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

Arbitration, Arbitration The use of a third party to describe between ...

Arbitration The use of a third party to describe between two sides dead locked in a negotiation. The arbitrator's decision can be binding or not binding, as before agreed upon

Calculate the profit maximizing price, Suppose you have 10 individuals with...

Suppose you have 10 individuals with values {$1, $2, $3, $4, $5, $6, $7, $8, $9, $10}.  Your marginal cost of production is $2.50.  What is the profit-maximizing price?  Using this

Chapter 7, a firm has fixed costs of $60 and variable costs as indicated at...

a firm has fixed costs of $60 and variable costs as indicated at the bottom of this page. complete the table and check your calculations

Firms in a competitive markets, illustrate a long-run equilbrium using diag...

illustrate a long-run equilbrium using diagrams for the gold market and for a representative gold mine

Production, factors that affects the volume of production

factors that affects the volume of production

Discuss about modern economic growth, Discuss about Modern economic growth ...

Discuss about Modern economic growth Modern economic growth is also a shift in the kinds of things we do at work and play and in the way we live. Back in immediate aftermath of

Chapter four, what is the relation ship between mp,tp,ap

what is the relation ship between mp,tp,ap

Marginal output, If the marginal product of labor is 45 units of output and...

If the marginal product of labor is 45 units of output and the marginal products of capital is 56 units of output while the wage rate is $20 per worker and the cost of capital is $

Rent, what is modern theory

what is modern theory

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