--%>
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 : Regression Your firm is worried about

    Your firm is worried about being sued for gender discrimination. There is a growing perception that males are being paid more than females in your department. Using the data in the SALARY tab in the Excel file provided, please complete the following using a = .05 a). Do the men appear to earn mo

    		•
  • Q : Introduction of the term Timing

    Give a brief introduction of the term Timing Principle?

    		•
  • Q : Illustrate how Microeconomics looks at

    Illustrate how Microeconomics looks at specific economic units?

    		•
  • Q : Define the for whom query in market

    The market system responses the “for whom?” query with: (i) distributing goods on the basis of require. (ii) using central planning to coordinate production decisions. (iii) catering to consumers with adequate resources to demand goods. (i

    		•
  • Q : Illustrate Freedom of enterprise and

    Illustrate Freedom of enterprise and choice exist?

    		•
  • Q : Introduction of the term Cost Principle

    Give a brief introduction of the term Cost Principle ?

    		•
  • Q : Theory of wages according to Adam Smith

    Least consistent along with Adam Smith’s theory of wages would be the suggestion that wages vary positively along with the: (w) effort required to learn skills necessary to accomplish particular types of work. (x) stability of employment and the

    		•
  • 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 : Guardian implies that there really is

    Evaluate and explain the statements: “Market is its own guardian implies that there really is an invisible hand or taskmaster that watches over the decision makers in the marketplace”

    		•
  • Q : What is the opportunity cost of

    What is the opportunity cost of attending college?  In 2000, nearly 80% of college-educated Americans held jobs, whereas only about 40% of those who did not finish high school held jobs.  How might this difference relate to opportunity costs?

    		•