A secluded off-ramp on a highway through the Prairie of Prax has two gas stations, the only gas stations for miles, Northgoings and Southgoings. Suppose Northgoings and Southgoings must simultaneously display their prices, choosing between a high price and low price gas. The payoff matrix for this game, showing potential daily profit, is displayed below. Assume both stations know all of the information in the matrix, and that this is a one-time payoff. Northgoings Decisions High Price Low Price N: $500 N: $800 High Price S: $400 S: $50 Southgoings Decisions N: $100 N: $250 Low Price S: $700 S: $200 (a) According to our model of game theory, Northgoings has a dominant strategy to [ Select] (b) According to our model of game theory, Southlgoings has a dominant strategy to [Select] (c) According to our model of game theory, the competitive outcome, or Nash Equilibrium, Northgoings will earn [ Select] and Southgoings will earn [Select] (d) On the other hand, if these two companies worked together and colluded, Northgoings will earn [Select] and Southgoings will earn [Select] (e) According to our model with profit-maximizing oligopolists in a one-time game such as this, why do we think these companies are more likely to end with the outcome in (c) rather than in (d)? [Select]

Please no written by hand and no image (Bertrand's duopoly game with discrete prices) Consider the variant of the example of Bertrand's duopoly game in this section in which each firm is restricted to choose a price that is an integral number of cents. Take the monetary unit to be a cent, and assume that c is an integer and a>c+!. Is (c,c) a nash equilibrium of this game? Is there any other nash equilibrium?

Boeing and Airbus are the two primary producers of passenger aircraft. Both firms are preparing to announce their new long-distance jets. Each firm can design their plan to maximize comfort or the number of seats. If both firms choose to maximize the same characteristic they will sell 100 planes each and if they maximize different characteristics they will each sell 150 planes each. Both firms want to maximize sales. Draw a game tree and find the equilibrium strategies and payoffs. Show your work.

Solve the attahment.

Suppose that there are only two firms in a market in which demand is given by p = 64 - Q, where Q is the total production of the two firms. Each firm can choose either a low level of output, qL = 15, or a high level of output, qH = 20. The unit cost of production for both firms is $4. Write down the normal-form representation of the game in which the strategic variable for each firm is the quantity of output and the firms make their choices simultaneously. Find the pure strategy Nash equilibrium of this game (quantities produced and market price).

Suppose that Snapface and Instashot are the only two firms in a hypothetical market that produce and sell polaroid cameras. The following payoff matrix gives profit scenarios for each company (in millions of dollars), depending on whether it chooses to set a high or low price for cameras. Snapface Pricing High Low For example, the lower-left cell shows that if Snapface prices low and Instashot prices high, Snapface will earn a profit of $18 million, and Instashot will earn a profit of $2 million. Assume this is a simultaneous game and that Snapface and Instashot are both profit-maximizing firms. Instashot Pricing High Low 11, 11 2, 18 18, 2 10, 10 If Snapface prices high, Instashot will make more profit if it chooses a high price, and if Snapface prices low, Instashot will make more profit if it chooses a price. If Instashot prices high, Snapface will make more profit if it chooses a chooses a ▼ price. Considering all of the information given, pricing high If the firms do not collude,…

In order to make a replacement decision, a firm calculated the equivalent annual cost of owning an asset as follows: EUAC Annual EUAC Replacement Capital Repair Repair Period Costs Costs Costs 1 2 3 4 5 $1,287- $1,082 $400 $189 $976 $600 $298 in 1 year $812 $800 $437 $673 $1,200 $592 When should the company replace the equipment? in 2 years O in 4 years in 5 years in 3 years

O Cell A O Cell C O Cell E O Cell I None of the above

First 4 blanks: high/low Last blank: is not/is

Consider a Stackelberg game of quantity competition between two firms. Firm 1 is the leader and firm 2 is the follower. Market demand is described by the inverse demand function P=1000-4Q. Each firm has a constant unit cost of production equal to 20. Suppose firm 2's unit cost of production is c<20. What value would c have so that in the Nash Equilibrium, the two firms, the leader and the follower, had the same market share?