--%>
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 : External factors which influencing the

    Write down the external factors which influencing the capital structure?

    		•
  • Q : Reducing output of other good When the

    When the production possibilities frontier in a proficient economy is not growing, raising the output of one good always needs: (i) Increasing the output price for the other good. (ii) Bigger amounts of resources. (iii) Decreasing the output of other

    		•
  • Q : Perfect Competition leads to Allocative

    A perfectly competitive industry achieves allocative efficiency since: w) goods and services are produced at the lowest possible cost. x) services and goods are produced up to the point where the last unit gives a marginal benefit to consumers equivalent to the margin

    		•
  • Q : Elucidate The General Agreement of

    Elucidate The General Agreement of Tariffs and Trade (GATT)?

    		•
  • Q : What do you mean by the term United

    What do you mean by the term “United State in Global Economy”?

    		•
  • Q : Determine equilibrium prices market

    The new supply and demand curves within University City were S0 and D0, before the county commission imposed a $3 per six-pack excise tax upon beer. The new equilibrium quantities of six-packs sold per month and equilibrium prices, respectively,

    		•
  • Q : Exchange and Specialization I have a

    I have a problem in economics on Exchange and Specialization. Please help me in getting the right answer from the following question. Sarah the wheat farmer would be most probable to trade for fruit from the Kathy's orchard if: (i) Sarah's opportunity

    		•
  • Q : Entrepreneurs and business are at the

    Explain the statements: Entrepreneurs and business are at the helm of the economy.

    		•
  • Q : How can we evaluate cost of capital How

    How can we evaluate cost of capital?

    		•
  • Q : Fiscal Policy Fiscal Policy : Public or

    Fiscal Policy:Public or government finance is a field of economics. This deals with budgeting the revenues and expenditures of government (i.e., or public sector). It is regarding the identi

    		•