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博弈论问题,variant of prisoner’s dilemma with altruistic preferen

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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 preferen
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.