which type of game are there more Nash equillibrium?Group of answer choicesThey have the same amountCoordinationPrisoner’s dilemmaNone of the above

What are the properties of the Prisoner’s Dilemma game? Choose all applicable properties.(A) Mutual cooperation is better than mutual defection for all players.(B) Mutual cooperation and mutual defection are both Nash equilibria.(C) For any given action of your opponent, defection is always better than cooperation.(D) Nash equilibrium does not exist.1 pointOnly B.Only D. A and B. A and C A, B and C. A, C and D

Consider an application of the Prisoner’s Dilemma game where two countries in a cartel decide whether to Cooperate or Defect. If both choose to follow the cartel agreement and continues cooperating with each other, each receives a payoff of 2. If both decide to defect on each other, they both get -2. If one player cooperates and the other defects, then the one cooperates loses 10 (receives -10) while the other player gets 0 . Denote the probability of cooperating for Player 1 as p and for Player 2 as q.How much does Player 1 earn in the mixed-strategy Nash equilibrium of this game?Write your answer as a decimal with 2 decimal places (e.g. 0.25)

Consider the following game represented in normal form. Terry and Kerry are roommates who must make decisions about cleaning. Terry’s payoff is the first number in each cell and a higher number is a better outcome. Assume that Terry makes his decision first, if so what is the Nash Equilibrium of this game:   Kerry  CleanDon’t cleanTerryClean( 8, 2 )( 3, 5 )Don’t clean( 10, 3 )( 4, 1 )Group of answer choicesTerry will clean and Kerry will not clean.Terry will not clean and Kerry will not clean.Terry will not clean and Kerry will clean.Terry will clean and Kerry will clean.More information is required to answer this question.