--%>
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 : Answer the following questions based on

    The dataset used in this question contains data on 180 economics journals for the year 2000. The variable descriptions are as follows: logoclc - log of the number of library subscription loglibcit - log of the library subscription price per citation.

  • Q : Entertainment tax-Indirect tax Why

    Why entertainment tax comes in indirect tax? Answer: Since its burden can be shifted to others.

    		•
  • Q : Illustrate Measuring unemployment

    Illustrate Measuring unemployment?

    		•
  • Q : Determine the productively efficiency

    To be productively efficient, a country should: (w) maximize the satisfaction attainable from its budget. (x) be concerned only with macroeconomic analysis. (y) concentrate on removing scarcity. (z) maximize the value of output produced through specif

    		•
  • Q : Question 7 Question 7: You are given

    Question 7: You are given the following data about two firms: FIRM A Quantity 0 1 2 3 4 5 6 Total revenue ($) 0 10 20 30 40 50 60 Average revenue ($) ___ ___ ___ ___ ___ ___ ___ Marginal revenue ($) ___ ___ ___ ___ ___ ___ Total cost ($) 30 42 50 60 76 100 14

    		•
  • Q : Illustrate Market Equilibrium of Supply

    Illustrate Market Equilibrium of Supply and Demand?

    		•
  • Q : Different types of leverages in

    Write down the different types of leverages which are computed for financial analysis?

    		•
  • Q : Supply and demand at tax burdens and

    The new supply and demand curves within University City are S0 and D0. But after the county commission imposed at $3 per six-pack excise tax upon beer: (w) beer sellers' revenue after taxes decreases by $60,000 monthly. (x) buyers and sellers eac

    		•
  • Q : Case of arbitrage while selling and

    Assume that melons sell for $5 in Brazil when moose pelts sell for $10, still into Canada melons sell for $10 as well as moose pelts sell for $5. A person who buys moose pelts within Canada to sell into Brazil would be doing: (1) speculation. (2) the “invisible

    		•
  • Q : Explain the behavior of the workers Use

    Use the economic perspective to explain the behavior of the workers?  Why do they work so diligently?