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

Managerial Economics, What does economic theory contribute to managerial ec...

What does economic theory contribute to managerial economics? Explain

Policies for technological advance, Policies for Technological Advance ...

Policies for Technological Advance Without better technology, increases in capital stock generated by investment rapidly run into diminishing returns. And without improvements

What are the factors of production, Factors of Production :   The factors o...

Factors of Production :   The factors of production are the resources that are essential for production. They are usually separated into 4 dissimilar groups: Land - all natu

Economic growth, Summarize the four supply factors in economic growth.

Summarize the four supply factors in economic growth.

Simple human capital model, Question 1: i) Use a simple human capital m...

Question 1: i) Use a simple human capital model to explain the rationale for undertaking higher education. ii) Why do some people vary significantly in the amounts of human

Product differentiation, Question: Product differentiation and entry/exit ...

Question: Product differentiation and entry/exit Two differentiated goods, apples and oranges, are located at the two extremes of a linear product space (a segment of length 1)

Indifference curve, What is indifference curve and its properties?

What is indifference curve and its properties?

Economics, Calculate point elasticity of demand for demand function Q=10-2p...

Calculate point elasticity of demand for demand function Q=10-2p for decrease in price from Rs 3 to Rs 2

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