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

Find a bayesian nash equilibrium, In Bontemps, Louisiana there are only two...

In Bontemps, Louisiana there are only two places to spend time: Merlotte's bar and Fangtasia. Sookie and Eric have made plans to spend Friday night together, but they never decided

equilibrium refinement, An equilibrium refinement provides how of choosing...

An equilibrium refinement provides how of choosing one or many equilibria from among several in a very game. several games might contain many Nash equilibria, and therefore supply

Consolidation, For the section on dynamic games of competition, you can beg...

For the section on dynamic games of competition, you can begin by asking if anyone in the class has played competi- tive tennis (club or collegiate or better); there is usually one

Combining simultaneous and sequential moves, Combining Simultaneous and...

Combining Simultaneous and  Sequential Moves The material in this chapter covers a variety of issues that require some knowledge of the analysis of both sequential- move

Quiz to generate a grid, 1.a.out 2 1 Here is the grid that has been gene...

1.a.out 2 1 Here is the grid that has been generated: 1 1 1 0 0 0 0 0 1 1 0 1 0 0 1 1 1 1 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 1 1 1 1 1 0 1 0 1 1 0 1 0 1 1 1 0

Sealed bid auction, An auction during which bidders simultaneously submit b...

An auction during which bidders simultaneously submit bids to the auctioneer while not information of the number bid by different participants. Usually, the very best bidder (or lo

Procurement auction, A market mechanism during which an object, service, or...

A market mechanism during which an object, service, or set of objects is being purchased, instead of sold, to the auctioneer. The auction provides a selected set of rules which wil

Evolutionary game theory, Evolutionary game theory provides a dynamic frame...

Evolutionary game theory provides a dynamic framework for analyzing repeated interaction. Originally modeled when "natural models" of fitness, a population might contains folks gen

Non-cooperative game , A non-cooperative game is one during which players a...

A non-cooperative game is one during which players are unable to form enforceable contracts outside of these specifically modeled within the game. Hence, it's not outlined as games

Mba , in a rectangular game pay off matrix of player a is as follows B1 B2 ...

in a rectangular game pay off matrix of player a is as follows B1 B2 A1 5 7 A2 4 0 salve the game write down the pay off matrix of B and then solve the game.

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