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

Human numbers grew as the population after 1800, Human numbers grew as the ...

Human numbers grew as the population after 1800 After 1800, human numbers grew as the population explosion took hold. It carried our entire population to 6 billion in October 1

Network externalities, NETWORK EXTERNALITIES Till this point we have as...

NETWORK EXTERNALITIES Till this point we have assumed that people's demands for good are independent of each other. Actually, a person's demand can be affected by the number

Supply and demand, During the 1990s, technological advance reduced the cost...

During the 1990s, technological advance reduced the cost of computer chips. Explain, with the use of supply and demand diagrams, how the following markets are affected in terms of

Production possibilities curve, what happen when a new resources has been d...

what happen when a new resources has been discovered for computer

Williamson''s managerial discretion., how is price and output equilibrium d...

how is price and output equilibrium determined in Williamson''s model of managerial discretion?

Economics 304 , 1. Implicit and explicit revenues minus implicit and explic...

1. Implicit and explicit revenues minus implicit and explicit costs equals: A. accounting profit. B. economic profit. C. zero profit. D. implicit profit. 2. A business owner mak

Terms of trade, Terms of Trade: The ratio of average price of a country's e...

Terms of Trade: The ratio of average price of a country's exports, to average price of its imports, is its terms of trade. Theoretically an improvement in a country's terms of trad

Basic calculus technique, Suppose that the total revenue function of a firm...

Suppose that the total revenue function of a firm is given by TR(q) = 120q - 2q^2, where q is the level of output. Find the level of output q that will maximize the firm’s total re

Equalibrian, Imagine a country where plane and train services between two m...

Imagine a country where plane and train services between two main cities are both provided by private companies, and, from a consumer perspective these services are viewed as subst

Problems of population census, Problems of population census: High ...

Problems of population census: High Cost of Census: Censuses are supposed to be conducted at a 10 year interval. The high cost of conducting census has made it impossibl

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