Suppose your worst enemy is standing over by the carnival games at (2,5) and wants to avoid you AT ALL COSTS. She takes a path that is parallel to yours and ends up at the roller coaster. What is an equation of the line representing your enemy's path?
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Suppose your worst enemy is standing over by the carnival games at (2,5) and wants to avoid you AT ALL COSTS. She takes a path that is parallel to yours and ends up at the roller coaster. What is an equation of the line representing your enemy's path?
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- Im stuck on this questionSuppose we have a football player taking a penalty kick. The kicker can kick right or left, and the goalie can defend right or left (assume the kicker's right). Write the game using general parameters. Find all the equilibria, pure and mixed. Draw the best response curves.Game Theory Question A non-profit firm is on a local community online donation platform for a community event it wants to hold (only community members can donate via the website). The event will be held only if the non-profit firm collects $20,000 total from members of the community. Each member values the event at $500. Suppose that there are 100 community members. Community members can only donate by purchasing a lottery ticket from the firm. Each ticket costs $200 and only one ticket can be purchased per member. The proceeds will be collected by the firm. The lottery winner gets a premier meal at a local restaurant that's worth $100. Remember, the firm keeps all the donated money. If the amount of donations is less than $20,000, then the firm returns the donated money to the community members (since there'll be no event held but the lottery winner still gets to eat that fancy meal). If the donations sum up to $20,000, the community event will take place. What are the Nash…
- Im having trouble solving this question, could you solve it for me?You have been assigned to create a new TV game show, and you have an interesting idea that you call, “I WANT TO BE A MILLIONAIRE.” The basics are: 1) two contestants; 2) the show begins with each contestant being given $1 million (!); and then 3) they begin playing a game that can increase or decrease that $1 million. You worry that the initial outlay of $2 million will stun your producers, so you decide to prepare them with a simpler version of your game that you call: “I WANT $3.” There are four steps in this simpler game: There are two contestants/opponents (who do not know each other and cannot communicate with each other during the game). Each player is given $3 at the start of the game. Independently and simultaneously, each player must choose whether they want to add $0, $1, $2 or $3 to their initial stake of $3. Doing so reduces their opponent’s award by $0, $2, $4, or $6, respectively. Each player knows that their payoff at the end of the game is based on their initial $3,…Suppose that Jason and Chad each are thinking of opening up a diet coke stand on the fourth floor of this building. Suppose that potential customers are evenly spaced on a distance that is normalized to 1. Customers will buy a diet coke from whichever stand requires the least walking. If they are the same distance the customer will flip a coin. This is depicted below. 1/4 1/2 3/4 Suppose that Jason and Chad are simultaneously choosing the location of their stands, what is the Nash Equilibrium location? a. One of them puts a stand at 3/4 and the other puts a stand at 1/4 b. Chad and Jason put their stands right next to each other at 1/2 c. One of them puts a stand at 0 and the other puts a stand at 1 d. There is no Nash Equilibrium
- Hello, I keep getting this question wrong on my practice quiz but im not sure what im doing wrong.Why do we use mind mappingProblem 7 A casino offers people the chance to play the following game: flip two fair coins. If both come up heads, the gambler wins $1. If both come up tails, the gambler wins $3. If one is heads and one is tails, the gambler gets nothing. The game costs $1.25 to play. Your friend, Richard, who has not taken a probability course and thus doesn't know any better, goes to this casino and plays the game 600 times. Estimate the probability that your friend loses between $132 and $195 over the course of the 600 games. (You need to provide a number instead of an expression involving NA(a,b)).
- N=2 video broadcasting websites, You and Twi, must decide the number of minutes of ads to be displayed for every video that the user elects to watch. Let tY be the number of ad-minutes per video set by You, and tT the number of ad-minutes per video set by Twi. Streaming one video costs You cY=0.02, while it costs Twi cT=0.03. There are 100 million potential users, and each watches videos according to the following demand curves: qY((tY,tT) =10-2tY+tT=10-2tT+tY a- What is the cross-price elasticity between You and Twi? b- Suppose, for now, that You and Twi enter an (illegal) agreement by which they set tY=tT=t Derive the total number of users in the market as a function of t. Derive the profits for each website as a function of t. c- Now let the two platforms compete by each setting their number of ad-minutes: i. What is the best reply of You? What is the best reply of Twi? ii. Find the Nash Equilibrium of the game. iii. How many total users choose You and how many total users choose…Two oil companies are deciding how much oil to extract from their properties, which lie above the same underground reservoir. The faster that oil is extracted, the less total oil is extracted. Letting x denote the extraction rate for company X and y denote the extraction rate for company Y, we assume that the total amount of oil extracted is 1/(x + y) million gallons of oil. Of the total amount that is extracted, the share going to company X is x/(x + y), and the share to company Y is y/(x + y); that is, a company’s share depends on how fast it extracts compared with the other company. The price of oil is $100 per gallon. Each company chooses its extraction rate from the interval [1,10] in order to maximize the monetary value of the oil that it extracts. Find the Nash equilibrium extraction rates. (Note: You can assume that the payoff function is hill shaped.)1. Let's go back to the game played between Charlotte (automobile driver) and Erica (bicyclist). Assume that they are traveling at night. Charlotte could reduce the change of hitting Erica by installing brighter lights. Erica can reduce the change of being hit by wearing a vest. Suppose the cost of brighter lights is $30, and the cost of a vest is $15. The damage done to Erica if there is an accident is $1,000. The table below shows the probabilities of an accident, which depend on the level of care taken by each: Normal Lights Bright Lights a. What is the efficient level of precaution taken by both sides? Charlotte No Vest 8% 3% Erica Vest 5% 1% b. For each of the following rules, determine what level of precaution Charlotte and Erica will take. i. negligence w/ a defense of contributory negligence ii. strict liability with contributory negligence iii. comparative negligence For each rule you will have to complete the payoff tables (I will provide templates on the exam), and then find…