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

Market supply of labour, #quesUse a graphical illustration to describe brie...

#quesUse 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 wom

Draw a supply or demand diagram of the treasury bond market, 1) A) Suppose ...

1) A) Suppose that several months of data showed the CPI increasing at a 4.5% annual rate due largely to increases in the price of energy and food related commodities following sev

Concepts used in macroeconomic analysis, what is ratios GNP? what is use of...

what is ratios GNP? what is use of models in macroeconomics?

Determine the oldest ideas in economics, Determine the oldest ideas in econ...

Determine the oldest ideas in economics One of the oldest ideas in economics is that increases in technology certainly run into natural resource scarcity and so lead to increas

Theory of second best, What is the theory of Second Best? Prove the theore...

What is the theory of Second Best? Prove the theorem with the help of a diagram.

Private, Question: (a) Using an example, differentiate between private...

Question: (a) Using an example, differentiate between private, social and external costs and benefits. (b) With the use of a diagram, describe the difference between profi

Gift giving etiquette, Manners of reaching to someone's place with a presen...

Manners of reaching to someone's place with a present of anything like flowers, chocolates, etc. In U.S., it's not feel good to give flowers to women by men. If a man giving some g

Describe customer-firm relationship, Question 1: "The rush of new and e...

Question 1: "The rush of new and existing enterprises to exploit the opportunities presented by the internet economy is giving rise to new business models". Discuss. Ques

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