parameter z = 5List all pure strategies for either player that are weakly dominated. Consider the following game in strategic form.f3, 1eh8,2b| 10,57,3 2,57,2 3,4ax, x7,3 2,6 5,87, 10 4,8 1,91,4d6,6

Strictly dominated strategy is the strategy that gives same or worse payoff compared to other…

Answered: Consider the following game in…

Consider the following game in strategic form. f 3, 1 e h 8,2 b| 10,5 7,3 2,5 7,2 3,4 a x, x 7,3 2,6 5,8 7, 10 4,8 1,9 1,4 d 6,6

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Two hotels are considering a location along a newly constructed highway through the desert. The highway is 500 miles long with an exit every 50 miles (including both ends). The hotels may choose to to locate at any exit. These will be the only hotels for any traveler using the highway. Each traveler has their own most preferred location along the highway (at some exit) for a hotel, and will choose to go the hotel closest to that location. Travelers most preferred locations are distributed evenly, so that each exit has the same number of travelers who prefer that exit. If both hotels are the same distance from a traveler's most preferred location, then that traveler flips a coin to determine which hotel to stay at. A hotel would each like to maximize the number of travelers who stay at it. If Hotel 1 locates at the 100 mile exit, where should Hotel 2 locate? Given Hotel 2's location that you just found, where would Hotel 1 prefer to locate? Which pairs of locations form Nash equilibria?
No written by hand solution Cooperation between players in a finitely repeated game is difficult to maintain. Why is this the case? Group of answer choices Each player has an incentive to deviate from the cooperative strategy during the last period of the game. A Nash equilibrium is not possible in finite repeated games. Finite games only work if there are more than 20 periods. Both players are likely to be discovered by the authorities before the end of the game.
The total cost for a product-testing firm is C(q)=70 + 20q2 q= number of products tested Price of a product = average cost Each corporation purchases one product test per year from a product-testing firm in the same city. All other inputs are ubiquitous. Suppose five corporations are initially distributed uniformly, with one corporation in each city (A,B,C,D,E). Is the initial distribution a Nash Equilibrium? Demonstrate it is not by finding how much one corporation would pay if they deviate and move to another city? What is the average price of having two tests conducted? (Which is the price that the corporation would pay if they "live" in a city where two tests are conducted) The average price of moving and thus, having two tests is: $_____
Two construction companies are lobbying to obtain a share of work on repaving city streets. The share of the project going to each firm depends on money contributions to the mayor’s reelection fund. The project has value V in total. The mayor is somewhat biased in favor of firm 1, which is run by his niece. If firm 1 contributes x1 and firm 2 contributes x2, with at least one contribution strictly larger than zero, then the shares of the project going to firms 1 and 2 are s1 and s2, respectively, where (see picture)
Assume that two collectors, X and Y are in a first prize sealed bid auction for a batch of vintage comic books. X and Y have different valuations (V) for this batch of comic books e.g. VX And VB are between $2000 and $4000. Both collectors know their own V but does not know the V of the other collector. All they know is that the other collector’s V is a uniformly distributed number between $2000 and $4000. Assume risk neutrality for X and Y e.g. expected payoff for X is: (VX – bX)Pr(bX) and expected payoff for Y is (VY – bY)Pr(bY). These collectors will make their bids strategically. Show how X’s bidding strategy is bX = ½ Vx + 1 and Y’s is bY = ½ Vy +1 in a Nash equilibrium.
A total of 10 players are each choosing a number from {0,1,2,3,4,5,6,7,8}. If a player's number equals exactly half of the average of the numbers submitted by the other nine players, then she is paid $100; otherwise, she is paid 0. Solve for the strategies that survive the IDSDS.
Channels 7 and 10 are the only television networks. They want to capture as much of the market as possible because it helps them earn more advertising revenue. Each channel can choose to show a cooking or a reality show on Sunday night. If they both airing cooking shows or both airing reality shows, Channel 10 gets 60% of the market. If Channel 10 is showing a cooking show and Channel 7 is showing a reality show, Channel 10 gets 70% of the market. If Channel 10 is showing a reality show and Channel 7 is showing a cooking show, Channel 7 gets 45% of the market. In a sequential game, Channel 7 moves first. What is true? Group of answer choices Channel 7 will choose reality. Channel 7 has a second mover advantage. Channel 10 will choose cooking. Channel 10 will choose reality. Channel 7 will choose cooking.
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Thelma and Louise are competitors in a local beer market and each is trying to decide if it is worthwhile to advertise. If both of them advertise, each will earn a profit of $2000. If neither of them advertises, each will earn a profit of $5000. If one advertises and the other doesn't, then the one who advertises will earn a profit of $7500 and the other will earn a profit of $1000. To make the most money, what should Thelma do and how much profit will she earn? Select one: a. she should advertise, and she will earn $7500 b. she should do whatever Louise does, and will earn either $2000 or $5000 C. she should not advertise, and she will earn $5000 d. she should advertise, and she will earn $2000 Next page
Consider the following 3×3 two player normal form game that is being repeated infinite number of times. The discounting factor for player 1 is δ1 and the discounting factor for player 2 is δ2. left center right up (10 ,40) (32 ,75) (65 ,58) middle (55 ,63) (21 ,45) (23 ,83) down (14 ,76) (16 ,65) (37 ,42) a. Find the total discounted utility for player 2 if player 1 decides to play middle all the time and player 2 decides to play left all the time. b. Now suppose both players are following the strategy of part (a) until player 1 decides to play up in the 6th stage. The the new NE after the 6th stage is (up,right). Find the total discounted utility for player 2 in this case. c. Using the grim trigger strategy, find the minimum value of δ2. Can you find any anomaly in your calculated value of δ2?
There is a city, which looks like a trapezoid, as shown below. Citizens liveuniformly distributed all over the city. Two ice-cream vendors, A and B, must independently set up stores in the city. Each citizen buys from the vendor closest to their location and when equidistant from both vendors they choose bycoin toss. Each vendor’s aim is to maximize the expected number of customers. A choice oflocation by the two vendors is a Nash equilibrium if no vendor can do better by deviatingunilaterally. Does this game have a Nash equilibrium? If so, describe it. If not, explain why not.
There are N>=2 collectors who engage in the auction of an antique. The collectorshave a common valuation of the antique, denoted by v, which is known to all. Thecollectors make a simultaneous bid. Let pn denote the bid by collector n = 1,....,N. The one with the highest bid wins the antique. The winner receives payoff v-pi.The other(s) receive zero payoff. If more than one collectors make the same highestbid, then they have an equal chance of winning the item. Prove that: A) It is not a Nash Equilibrium (NE) if the highest bid is v and onlyone collector bids this price.(b) It is not a NE if the highest bid is less than v.(c) It is a NE that the highest bid is v and more than one collector bidsthis price