Payoff matrix, Game Theory

Assignment Help:

1. The publishing industry in the country of Font, where the local currency is the stet, is dominated by two companies, the Arial Book Co. and Verdana Works Ltd.. Currently, both of these companies rely on the sales of paper books to earn profits.

Recent trade figures published by the central government of Font have shown that there are an increasing number of e-readers being imported into Font. Owners of these e-readers then import e-books from the neighbouring country of Calibri. The management of both Arial and Verdana are now considering the publishing of e-books.

Arial has determined that if they start publishing e-books they will make a profit of 6 million stets per year if Verdana does not publish e-books and 5 million stets per year if Verdana does publish e-books. If they do not go into the e-book market, Arial feels that they will still make a profit of 1 million stets per year if Verdana does publish e-books and a profit of 2 million stets per year if Verdana does not publish e-books.

Verdana, on the other hand, has estimated that if they start to publish e-books, they will make a profit of 4 million stets if Ariel does not publish e-books and 3 million stets if Ariel does publish e-books. If they do not go into the e-book market, Verdana feels that they will make a profit of 1 million stets per year if Arial does publish e-books and a profit of 1.5 million e-books if Arial does not publish e-books.

a. Complete the payoff matrix below.

 

 

 

Arial Book Co.

 

 

Publish e-books

Not publish e-books

 

Verdana Works Ltd.

Publish e-books

Arial ______ stets

Verdana ____stets

 

Arial _____ stets

Verdana ____stets

 

 

Not publish e-books

Arial ______ stets

Verdana ____stets

Arial ______ stets

Verdana ____stets

b. Which strategy will Arial Book Co. follow? Will they decide to publish e-books, or not publish e-books? Is this a dominant strategy? Explain briefly.

c. Which strategy will Verdana Works Ltd. follow? Will they decide to publish e-books, or not publish e-books? Is this a dominant strategy? Explain briefly.

d. What is the Nash equilibrium? Is this a prisoner's dilemma? Explain briefly.

A well-liked Fontian author, Bodini Cambria, has just been awarded a prestigious international literary honour. In the past, whenever a Fontian author has been awarded this honour, there has been a marked increase in the sales of that author's previous publications and the next book which is published has always had higher sales than any of the author's previous works. This year, Ms. Cambria has a new book ready for publication but she is insisting that it be published by a publishing house which only publishes paper books, not e-books. In the past, Ms. Cambria has had books published by both Arial and Verdana. Arial and Verdana have both estimated that whichever publishing house negotiates the publishing rights to Ms. Cambria's new book will gain an additional 3 million stets in the coming year.  Ms. Cambria realises that this is probably the last book which she will write in her career, so is prepared to share the benefits from its publication between Arial and Verdana if neither of them publish e-books.

e. Using this new information, complete the payoff matrix below.

 

 

Arial Book Co.

 

 

Publish e-books

Not publish e-books

 

Verdana Works Ltd.

Publish e-books

Arial ______ stets

Verdana ____stets

 

Arial _____ stets

Verdana ____stets

 

 

Not publish e-books

Arial ______ stets

Verdana ____stets

Arial _____ stets

Verdana ___stets

 

f. With this new information, which strategy will Arial Book Co. follow? Will they decide to publish e-books, or not publish e-books? Is this a dominant strategy? Explain briefly.

g. With this new information, which strategy will Verdana Works Ltd. follow? Will they decide to publish e-books, or not publish e-books? Is this a dominant strategy? Explain briefly.


Related Discussions:- Payoff matrix

Fighting for survival, Two animals are fighting over a prey. The prey is wo...

Two animals are fighting over a prey. The prey is worth v to each animal. The cost of fighting is c1 for the first animal (player 1) and c2 for the second animal (player 2). If the

Write two methods for the mouse trap game, Write two methods for the mouse ...

Write two methods for the mouse trap game (using your board created in Assignment 3) and an event handler (another method) to test the two methods. 1. world.raise(item) where

Evolutionary games, How much time you want to spend on this material willde...

How much time you want to spend on this material willdepend on the focus of your course. For many social sciencecourses, a general exposure to the ideas, based on a quick runthroug

Game:adding numbers—lose if go to 100 or over (win at 99), GAME Adding Numb...

GAME Adding Numbers—Lose If Go to 100 or Over (Win at 99)   In the second ver- sion, two players again take turns choosing a number be- tween 1 and 10 (inclusive), and a cumulati

Personal theory of international trade, I have an assignment in which I hav...

I have an assignment in which I have to invent a new international trade theory. For me, the absolute advantage of Adam Smith is really good, and I want to find a solution if a cou

Maximization problem, Two individuals (i ∈ {1, 2}) work independently on a ...

Two individuals (i ∈ {1, 2}) work independently on a joint project. They each independently decide how much e ort ei they put. E ort choice has to be any real number between 0 and

Full equilibrium strategy example, (a) A player wins if she takes the tota...

(a) A player wins if she takes the total to 100 and additions of any value from 1 through 10 are allowed. Thus, if you take the sum to 89, you are guaran- teed to win; your oppone

Kakutani, Twentieth century mathematician who expanded on earlier fastened ...

Twentieth century mathematician who expanded on earlier fastened purpose theorems. a hard and fast purpose theorem defines the conditions on a perform, f(x), beneath that there exi

Straight auction, A common term for an English auction, a sort of sequentia...

A common term for an English auction, a sort of sequential auction during which an auctioneer directs participants to beat the present, standing bid. New bids should increase the p

Identify the pure strategy equilibria, Consider the following three games (...

Consider the following three games (Chicken, Matching Pennies, Stag Hunt): Chicken Player 2 Player 1 D V D -100;-100 10;-10 V -10; 10 -1;-1 Matching Pennies Pla

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