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- what is the correct answer? 2) True or false?Two friends, Khalid and Mahmood, are going to a watch a world cup football match. They play a simple game in which they hold out one or two fingers to decide who will pay for the other's ticket. Khalid wins if the fingers held out add up to an even number; Mahmood wins if the fingers held out add up to an odd number. The price of the ticket is 25 OMR. Construct a payoff matrix for the game. Is there a unique Nash equilibrium in this game? Which strategy should a player use to maximize her chances of winning the game?There are N women that all share the same toilet every day in an office building. Each sits on the toilet to use it and must decide whether to put down toilet paper on top of the toilet or sit directly on it. The toilet is cleaned just once a day at a random time and no one knows when this is done. It takes time and effort to put down toilet paper so if she knew the toilet was clean (either because she is the first to use it after it was cleaned or if all previous users after it was last cleaned put down toilet paper) she would rather not put down toilet paper. However, if she believes the toilet is dirty she would rather put down toilet paper. a) Is this game best described as simultaneous or sequential move? b) How many equilibria are there in this game? c) Briefly provide a general description of the equilibria. Which equilibrium/equilibria provide the highest social payoff?
- Please help me by making sure the answer is correct as well as providing the answer for the last part.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.These are both the same questions
- In a sideshow game. A player gets 3 balls to place into a Clown's mouth. Each ball is swallowed by the Clown and is then deposited into slots that can hold only 1 ball. Slots are numbered 1 to 9 and prizes are allocated to a player depending on the slot value of the three balls. If for example the first ball landed in slot 8, the second in slot 2 and the third in slot 1, the resulting prize number would be 821 as shown in Figure 3. 3rd 2nd 1st dol 1 2 3 4 5 6 7 8 9 Figure 3: A prize number of 821 is shown for a side show game. a) How many resulting prize numbers are possible in this game? b) How many resulting prize numbers are possible that end with the number 1?10 citizens need to decide whether or not to revolt against their government. If at least 6 (i.e., n ≥ 6) citizens revolt against the government, they will start a successful revolution and overthrow the government. Otherwise (if n < 6), the government remains in power. The citizens' payoffs depend on whether they have chosen to revolt and whether the government is overthrown. Revolting is costly. Thus, if a citizen has chosen to revolt, their payoff is reduced by 5 regardless the outcome of the revolution. If the government is overthrown, each citizen receives payoff 10 regardless whether they have chosen to revolt or not, whereas if the government remains in power each citizen receives payoff 0. For example, if 8 citizens revolt, each of them will receive net payoff 5 and the other 2 citizens will each receive payoff 10. However, if 2 citizens revolt, each of them will receive net payoff -5 and the other 8 citizens will receive payoff 0. (1) Is every citizen revolting a Nash…Please see below. True or false question.
- Find the SPNE for the centipede game. Centipede game: Two players, 1 and 2, take turns choosing one of two actions each time, continue or stop. They both start with $1 in their respective piles, and each time i says continue, $1 is taken away from his pile, and $2 are added to the other player's pile. The game automatically stops when both players have $100 in their respective piles.Kimberly's sister would like to start a business with her brother selling simple T-shirts that are green in color at all stores in the area. Her brother disagrees and thinks that the shirts should have a special logo on them and should be sold only at specific stores. As the deciding vote, what should Kimberly choose and why? Choose one: A selling green T-shirts because prices will be higher as the number of stores increases B. selling green T-shirts because prices will be higher as the shirt becomes more commonplace OC. selling shirts with a special logo because prices will be higher as the shirts becomes more unique OD. selling shirts with a special logo because prices will be higher as the shirts are sold in fewer stores OE. both C and DFirst Fiddler's Bank has foreclosed on a home mortgage and is selling the house at auction. There are three bidders for the house, Ernie, Teresa, and Marilyn. First Fiddler's does not know the willingness to pay of these three bidders for the house, but on the basis of its previous experience, the bank believes that each of these bidders has a probability of 1/3 of valuing it at $600,000, a probability of 1/3 of valuing at $500,000, and a probability of 1/3 of valuing it at $200,000. First Fiddler's believes that these probabilities are in de pendent among buyers. If First Fiddler's sells the house by means of a second- bidder, sealed- bid auction (Vickrey auction), what will be the bank's expected revenue from the sale? (Choose the closest option.) The closest option is 448, 148. Please explain in details thank you.