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

Investment in flood control infrastructure - present value, 1. An investmen...

1. An investment in flood control infrastructure  today will generate $1,000,000 in benefits 10 years from today. Using a 3% discount rate what is the present value of these benefi

Why a high level of labor force growth is correlated, Why a high level of l...

Why a high level of labor force growth is correlated A high level of labor force growth is correlated--even though less powerfully--with a low level of output per worker. The a

Keynesian cross, explain how the keynesian cross shows that the economy is ...

explain how the keynesian cross shows that the economy is susceptible to self-fulfilling prophesies, either positive or negative

Unemployment rate, Unemployment Rate A measure of labor force utilizati...

Unemployment Rate A measure of labor force utilization the unemployment rate is equal to the number of people which is unemployed as a percentage of the total labor force.

TAXATION, WITH reference to incidence taxation,explain with the help diagra...

WITH reference to incidence taxation,explain with the help diagrams,who bears the incidence of taxation when the demand for a commodity is perfectly inelastic, perfectly elastic an

Pure monopoly, Pure Monopoly: Pure monopoly examined the market struct...

Pure Monopoly: Pure monopoly examined the market structure that is generally regarded as the polar opposite of perfect competition – i.e. the monopoly model. Like the perfect

What is diffusion and effusion of gases , what is diffusion and effusion of...

what is diffusion and effusion of gases? Describe Graham''s law of diffusion, effusion. Diffusion of gases While during two gases are brought together they mix with each other in

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