--%>
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 : Technical change and vintage technology

    In heterodox economics, what implications does technical change and vintage technology contain for the cost structure of the business enterprise?

    		•
  • Q : Technological advances in producing

    When given resources can now produce additional goods than was previously probable, then there have been a: (1) Stock market boom. (2) Competitive spurt which shrinks entrepreneurial gain. (3) Concavity reversal in the production possibilities frontier. (4) Bigger rel

    		•
  • Q : Introduction of the term Control Factor

    Give a brief introduction of the term Control Factor?

    		•
  • Q : Exchange and Specialization I have a

    I have a problem in economics on Exchange and Specialization. Please help me in getting the right answer from the following question. Sarah the wheat farmer would be most probable to trade for fruit from the Kathy's orchard if: (i) Sarah's opportunity

    		•
  • Q : Why is speculation unlike arbitrage

    Speculation is unlike arbitrage since: (1) speculative buyers always break even. (2) speculation causes increased costs. (3) speculators bear no risk. (4) positive returns for speculators are not sure. (5) competitive speculation equa

    		•
  • Q : The market system provides such a

    Explain the statements: The market system provides such a variety of desired goods and services precisely.

    		•
  • Q : Reducing output of other good When the

    When the production possibilities frontier in a proficient economy is not growing, raising the output of one good always needs: (i) Increasing the output price for the other good. (ii) Bigger amounts of resources. (iii) Decreasing the output of other

    		•
  • 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 : Determine the Relative Price of given

    When turkey is $1 per pound and the relative price of ham to turkey is 2, in that case a pound of ham costs: (i) 50 cents. (ii) 1/2 pound of turkey. (iii) 2 pounds of turkey. (v) 12 pesetas. (iv) 5 euros. How can I

    		•
  • Q : What are the main sources of growth

    What are the main sources of growth?

    		•