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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- 6) 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…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…Suppose 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.
- Here is my question!a) You need to take a trip by a car to another town that you never visited before. Therefore, you are studying a map to determine the shortest route to your destination. Depending on which route you choose, there are five other towns (call them A, B, C, D, E) through which you might pass on the way. The map shows the mileage along each road that directly connects two towns without any intervening towns. These numbers are summarized in the following table, where a dash indicates that there is no road directly connecting these two towns without going through any other towns. Table 3: Miles between Adjusted Towns Town A B C D E Destination Origin 40 60 50 A 10 70 B 20 55 40 с 50 D 10 60 E 80 i) Formulate a network model for his problem as a shortest path problem by drawing a network where nodes represent towns, links represents roads, and numbers indicate the length of each link in miles. ii) Use the network form in i) to find the shortest path from origin to the destination.2
- 11.Assume you are pursuing a bachelor’s degree and you have 40 hours to divide between work and school in a week. You choose the amount of time you spend on each based on the classes you take and the hours you request at work. The degree will take you 3 years to complete if you dedicate 40 hours a week and do not take summers off. Obviously, if you devote no time to school, you never get your degree. You have been going to school full time for two quarters. In the third quarter, you do not receive as much loan money as you anticipate and need. You decide to work 20 hours a week to make up the difference and take fewer classes. What is your opportunity cost? Make sure to include how this change will factor into the length of time it will take you to finish your degree.Please try to solve in 30 minute
- 2. Alex and Bill share a flat. Alex enjoys reading in silence, while Bill enjoys listening to loud music. Bill controls his music system, which can produce noise levels up to 100 Decibels. Bill has no cash but Alex has £100. Their utility functions are given by: UA = 10(100 – D)i + (100 – M), %3D Ug = 10(D)i + M, where D denotes the Decibel level chosen by Bill, and M denotes any cash given to Bill by Alex. (a) Explain how Bill's music level affects Alex. Find the contract curve between Alex and Bill. Why is there a unique Pareto efficient noise level? (b) What is the maximum amount Alex would be willing to pay Bill to turn down the music to the Pareto efficient level? What is the minimum amount Bill would be willing to accept in order to turn down the music to the Pareto efficient level? Can the Pareto efficient noise level be achieved through private bargaining?Problem 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…
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