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

Social cost of monopoly, Price Discrimination: occurs when the same produc...

Price Discrimination: occurs when the same product is sold at different prices to different consumers. A monopolist divided his consumers into groups and sells his product at vary

Determine he combined production of fiber optic cable , Graph the following...

Graph the following example and answer the questions: The United States and Japan only produce two goods.  They have the same fixed resources and they are equally efficient, and bo

Neer vs reer, NEER Vs REER: In a situation where there are multiple tr...

NEER Vs REER: In a situation where there are multiple trade partners, the effect of cross-currency movements are judged by nominal effective exchange rate (NEER) and real effe

Uses of national income statistics, Uses of national income statistics: ...

Uses of national income statistics: - It helps to organize economic data and activities. - It helps to classify economic activities into various segments or sectors. - It he

Insurance market - full coverage insurance, There are two individuals in to...

There are two individuals in town, one is high risk and the other is low risk. 1 The probabilities of having an accident for the low risk individual and high risk individual are p

Barometric forecasting, It is also known a sleadig indicators forecasting N...

It is also known a sleadig indicators forecasting National Bureau of Economic Research of U. S.A has identified three types of indicate Leading indicators coincidental indicators a

Monopsony, advantages and disadvantages

advantages and disadvantages

Rent control, Assume that the market equilibrium rent for two-bedroom apart...

Assume that the market equilibrium rent for two-bedroom apartments in Santa Monica, California is $1500 per month and the quantity is 40,000 units. The city council of Santa Monica

Materials requirements calculations - mrp system, Materials Requirements Ca...

Materials Requirements Calculations - MRP System MRP is a computer-based 'engine' which carries out calculations in order to determine:  What is needed, and When i

Finding concavity, my q is dat how can we find mathematically dat a product...

my q is dat how can we find mathematically dat a production function is concave?

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