--%>
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 : Ambrose’s budget constraint Question:

    Question: Ambrose consumes two goods, peanuts (x1 ) and a composite good (x2). He has a utility functionU = 4 √x1 + x2. This means his MU1 = 2/ √x1 an

    		•
  • Q : Question 7 Question 7: You are given

    Question 7: You are given the following data about two firms: FIRM A Quantity 0 1 2 3 4 5 6 Total revenue ($) 0 10 20 30 40 50 60 Average revenue ($) ___ ___ ___ ___ ___ ___ ___ Marginal revenue ($) ___ ___ ___ ___ ___ ___ Total cost ($) 30 42 50 60 76 100 14

    		•
  • Q : Gains from Exchange- Practice and

    When a world famous concert pianist is as well the world's fastest short order cook, he would most likely gain the most financially through devoting: (i) Full time to frying burgers (ii) Full time to piano practice and concerts. (iii) Half-time cooking and half-time p

    		•
  • Q : How do you account for the dominant

    How do you account for the dominant role of corporations in the U.S. economy?

    		•
  • Q : Meaning of Modigliani-Miller Briefly

    Briefly describe the meaning of Modigliani- Miller (M and M) approach?

    		•
  • Q : Describe the output effects of Inflation

    Describe the output effects of Inflation?

    		•
  • Q : How can we calculate Price earnings

    How can we calculate Price earnings ratio?

    		•
  • Q : History of King Louis world of commerce

    Early in the 18th century, a leading industrialist responded to an advisor of King Louis IV of France, who asked how the crown could most excellent facilitate the world of commerce, along with “Laissez nous faire,” that im

    		•
  • Q : Economic sense production methods

    Evaluate and explain the statements: “In the economic sense production methods are the most efficient methods, once resource prices are considered and are lesser in sense of engineering”.

    		•
  • Q : Utilization of resources in production

    The points on a production possibilities curve communicate to combinations of goods which: (1) Can’t be generated with no technological advances. (2) Utilize all resources fully and efficiently in the production. (3) Can be generated, however use economic capaci

    		•