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

Population census, Population census: A population census is the head ...

Population census: A population census is the head count of people living in a geographical area or in a country. A population census collects comprehensive data on people to

Profits, explain normal profits

explain normal profits

Production function, firm''s product sells for Rs.200 per unit in a highly ...

firm''s product sells for Rs.200 per unit in a highly competitive market. The firm produces output using capital (which it rents at Rs.7500 per hour) and labor (which is paid a wag

Inflation and unemployment, Inflation And Unemployment: Inflation desc...

Inflation And Unemployment: Inflation describes a persistent and an appreciable increase in the general price level. The inflation rate is measured as a percentage change in a

Graph, americana is a small country that produces and consumes jelly beans....

americana is a small country that produces and consumes jelly beans. The world price of jelly beans is $1 per bag, americana''s demand and supply for jelly beans are governed by th

Stoichiometry, 2ALBr3+3K2so4--->6KBr+1Al2(so4)3

2ALBr3+3K2so4--->6KBr+1Al2(so4)3

Describe about capitalism, Q. Describe about Capitalism? Capitalism: An...

Q. Describe about Capitalism? Capitalism: An economic system in that privately-owned businesses and companies undertake most economic activity (with the goal of generating priv

Durability of the commodity, Durability of the Commodity: With some comm...

Durability of the Commodity: With some commodities, we require one at a time and they are used for a very long time before they get spoilt. Examples of such goods are cars, tele

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