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

Economic growth, In his 2009 budget proposal for the U.S., President Obama ...

In his 2009 budget proposal for the U.S., President Obama wrote, "Unfortunately, we are also inheriting the worst economic crisis since the Great Depression which will force us to

Perfect Competition, Consider the market for Kitty Litter. Assume this ind...

Consider the market for Kitty Litter. Assume this industry is purrfectly competitive and is presently in long-run equilibrium. Suppose people begin to prefer Dogs as pets and Cat

Consumer choice, Suppose a family earns £1,500 per month and can either pay...

Suppose a family earns £1,500 per month and can either pay £0.50 per square foot in monthly rent for an apartment in the private rental market, or accept a 1,500 square foot house

Macroeconomics, if nominal GDP in 2002 exceeds nominal GDP in 2001, did rea...

if nominal GDP in 2002 exceeds nominal GDP in 2001, did real output rise?

The market supply of labour, graphical illustration describing the influenc...

graphical illustration describing the influence of an increase in immigrants on the market supply of labour

Change in the rate of population growth, Should the manufacture, supply and...

Should the manufacture, supply and use of tobacco be criminalised? Provide arguments for and/or against (relates to defining crime; concepts of deviance etc) Examine t

Rent, quasi rent theory

quasi rent theory

Asian development bank, ASIAN DEVELOPMENT BANK; In addition to the Wor...

ASIAN DEVELOPMENT BANK; In addition to the World Bank family, there are three other international lending agencies operating only in specific geographical area, but run on lin

Price floor , Suppose that the U.S. Department of Agriculture (USDA) admini...

Suppose that the U.S. Department of Agriculture (USDA) administers the price floor for cheese, set at $0.17 per pound of cheese. (The price floor is officially set at $16.10 per hu

Parameters for assessing economic reforms, PARAMETERS FOR ASSESSING ECONOMI...

PARAMETERS FOR ASSESSING ECONOMIC REFORMS: Let it be clearly understood that liberalisation, privatisation and globalisation are means with the help of which the growth proces

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