100 people are choosing between two beaches to go to in the Florida Keys. Beach L is big and never gets crowded, but it is not very nice; the utility from going to Beach L is u(L) = 60. Beach M is much nicer but very small, so it gets crowded; the utility from going to Beach M is u(M) = 100-NM ; Nm is the number of people that %3D go to Beach M. 5) The Nash equilibrium number of people that go to Beach L is A) 20 B) 40 C) 60 D) 80 E) 100 5).
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- #3. Hannah gets 50 utils from visiting her family for Thanksgiving. But there is a 1% chance that she will get the coronavirus from them. If she gets the coronavirus, her utility is -6000 utils. Her total utility would be -5950 (i.e. 50 – 6000). She gets 0 utils from staying healthy (total utility = 50 + 0 = 50). If Hannah doesn't visit her family for Thanksgiving, then she gets -25 utils from eating turkey cold cuts alone in front of the TV. In that case, there is no risk of getting sick. What will Hannah do? a. Visit her family for Thanksgiving b. Not visit her family for Thanksgiving c. Visit her family if she is risk-loving, not visit if she is risk-averse d. Visit her family if she is risk-averse, not visit if she is risk-loving#3. Hannah gets 50 utils from visiting her family for Thanksgiving. But there is a 1% chance that she will get the coronavirus from them. If she gets the coronavirus, her utility is -6000 utils. Her total utility would be -5950 (i.e. 50 – 6000). She gets 0 utils from staying healthy (total utility = 50 + 0 = 50). If Hannah doesn't visit her family for Thanksgiving, then she gets -25 utils from eating turkey cold cuts alone in front of the TV. In that case, there is no risk of getting sick. What will Hannah do?To go from Location 1 to Location 2, you can either take a car or take transit. Your utility function is: U= -1Xminutes -5Xdollars +0.13Xcar (i.e. 0.13 is the car constant) Car= 15 minutes and $8 Transit= 40 minutes and $4 What is your probability of taking transit given the conditions above? What is your probability of taking transit if the number of buses on the route were doubled, meaning the headways are halved? Remember to include units.
- 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…Three roommates are trying to renovate their kitchen. They decided to vote on whether or not it is worth renovating. If at least 2 people vote for the renovation, then it will happen and everyone would split the costs of renovation equally. Their utility functions are U1= (1+ R)y1; U2 = (2 + R)Y2 and U3 if the kitchen is renovated and 0 otherwise, and y;is the amount of money i spends on private consumption. Agent 1 has $900; Agent 2 has $2100 and Agent 3 has $1500; renovation project costs $1500 total. (3 + R)y3, where R=1 1. Will the house be renovated if no bribes are allowed? 2. Can they reach an agreement so that the house ends up being renovated?Economics 4. Suppose you are going to play a game with four other people in our class. The rule of the game is that: each of them will choose a number between and 100 (including 0 and 100). The winner of the game is the one whose chosen number is the closest to [20+* average of everyone's chosen number]. The winner can get $100 form Josie. Everyone choosing 20 is a Nash Equilibrium. (a) True (b) False please explain it in detail.
- Q2. The Prisoners' Dilemma: Jill Confess Remain Silent Confess Bob: 8 years Jill: 8 years Bob: Free Jill: 20 years Bob Remain Silent Bob: 20 years Jill: Free Bob: 1 year Jill: 1 year 2A: Find Nash equilibrium? 28. Is the Nash equilibrium best outcome for them? 2C. If your answer of Q2 is 'No', then why they choose an outcome which is not best for them.10 Question 9 There are four axioms that underpin Expected Utility Theory. Match the names of these axioms to the four descriptions below. Prompts If lottery A is preferred to lottery B; and lottery B is preferred to lottery C; then lottery A must be preferred to lottery C. For every pair of possible lotteries, A and B; either A is preferred to B, B is preferred to A, or A is valued indifferently to B. There is nothing so good (or so bad) that it does not become insignificant if it occurs with small enough probability. If we have to choose between two lotteries which are partially identical, then our decision should only donand on the difference hotween the tw Submitted Answers Choose a match Choose a match Choose a match Choose a matchSophia is a contestant on a game show and has selected the prize that lies behind door number 3.The show’s host tells her that there is a 50% chance that there is a $15,000 diamond ring behindthe door and a 50% chance that there is a goat behind the door (which is worth nothing to Sophia,who is allergic to goats). Before the door is opened, someone in the audience shouts, “I will giveyou the option of selling me what is behind the door for $8,000 if you will pay me $4,500 for thisoption.” [Assume that the game show allows this offer.]a. If Sophia cares only about the expected dollar values of various outcomes, will she buythis option?b. Explain why Sophia’s degree of risk aversion might affect her willingness to buy thisoption
- Public Good Contribution: Three players live in a town, and each can choose to contribute to fund a streetlamp. The value of having the streetlamp is 3 for each player, and the value of not having it is 0. The mayor asks each player to contribute either 1 or nothing. Each player makes a decision without knowing others’ contributions. If at least two players contribute then the lamp will be erected. If one player or no players contribute then the lamp will not be erected, in which case any person who contributed will not get his money back. Write down the strategy sets of each player, their payoffs, and find all pure-strategy Nash equilibria.When a famous painting becomes available for sale, it is often known which museum or collector will be the likely winner. Yet, the auctioneer actively woos representatives of other museums that have no chance of winning to attend anyway. Suppose a piece of art has recently become available for sale and will be auctioned off to the highest bidder, with the winner paying an amount equal to the second highest bid. Assume that most collectors know that Yakov places a value of $35,000 on the art piece and that he values this art piece more than any other collector. Suppose that if no one else shows up, Yakov simply bids $35,0002=$17,500 $35,000 2 = $17,500 and wins the piece of art. The expected price paid by Yakov, with no other bidders present, is. Suppose the owner of the artwork manages to recruit another bidder, Bob, to the auction. Bob is known to value the art piece at $28,000. The expected price paid by Yakov, given the presence of the second bidder Bob, is.The ultimatum game is a game in economic experiments. The first player (the proposer) receives a sum of money and proposes a fair proposal (F - 5;5) or unfair proposal (U - 8;2). The second player (the responder) chooses to either accept (A) or reject (R) this proposal. If the second player accepts, the money is split according to the proposal. If the second player rejects, neither player receives any money. 1 A 5:5 2 F R 0:0 U A 8:2 2 1. Find the subgame perfect Nash Equilibrium using backward induction. R 0;0
