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

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

Definition, the definition of exceptional supply curve

the definition of exceptional supply curve

Cost function, what are the properties of cost function

what are the properties of cost function

Theory., ExplainBainlimitpricetheory

ExplainBainlimitpricetheory

Trade and economic growth , TRADE AND ECONOMIC GROWTH : Foreign trade ...

TRADE AND ECONOMIC GROWTH : Foreign trade has worked as an 'engine of growth' in the past (witness Great Britain in the 19th century and Japan in the 20th, besides others), an

The concept of consumer surplus, consumer surplus and elasticity of demand ...

consumer surplus and elasticity of demand assumption of consumer surplus criticisms of consumer surplus consumer surplus in terms of indifference curves importance of the concept o

What is hicksian demand function, What is Hicksian demand function? Hic...

What is Hicksian demand function? Hicksian Demand Function: The solution of expenditure function that is the function of (p, u) is denoted by h(p, u) and termed as the Hicks

Calculate the annual cost to entire industry from closures, 1.  National Ma...

1.  National Marine Fisheries Service is considering closing a large area of federal waters to fishing in Alaska due to negative interactions of fishing with endangered Steller sea

Work of denison, Work of Denison Normal 0 false fa...

Work of Denison Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

Economic growth, In his 2009 budget proposal for the U.S., President Obama ...

In his 2009 budget proposal for the U.S., President Obama wrote, "Unfortunately, we are also inheriting the worst economic crisis since the Great Depression which will force us to

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