--%>
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 : Construct a 2-D graph which comprises

    How to construct a 2-D graph which comprises drawing a horizontal and a vertical axis?

    		•
  • Q : Describe Quasi-public goods Describe

    Describe Quasi-public goods?

    		•
  • Q : Checkout problem A grocery store chain

    A grocery store chain is considering ways to improve the performance of the waiting lines at their checkout stands. A heavily trafficked checkout stand is monitored for 120 min. In that period, 60 customers have their groceries rung up, and depart from the store. The

    		•
  • Q : Way to determine nature price of Adam

    “Natural price” by Adam Smith of a good was eventually determined through: (1) the amount of capital used within production in the short run. (2) long-run average costs of production, that Adam Smith believed to be the amo

    		•
  • 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 : Problem on private resource ownership

    Relative to most of the other countries, the United States encompasses historically relied more greatly on: (1) Public resource ownership and private income distribution. (2) Decentralized decision making and private resource ownership. (3) Exports of textiles, automo

    		•
  • Q : Describe financial leverage and low

    Describe briefly high financial leverage, low operating leverage?

    		•
  • Q : Expansion of preschool programs for

    Use the circular flow model to confirm this assertion for an expansion of preschool programs for disadvantaged children?

    		•
  • Q : Enterprise is dictated primarily by

    “The legal form an enterprise assumes is dictated primarily by the financial requirements of its particular line of production.”  Do you agree?

    		•
  • Q : Writ short note on the Income of

    Writ short note on the Income of personal distribution?

    		•