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

Macro, supply and demand

supply and demand

Gdp, Suppose that investment spending increases by $10 million, shifting up...

Suppose that investment spending increases by $10 million, shifting up the aggregate expenditure line and increasing GDP from GDP1 to GDP2. If the MPC is 0.9, then what is the chan

Explain advantage and comparative advantage differ, 1. Explain how abs...

1. Explain how absolute advantage and comparative advantage differ? 2. Give an example in which a person has an absolute advantage in doing some thing but another pers

Tropospheric pollution or Air pollution, Air is one of the important consti...

Air is one of the important constituent in the environment that is prone to pollution. Pollution of air refers to that part of atmosphere which is very nearest to the earth’s surf

Marginal revenue productivity, to what extent does Marginal revenue product...

to what extent does Marginal revenue productivity theory explain wage determination in Zimbabwe

Market supply, #quUse a graphical illustration to describe briefly what the...

#quUse a graphical illustration to describe briefly what the influence of each of the following would be on the market supply of labor:(a) an increase in immigration (b) more women

Taxes, Smoking cigarettes is a leading cause of many diseases

Smoking cigarettes is a leading cause of many diseases

Indifferentces curve, using the tools of an indifference curve and isoquent...

using the tools of an indifference curve and isoquent, highlight on consumption and production in business economics.

Simple human capital model, Question 1: i) Use a simple human capital m...

Question 1: i) Use a simple human capital model to explain the rationale for undertaking higher education. ii) Why do some people vary significantly in the amounts of human

Test, how much for taking a test

how much for taking a test

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