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

International econonics, Strictly give the diff. btw the theory of reciproc...

Strictly give the diff. btw the theory of reciprocal demand & theory of comparative advantage

Quantity pricing, 1. Sam Smith owns an internet radio company that has subs...

1. Sam Smith owns an internet radio company that has subscribers in Houston and Dallas. The demand functions for the 2 markets are: Q(Houston) = 50-0.35P(Dallas) Q(Dallas) = 80-0.

Detergent Cartel problem, 2) Proctor & Gamble (P&G) and the Lever Co. decid...

2) Proctor & Gamble (P&G) and the Lever Co. decide to form a laundry detergent cartel for future sales in Europe. Lever is more efficient than P&G. a)illustrate graphically how the

Theory of multiplier, income generation in a static and dynamic setting

income generation in a static and dynamic setting

World bank, WORLD BANK: The World Bank group is a partner in opening m...

WORLD BANK: The World Bank group is a partner in opening markets and strengthening economies. Its goal is to improve the quality of life and expand prosperity for people every

Explain planned economies in providing welfare for citizens, Assess whether...

Assess whether market economies have been more successful than planned economies in providing welfare for citizens. The student is expected to outline some of the basic issues

Asian development bank, ASIAN DEVELOPMENT BANK; In addition to the Wor...

ASIAN DEVELOPMENT BANK; In addition to the World Bank family, there are three other international lending agencies operating only in specific geographical area, but run on lin

Regression methods, This is a very common methods of forecasting demand. Un...

This is a very common methods of forecasting demand. Under this methods a relationship is established between quantity demanded( dependent variable) and independent variables such

Discuss a minimum three services for older person, Mrs Holt, 85 years old, ...

Mrs Holt, 85 years old, has been admitted to acute care following a fall resulting in a fractured femur. She is a widow and lives alone with her three cats for company. a) What

Transactions and propose at least two strategies, a) Examine at least three...

a) Examine at least three (3) possible areas for the industry that could lead to transaction costs, and describe each in detail.   b) Speculate about the behaviour that could

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