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

Econ question, ref article :http://www.economist.com/news/finance-and-econo...

ref article :http://www.economist.com/news/finance-and-economics/21587795-if-congress-fails-lift-limit-americas-debts-consequences-are   a.assume that the debt ceiling crisis

Use arc elasticity to find the price elasticity of demand, Elasticity- a...

Elasticity- a) The price of good X goes up by 2.75%, the quantity demanded of good Y goes from 10,500 units to 25,000.  What is the Exy?  What does that number mean?  What is th

International bank for reconstruction and development, INTERNATIONAL BANK F...

INTERNATIONAL BANK FOR RECONSTRUCTION AND DEVELOPMENT: The main function of the IBRD is of long-term capital assistance to its member-countries for their reconstruction and de

Proportion of workers, Proportion of Workers in Organised and Unorganised W...

Proportion of Workers in Organised and Unorganised Workers: Increasing share of employment in unorganised sector reflect the deterioration in the quality of employment because

Microenconomics 3, Output 0 Fixed cost $100 Varaible Cost 40 what is the T...

Output 0 Fixed cost $100 Varaible Cost 40 what is the Total cost and Total revenue also the Profit/Loss

What are price ceilings and price floors, 1. Explain what are price ceiling...

1. Explain what are price ceilings and price floors and how they effect the market for a good or service. Also show through graphs, if they cause any inefficiencies in a perfectly

Production, explain 6 factors that determine volume of production

explain 6 factors that determine volume of production

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