--%>
Assignment Help - homework help

Problem on prisoners dilemma game

Lets assume an infinitely repeated prisoner’s dilemma game by two players. The resulting payoffs at each phase by the actions of two players are illustrated below in the table (payoffs are symbolized like (payoff for player 1, payoff for player 2)). Two players find out their strategies simultaneously and independently to maximize the expected payoffs of their own based on their information. The game is potentially infinitely repeated, though the game ends at a probability of 1–x (0≤1–x≤1) in every phase (that is, such players continue to play this game at the probability of x). There is no discount rate for the future payoffs (that is,  both players weight current and future payoffs equally).

1139_game.jpg

(a) Assume two players adopt a Trigger Strategy (Play C in the first phase In the tth phase(t≥2), if the outcome of all t–1 preceding stages has been (9, 9), then play C; or else play D). Find the range of x which makes cooperation self-sustainable.

(b) Assume two players adopt a Tit for Tat Strategy (TFT) (Play C in the first phase And then, do whatever the other player did at the previous phase). Find the range of x which makes cooperation self-sustainable.

   Related Questions in Business Economics

  • Q : Elucidate Ticket Scalping - A Bum Rap

    Elucidate “Ticket Scalping:  A Bum Rap”?

    		•
  • Q : Main advantage of EVA The main

    The main advantage of using EVA is that it is simple to calculate and understand. It uses simple measures like operating profits and cost of capital terms which are widely known and accepted in the financial arena. It helps the managers to assess thei

    		•
  • Q : Illustrate 2nd function to promote and

    Illustrate the 2nd function to promote and maintain competition?

    		•
  • Q : Technology in production Drawing a

    Drawing a production possibilities frontier needs the supposition that: (1) Decision makers encompass discretion over resource accessibility. (2) Technology is constant. (3) Income is fairly distributed. (4) Resources are considerably diverse. (5) At least three goods

    		•
  • Q : Explain of the law of demand Explain of

    Explain of the law of demand?

    		•
  • Q : Perfectly competitive market and its

    Which of the given is not a characteristic of a perfectly competitive market structure: w) there are a very huge number of firms which are small compared to the market. x) All firms sell the same products. y) There are no restrictions to entry through

    		•
  • Q : Who define Theory of Moral Sentiments

    The argument which slicing off one’s pinkie would be extra bothersome to which person than the loss of millions of his brethren was made within A Theory of Moral Sentiments (1755) through: (1) Adam Smith. (2) David Ricardo. (3) Theophrastus Phil

    		•
  • Q : Introduction of the term Cost of equity

    Give a brief introduction of the term Cost of equity shares?

    		•
  • Q : Inefficiencies and inequities by

    An employer that exaggerates the safety of a position or the prospects for advancement to job applicants makes inefficiencies as well as arguable inequities due to: (1) signaling. (2) credentialism. (3) screening. (4) adverse selection. (5) a moral hazard.

  • Q : Need urgent help need urgent help in

    need urgent help in business economics, please suggest

    		•