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

Explain how oligopolies can work, Explain how oligopolies can work both for...

Explain how oligopolies can work both for and against consumers. Oligopolies market power can of course work against consumers - as price-setting and any form of collusion will

What is the difference between gdp and gnp, What is the difference between ...

What is the difference between GDP and GNP?  Gross domestic product (GDP) is the value of the total final output formed inside a country, during a given year. GDP, like all mea

Draw an indifference curve for consumption, Draw an indifference curve for ...

Draw an indifference curve for consumption and hours of work. (Hint: in class we discussed indifference curves for consumption and hours of leisure, this is different.)

National income determination, National Income Determination: National...

National Income Determination: National Income Determination deals with what determines the size of a nation’s national income. The size of a nation’s national income is deter

Bookseller, Nile.com, the online bookstore, wants to increase it''s total r...

Nile.com, the online bookstore, wants to increase it''s total revenue. One strategy is to offer a 10% discount on every book that sells. Nile.com knows it''s customers can be divid

Economic value, The monetary calculate of the welfare associated with the c...

The monetary calculate of the welfare associated with the change in the provision of some good. It is not to be confused with monetary value, unless the latter is explicitly desig

Duality, duality was used in comparative static approach in assessing the d...

duality was used in comparative static approach in assessing the direction of change on economic variables . Why do we need duality and under what condition may duality can''t be u

Question, Briefly discuss the components of macroeconomics system with suit...

Briefly discuss the components of macroeconomics system with suitable explanation

Production function curve, different types of production funtion and curve ...

different types of production funtion and curve given by different economist

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