作业帮博弈论问题,variant of prisoner’s dilemma with altruistic preferencesSuppose that the basic game is prisoner’s dilemma,but the players are not “selfish”.Rather,the preferences of each player i are represented by the payoff function m i (a
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博弈论问题,variant of prisoner’s dilemma with altruistic preferencesSuppose that the basic game is prisoner’s dilemma,but the players are not “selfish”.Rather,the preferences of each player i are represented by the payoff function m i (a
博弈论问题,variant of prisoner’s dilemma with altruistic preferences
Suppose that the basic game is prisoner’s dilemma,but the players are not “selfish”.Rather,the preferences of each player i are represented by the payoff function m i (a)+αm j (a),where m i (a) is the amount of money received by player i when the action profile is a,j is the other player,and α is a given nonnegative number.Player 1’s payoff to the action pair (Quiet,Quiet),for example,is 2+2α.
a.Formulate a strategic game that models this situation in the case α=1.Is this game the Prisoner’s Dilemma?
b.Find the range of values of α for which the resulting game is the prisoner’s Dilemma.For values of α for which the game is not the prisoner’s Dilemma,find the Nash equilibria.
博弈论问题,variant of prisoner’s dilemma with altruistic preferencesSuppose that the basic game is prisoner’s dilemma,but the players are not “selfish”.Rather,the preferences of each player i are represented by the payoff function m i (a
囚犯的困境与利他偏好变异
假设基本的游戏是囚犯的困境,但球员不是“自私”.相反,每个参与者i的偏好是由收益为代表的功能英里（1）+αmĵ（1）,其中美（1）是的球员,我收到的金额时,行动组合是,j是其他球员,α是给定的非负数字.玩家1的回报的行动对（安静,安静）,例如,是2 +2α.
字母a.制订战略游戏模式,在α= 1例这种情况.这是游戏的囚徒困境?
湾找到了其中的α产生的游戏是囚犯的困境值的范围.对于α值的比赛不是囚犯的困境,找到纳什均衡.