--%>
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 : If resources were unlimited and freely

    Explain this statement:  “If resources were unlimited and freely available, there would be no subject called economics.”

    		•
  • Q : Writ short note on the Income of

    Writ short note on the Income of personal distribution?

    		•
  • Q : Government policies with respect to the

    Can you explain how different government policies with respect to the recycling of aluminum and paper might account for these different market outcomes?

    		•
  • Q : Limitation of building blocks for a

    Building blocks for a capitalist system would not consist of: (1) supplies and demands. (2) private property rights. (3) laissez-faire policies. (4) market-found prices and outputs. (5) distribution of income in accord along with the principle, &ldquo

    		•
  • Q : Who is a normal resident Normal

    Normal resident: The persons or an institution who lives in a country and whose centre of interest lies in that country is termed as a normal resident of that country.

    		•
  • Q : Calculate Equilibrium Quantity and Price

    1. The owner of a firm calculates that next year's profit will be $1,000. Each successive year profit will increase by 10% (i.e. year 2: $1100; year 3: $1210 and so on.) At the end of the 5th year the firm could be sold for $20,000. A) if the appropriate di

    		•
  • Q : Depreciation of the euro change the

    If the European euro declines in value (depreciates) in the foreign exchange market, would it be easier or harder for the French to sell their wine in the United States?  Suppose you were planning a trip to Paris.  How would the depreciation of the euro chan

    		•
  • Q : Roundabout production Describe the

    Describe the merits of “roundabout” production?  Describe the term “division of labor”?

    		•
  • Q : Circular flow model of the private

    I have a problem in economics on Circular flow model of the private sector. Please help me in the following question. The simple circular flow model of private sector doesn’t comprise: (i) Firms. (ii) Product markets. (iii) Government agencies.

    		•
  • Q : Market Apparent program For the

    For the question below, utilize the given information. The market for gizmos is competitive, with an increasing sloping supply curve and a downward sloping demand curve. With no govt. intervention, the equilibrium price is $25 and the equilibrium quantity is 10,000 gi

    		•