Consider the following scenario in an organization, represented by the game below. Players 1 and 2 choose their actions simultaneously. The first payoff in each square is 1’s payoff; the second is the payoff of player 2. 2 cooperate revenge 1 cooperate 13,15 8,16 revenge 17,3 10,12 Which statement is true, where the first strategy is player 1’s and the second is for player 2?Group of answer choicesThe Nash equilibrium is (Cooperate, Renege); this is a prisoners’ dilemma.The Nash equilibrium is (Renege, Cooperate); this is a prisoners’ dilemma.The Nash equilibrium is (Renege, Renege); this is not a prisoners’ dilemma.The Nash equilibrium is (Renege, Renege); this is a prisoners’ dilemma.The Nash equilibrium is (Cooperate, Cooperate); this is not a prisoners’ dilemma.

Choose ALL correct answers:A prisoners' dilemma is a game in which:Group of answer choicesplayers cooperate in arriving at their strategies.all players have a dominant strategy.all players could be better off if neither chose their dominant strategy.both players choose their dominant strategies in the Nash equilibrium.None of the other answers are correct

The Prisoners’ Dilemma is so named becauseGroup of answer choicesthe Nash equilibrium is one of the worst outcomes for the players.the game has no Nash equilibriumthe game is zero-sumplayers end up earning a lighter sentence than the prosecutor would like.

In a prisoners’ dilemmaGroup of answer choicesThe best possible payoff is achieved for all playersNone of the other answers are correct.The worst possible payoff is achieved for all playersIt is possible that joint payoffs are maximised (the sum of the players' payoffs) provided they adopt a 'cooperative' strategy.

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

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)