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

Economics for you, How to solve economics assignment help?

How to solve economics assignment help?

Help, 1. Select a data series that you wish to forecast. Make sure that it ...

1. Select a data series that you wish to forecast. Make sure that it has some importance to you relative to business, future occupation or other special interest. Obtain monthly or

What is the macroeconomics, What is the Macroeconomics? Macroeconomics...

What is the Macroeconomics? Macroeconomics is study about the aggregate behavior of the economy like how the actions of all the individuals and firms within the economy intera

Case study on exceptions to the law of demand., can i get a case study on s...

can i get a case study on share market or any other company about their exceptions to the law of demand?

How can create more accurate measurements of development, Why and how are e...

Why and how are economists attempting to create more accurate measurements of development? The why part is simply because of the complexities built-in to the concept of develop

Agricultural growth and productivity trends, AGRICULTURAL GROWTH AND PRODUC...

AGRICULTURAL GROWTH AND PRODUCTIVITY TRENDS: Despite a steady decline in the share of agriculture in the Gross Domestic Product (GDP) of India, this sector continues to remain

Define the circular flow diagram, The circular flow diagram is used to repr...

The circular flow diagram is used to represent the interdependence that exists between sectors of the economy.  The diagram illustrates that there are various collections of same e

Describe the labour market information, Question 1: a) Describe the lab...

Question 1: a) Describe the labour market Information. b) What are the basic factors that affect the labour market trend? c) Explain the influence of these factors on th

How to calculate the cpi index, When measuring price levels in the economy ...

When measuring price levels in the economy (such as when calculating the CPI index), why is a weighted average used? Because we require giving greater emphasis to prices at whi

Significance of stagnation in supply and demand calculus, Significance of S...

Significance of Stagnation in Supply and Demand Calculus Stagnation refers to failures of students in a grade/class or grade repetition. The objective of a course is to make c

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