--%>
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 : Surpluses in the balance of trade The

    The advocates of laissez-faire policies favor: (i) Govt. control of economy. (ii) Public ownership of all the resources. (iii) Income to be distributed according to requirement. (iv) Surpluses in the balance of trade. (v) Minimal govt. intervention in economy.

  • Q : Explain increased global competition

    Explain increased global competition?

    		•
  • Q : What are economic resources What are

    What are economic resources? What are the major functions of the entrepreneur?

    		•
  • Q : Laffer curve & Tax rate Question: Do

    Question: Do raising tax rates necessarily raise tax revenue? What factors affect how tax revenue changes when tax rates change? Using the 'human capital' investment model,

    		•
  • Q : Explain about Market Structures briefly

    Explain about Market Structures briefly.

    		•
  • Q : Least probability of competitive market

    The competitive market system is least probable to be allocatively unproductive as a result of: (w) externalities and public goods. (x) cutthroat competition and the outsourcing of low-wage jobs to less grown countries. (y) the underproduction of a go

    		•
  • Q : Resource market for economic capital

    Janet has loaned a start-up coffee house $50,000 and predicts to earn interest from her financial investment. In circular flow model this transaction is an illustration of: (1) An exchange of her saving for interest, via a resource market for the economic capital. (2)

    		•
  • Q : Illustrate the term Economic Rationale

    Illustrate the term Economic Rationale?

    		•
  • 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 : Elucidate facilitating factors that

    Elucidate facilitating factors that explain the growth of trade?

    		•