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

Find the equilibrium price and quantity, 1. Assume that the market for whea...

1. Assume that the market for wheat is perfectly competitive. Suppose the demand curve for wheat is given by: QD = 200 – 2P where QD is the quantity demanded, in bushels, and P i

Cost curves, If the average variable cost curve is horizontal, what is the ...

If the average variable cost curve is horizontal, what is the shape of the short-run marginal cost curve? What shape would the short-run average cost curve be?

Why have these economies converged, Why Have These Economies Converged? ...

Why Have These Economies Converged? By and large economies which have converged are those which belong to OECD: the Organization for Economic Cooperation and Development that w

Explain consumer sovereignty, Explain consumer sovereignty and why it might...

Explain consumer sovereignty and why it might not be that extensive in real life. Explanation of consumer sovereignty Use of S/D model to show how changes in consumption pat

Identify the four institutional requirements of markets, Identify the four ...

Identify the four institutional requirements of markets. The four institutional needs of markets are:  Pprivate property, Social institutions of trust, Good physical i

Long run equilibrium - perfect competition, Long run equilibrium - Perfect ...

Long run equilibrium - Perfect competition: In the long-run, on the other hand, the firm in perfect competition is making normal profit or zero economic profit as shown in Fig

Theory of production and cost, 1.A firm producing Golf sticks has a prod...

1.A firm producing Golf sticks has a production function given by Q=2v(K L) In the short run, the firm’s amount of capital equipment is fixed at k = 100. The rental rate for k

Economic Question , 4) The prevention of major swings in economic activity ...

4) The prevention of major swings in economic activity can be handled most easily by the A. household sector B. business sector C. financial sector

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