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

Solve for the bayesian nash equilibrium, Consider the Cournot duopoly model...

Consider the Cournot duopoly model in which two rms, 1 and 2, simultaneously choose the quantities they will sell in the market, q 1 and q 2 . The price each receives for each uni

Payoff, In any game, payoffs are numbers that represent the motivations of ...

In any game, payoffs are numbers that represent the motivations of players. Payoffs might represent profit, quantity, "utility," or different continuous measures (cardinal payoffs)

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

Proxy bidder , A proxy bidder represents the interests of a bidder not phys...

A proxy bidder represents the interests of a bidder not physically gift at the auction. Typically, the bidder can inform his proxy of the most quantity he's willing to pay, and als

Dominant strategy equilibrium, The following is a payoff matrix for a non-c...

The following is a payoff matrix for a non-cooperative simultaneous move game between 2 players. The payoffs are in the order (Player 1; Player 2): What is the Dominant Strat

Backward induction, Backward induction is an iterative procedure for resolv...

Backward induction is an iterative procedure for resolving finite general form or sequential games. First, one decides the finest policy of the player who makes the last move of th

Nova, how do tron legacy made?

how do tron legacy made?

Nash equilibrium, A Nash equilibrium, named when John Nash, may be a set of...

A Nash equilibrium, named when John Nash, may be a set of methods, one for every player, such that no player has incentive to unilaterally amendment her action. Players are in equi

Bid rigging, A practice analogous to price fixing in which auction members ...

A practice analogous to price fixing in which auction members form a ring whose associates agree not to bid against each other, either by discarding the auction or by placing phony

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