Trigger strategy - self sustainable, Microeconomics

Assignment Help:

Consider an infinitely repeated prisoner's dilemma game by two players. The resultant payoffs at each stage by the actions of two players are given below in the table (payoffs are denoted like (payoff for player 1, payoff for player 2)). Two players determine their strategies simultaneously and independently to maximize expected payoffs of their own based on their information. The game is potentially infinitely repeated, however, the game ends at a probability of 1-x (0≤1-x≤1) in every stage (that is, these players continue to play this game at the probability of x). There is no discount rate for future payoffs (i.e. both players weight current and future payoffs equally).

 

player 2

C

D

player 1

C

(9,9)

(1,13)

D

(13,1)

(3,3)

 

(a) Suppose two players adopt a Trigger Strategy (Play C in the first stage. In the tth stage (t≥2), if the outcome of all t-1 preceding stages has been (9, 9), then play C; otherwise, play D). Find the range of x which makes cooperation self-sustainable.

(b) Suppose two players adopt a Tit for Tat Strategy (TFT) (Play C in the first stage. And then, do whatever the other player did at the previous stage). Find the range of x which makes cooperation self-sustainable.


Related Discussions:- Trigger strategy - self sustainable

What is the difference between capital and capital value, What is the diffe...

What is the difference between 'Capital' and 'Capital value'?   "The total amount of money or other resources owned or used to obtain future income or benefits." On the other h

What is tradeable product, Q. What is Tradeable product? Tradeable:A pr...

Q. What is Tradeable product? Tradeable:A product (a service or good) is tradeable if its purchaser can purchase it far away from the place where it is produced. Most goods (ot

What is international monetary fund, Q. What is International Monetary Fund...

Q. What is International Monetary Fund? International Monetary Fund: An international financial institution established after World War II with the goal of stabilizing and regu

Marginal product theory, Marginal Product Theory a.    What is the MC ...

Marginal Product Theory a.    What is the MC of output in the short-run? b.    What is the MC of labor (employed)? c.    What is the short-run profit-maximizing decision

Clean auto Inc, CleanAuto Inc. has four workers: Julie, Ian, Devon, and Tho...

CleanAuto Inc. has four workers: Julie, Ian, Devon, and Thomas. CleanAuto Inc. provides two services: interior vacuuming and exterior wash. Julie can perform each of these tasks in

Depreciation tax shield, Depreciation T ax Shield The decr...

Depreciation T ax Shield The decrease in corporate income taxes suitable to the deductibility of depreciation from the firm's taxable earnings.  Although depreciat

CIE October November 2007 paper one, i''m">http://papers.xtremepapers.com...

i''m">http://papers.xtremepapers.com/CIE/Cambridge%20International%20A%20and%20AS%20Level/Economics%20%289708%29/9708_w07_qp_1.pdf i''m finding question 13 difficult to comprehen

Programming and input-output models, Normal 0 false false f...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

Describe the role of capital in modern productive system, Production withou...

Production without capital is hard for us even to imagine. Nature cannot furnish goods and materials to man unless he has the tools and machinery for mining farming forestry fishin

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd