Explore BrainMass

Game Theory

Payoff Matrix - Nash Equilibria

I do not understand this problem. Can you please help me? In the following payoff matrix, Player A announces that she will cooperate. Player B Defect Cooperate A: -1 A: 0.5 B:2 B:1 Cooperate Player

Game theory matrix problems

11. Two Hospitals are reviewing their market plans. They have to decide which types of specialties they will offer. They recognize that the competing hospital's actions will affect their business. As a result, each hospital has developed the following matrix provided the available market information. The following matrix d

Managerial Economics and Company Loss Decision

Please help. I'm studying oligopoly, monopolistic; as well as Cournot, Stackelberg and Bertrand models; as well as the Nash pricing game theory. Question: U.S. Airways experienced huge losses for several years in the 1990s, yet it continued to operate its fleets. Why didn't U.S. Airways shut down its operations to avoid the

Nash equilibrium / game theory

11. In a one-shot game, if you advertise and your rival advertises, you will each earn $5 million in profits. If neither of you advertise, your rival will make $4 million and you will make $2 million. If you advertise and your rival does not, you will make $10 million and your rival will make $3 million. If your rival advertises

Game theory

In repeated games, a strategy that involves attacking players that attack you and cooperating with players that cooperate with you is a 1. dominant strategy 2. nash equilibrium 3. Prisoners dilemma 4. tit-for-tat strategy

Game theory

In game theory, a dominant strategy refers to a choice: 1. that is the best response to the strategy selected by another player. 2. that is the best response regardless of the strategy selected by another player 3. that results in the player receiving a higher payoff than any other player. 4. All of the above are cor

Game Theory

Suppose that the firms in an oligopolistic market engage in a price war and, as a result, all firms earn lower profits. Game theory would describe this as what? an irrational strategy a prisoners' dilemma price leadership a contestable market

Firm A and B are battling for market share in two separate markets.

Firm A and B are battling for market share in two separate markets. Market I is worth $30 million in revenue; market II is worth $18 million. Firm A must decide how to allocate its three salespersons between the markets; firm B has only two salespersons to allocate. Each firm's revenue share in each market is proportional to

Short Problems About Nash Equilibrium

1. Miller Lite and Bud Light dominate the U.S. market for light beer. Each of them can choose whether to advertise or not advertise. If one firm advertises and the other does not, the firm doing the advertising gets a larger share of the market and higher profits. If both firms advertise, their market shares remain the same as

Game Theory

What is the meaning of tit-for-tat in game theory? (b) What conditions are usually required for tit-for-tat strategy to be the best strategy?

Microeconomics - The Game Theory

Ken and Gerard are roommates for a weekend and have succeeded in making their living quarters cluttered in very little time. Both would prefer to be in an uncluttered room, and if they both help to clean up each gets a utility of five. If one cleans and the other does not, the one who does not gets a utility of eight while the o

Nash Equilibrium and Games of Strategy

Try to Understand the Different Types of Strategy 4 - 5 Questions will be on mid-term. Use the below information for a study guide!! If you understand this type of game of strategy, you will do fine!! Also study the Prisoner's Dilemma (Already Understand) Note to Self: Continue to work on additional study guide materi


1.A strategy describes a. a complete specification of what a player will do under each contingency of playing the game. b. a single move that a player makes in the process of competing with a rival. c. the payoff that a player will receive only when there is a single possible outcome. d. the move made by a rival in a tit-f

Payoff Matrix

Figure 10-13 shows the payoff matrix for the only two auto dealerships in a community, Jim's Autos and Tim's Autos. The matrix shows the profits that each firm would earn from choosing either a low price or a high price. JIM'S AUCTIONS LOW PRICE

Game Theory

Please answer all questions 1. Time Magazine and Newsweek are two competing news magazines. Suppose that each company charges the same $5.00 price for their magazines. Each wants to maximize its sales given the $5.00 price. Each week, there are two potential cover stories. One is in politics. The other is on the economy. Sa

Consider the following game:

Game: C1 C2 C3 R1 3,2 2,1 1,a R2 2,2 b,4 0,2 R3 c,d 3,2 e,4 a) Give a condition on b such that R2 is strictly dominated by R1. b) Given that a) holds, find a condition on d such that C1 strictly dominates C2. c) Given that a) and b) hold, find conditions on a and c such that (R1, C1) is a Nash equilibrium. d) Give

Game Theory - Normal Form and Nash Equilibriums for Simultaneous Games

You have been offered the chance to participate in a Treasure Hunt game whose rules are as follows. THere are three coloured boxes: red, green and yellow. The game show host must hide a $100 bill in a box of his choice. You have the option of opening one and only one box/ If the money was hidden in that box, you win it. Otherwis

dominant strategy in this pricing game for Coa

1. Two firms, Coa, Inc. and Han, Inc., make up the entire aluminum industry and are interdependent competitors. This means that the payoffs to each firm depend on what the other firm does. Each firm faces a pricing choice—charge customers a limit price (lower) or a monopoly price (higher). The payoffs, or profits, to ea

Game theory, nash equilibrium, prisoner's dilemma

Below is a payoff matrix for Intel and AMD. In each cell, the first number refers to AMD's profit, while the second is Intel's. Is there a Nash Equilibrium? Is this an example of the Prisoner's Dilemma? Please see attached excel matrix.

Nash Equilibrium

Companies A and B are the only competitors in the market. Each has to decide what price to set for its product. Once prices are set, they cannot be changed for the year. Both firms set prices at the same time. The options for setting price are the same for both firms: $8,000 or $4,000. If Firm A and B both set price at $4,

Dominant Strategy Equilibrium and Nash Equilibrium

Suppose two firms, Firm Y, Inc., and Firm X, Inc., are locked in a bitter pricing struggle in the bottled water industry. In strategy A, pricing payoff matrix, Firm Y can choose a given row of outcomes by offering A price ("up") or B price ("down"). Firm X can choose a given column of outcomes by choosing to offer A price ("left

Nash Equlibrium

In the summer ECMBA has a group project. Students are assigned to two person groups that have to prepare a 25 point paper applying game theory to competitive strategy. If both students work they each receive a payout of $200. If one student works and one student shirks, the hard-working student receives a payout of $150 and t

Game Theory

An employee faces a review every year. He prefers to spend time preparing if he will be reviewed; otherwise he would prefer to use time elsewhere. The reveiwer prefers to review when the employee is unprepared. If the players match their actions (employee prepares and the reviewer reviews, or the employe doesn't prepare and

Nash Equilibrium: producing tennis balls

Suppose you are one of two producers of tennis balls. Both you and your competitor have zero marginal costs. Total demand for tennis balls is P = 60 - Q Where Q = the sum of the outputs of you and your competitor. a) Suppose you are in this situation only once. You and your competitor have to announce your individual o

Production Theory questions, Game Theory (Nash Equilibrium)

This problem set is an assignment for a post graduate student in Economics (Msc) , thus, each question demands a detailed explanation not just a quick or brief answer. There are 2 questions on production theory, specifically on profit maximization problem. The third question is on game theory, particularly: Nash equilibrium.

Predatory Pricing

According to predatory-pricing theory, the predatory firm sets price below marginal cost, the relevant cost of production. Competitors must then lower their prices below marginal cost, thereby losing money on each unit sold. If competitors failed to match the predatory firm's price cuts, they would continue to lose market shar