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

Rationale for the intervention of government, 1. Describe why government re...

1. Describe why government regulation is required, citing the major reasons for government involvement in a market economy. 2. Justify the rationale for the intervention of gove

What are the properties of the profit function, What are the properties of ...

What are the properties of the profit function? Properties of the Profit Function: The properties specified below follow solely by the assumption of profit maximization. No

Resource market complications, Over the course of modern American economic ...

Over the course of modern American economic history there have been market failures, various social problems, and other complexities that have resulted in certain resource markets

Investment in flood control infrastructure - present value, 1. An investmen...

1. An investment in flood control infrastructure  today will generate $1,000,000 in benefits 10 years from today. Using a 3% discount rate what is the present value of these benefi

Elasticity, What are the uses of elasticity’s to the public sector and priv...

What are the uses of elasticity’s to the public sector and private sector?

Oligopoly, what are the factors causing oligopoly market?

what are the factors causing oligopoly market?

Deductive and inductive methods, what are the merits and demerits of deduct...

what are the merits and demerits of deductive inductive methods in economic analysis?

Cost functions for the electric power sector, Cost Functions for the Electr...

Cost Functions for the Electric Power Sector Scale Economies in the Electric Power Industry Average Cost of Production in Electric Power Industry * Findings -

Iso, what is an iso curve

what is an iso curve

Individual demand curve - effect of price change, Individual Demand * T...

Individual Demand * The Individual Demand Curve  - Two significant Properties of Demand Curves - 1) The level of utility which can be attained changes while moving along

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