--%>
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 : Activities of speculators in long turn

    The activities of speculators tend to, in the long run: (w) decrease the volatility of prices. (x) attract legal attention resulting in imprisonment. (y) increase the level and volatility of prices. (z) yield tremendous profits and raise costs to cons

    		•
  • Q : Describe the Personal distribution of

    Describe the Personal distribution of income?

    		•
  • Q : Theories of capital structure Write

    Write down the theories of capital structure?

    		•
  • Q : Describe Net income approach Briefly

    Briefly describe Net income approach? Named who recommended this theory?

    		•
  • Q : Explain the Market System Specialization

    Explain the Market System Specialization?

    		•
  • Q : The market system provides such a

    Explain the statements: The market system provides such a variety of desired goods and services precisely.

    		•
  • Q : High-convexity portfolios outperform

    a) Whether the bond market moves up or down, high-convexity portfolios will for all time outperform low-convexity portfolios of equal duration and yield." Elucidate the argument supporting this statement and the connection to the classical immunization strategy. What

    		•
  • Q : Allocating resources and distribute

    The market system tends to mainly beneficial allocating resources and distributes goods while: (1) the distributions of wealth and resource ownership are extensively perceived as equitable. (2) markets are extremely competitive. (3) goods are rival an

    		•
  • Q : Requirement of building blocks for a

    Building blocks for a capitalist system consist of: (1) supplies and demands. (2) private property rights. (3) laissez-faire policies. (4) market-determined outputs and prices. (5) All of the above. Please guys hel

    		•
  • Q : Parking meters may yield little or no

    Explain: “Even though parking meters may yield little or no net revenue, because of the rationing function they perform nevertheless be retained”

    		•