--%>
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 : Explanation of theory of pricing for

    The theory of pricing for particular goods explained in Adam Smith’s Wealth of Nations is most consistent along with: (1) mercantilist doctrine. (2) Richard Cantillon’s distinction between “value in

    		•
  • Q : Why Public or social goods not be

    Why Public or social goods not be produced through the market?

    		•
  • Q : Factor Price Equalization theorem

    Please answer each of the exercises below. While you may work together on the homework, you must turn in your own work (in your own words). Homework must be handed in at the beginning of class on the due date unless other arrangements have been made. No late homework will be accepted. Homework wi

    		•
  • Q : What do you mean by Financial Linkages

    What do you mean by Financial Linkages in U.S. and World Trade?

    		•
  • Q : Market system & a command economy try

    Contrast how a market system and a command economy try to cope with economic scarcity?

    		•
  • Q : State of good or service at last unit

    Which of the given describes a situation in which each good or service is produced up to the point where the last unit gives a marginal benefit to consumers equivalent to the marginal cost of producing this? w) productive efficiency.

    		•
  • Q : Illustrate how Microeconomics looks at

    Illustrate how Microeconomics looks at specific economic units?

    		•
  • Q : Positive task of speculators in market

    A positive responsibility played through speculators within a market economy is to: (1) find out price levels for entrepreneurs. (2) predict the quantity at that long run equilibrium would be attained. (3) inform government organizations of consumer p

    		•
  • Q : Real rate of interest Question: Hubbard

    Question: Hubbard argues that the Fed can control the Fed funds rate, but the interest rate that is important for the economy is a longer-term real rate of interest.   How much control does the Fed have over this longer real rate?

  • Q : Freedom is to some extent illusory

    Illustrate “freedom is to some extent illusory”?

    		•