Consumers are fully aware of their preferences All consumers have the same preferences Consumers don't care about other people's consumption and utility Consumers are fully aware of the prices of all goods A Nash equilibrium in a game means that Group of answer choices no player can gain by changing their choice the most optimal outcome is achieved from a societal point of view no player has a dominant strategy both players have a dominant strategy
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- Consider a town with a single street of 1 km long with 3,000 people spread uniformly along it. Two stores, 1 and 2, are located at the opposite ends of the street and sell the same product (store 1 is locatedattheleftend).Thecostofwalkingist1 =$6perkmtostore1andt2 =$9perkmtostore2for each consumer. The net utility of a consumer located at point x from buying a product at store 1 is U1(x) = 100 – p1 – t1x, where pi is a price of the product at store i = 1,2. The net utility from buying at store 2 is U2(x) = 100 – p2 – t2(1 – x). The average cost of the product for each store is c = 4. (a) Assume that all consumers buy product from the sellers. Find the demand functions Di(p1,p2) and the profit functions πi(p1,p2) for each store i = 1,2 as functions of prices p1,p2.(b) Find the equilibrium prices.Consider the market for a single network good and suppose thatconsumers differ in their valuation of both the stand-alone and thenetwork benefits (it can indeed be argued that it is more plausiblethat a user who has a higher value for the stand-alone component of atechnology also assigns more importance to the size of its network.) Tocapture this idea, write the consumer’s utility function for joining thenetwork as U(θ) = θ(a + νne), where a is the stand-alone benefit, ν > 0measures the network effect, neis the expected number of users joiningthe network, and is uniformly distributed on the unit interval.a. What happens if p > a + νne? (Hint: Identify all consumer who buythe good for at price p and a given expected network size ne).b. What is the consumer’s willingness to pay for the nth unit of thegood when ne units are expected to be sold? Is the demand downwardsloping? Does the demand increase with the expected network size?c. Express the fulfilled-expectations demand curve…learn.canterbury.ac.nz Clasarsom Nov 15-ICO EUC LEARN | AKO See the game below and answer the questions 8 to 11: Player-1 C Player-2 X, Y Y Player-1 9 14 8. Player-2 16 17 16 Nash Equilibrium in this game: Select one: O a. Playert: C; Player2: X O b. Playert: C; Player2: Y Oc. Playert: L; Player2: X Od. Playert: L; Player2: Y e. None
- In game theory, a dominant strategy is the best strategy to pick, no matter which moves are chosen by the other player. O to make the exact same move that was made by the other player. the choice that causes the payoff for the other player to be minimized, regardless of the payoff it earns the best strategy to pick, assuming the other player makes his or her best possible choice. to allocate all personnel resources towards defensive talent in order to dominate opposing offenses. 46°FConsider the following prisoner's dilemma repeated game with: Samantha of Cooperate Defect on Steve Cooperate 4, 4 -2, 2 Defect 2,-2 0,0 a. Consider two periods of (C,C) followed by one period of (D,C) then (D,D) in the stage game above. What is the discounted utility for both players? b. For what values of the discount factor, is it rational for Player 1 to deviate to D in the first period? Show your work. (You can type in "Delta" to represent 8)Exercise 6.8. Consider the following extensive-form game with cardinal payoffs: 1 R O player pay 000 2 1 M 3 b 010 O player 3's payoff 1 2 221 2 000 0 0 (a) Find all the pure-strategy Nash equilibria. Which ones are also subgame perfect? (b) [This is a more challenging question] Prove that there is no mixed-strategy Nash equilibrium where Player 1 plays Mwith probability strictly between 0 and 1.
- In the movie Rebel Without a Cause, James Dean and Buzz Gunderson compete for thefavours of sixteen year old Judy. Buzz's gang members steal two cars. The group of teenagers gathers on aLos Angeles lookout, with a cliff that drops down to the Pacific Ocean. James and Buzz are to drive the stolencars toward the cliff. The first person to jump from his car is declared the chicken (which is bad). The lastperson to jump is the hero (which is good), capturing Judy's affection and the gang's respect. The driverlesscars continue over the cliff and plunge to the rocks at its base.Each driver can make two possible actions. Jump when he feels endangered (be a chicken) or jump AFTERthe other driver jumps (be a rooster). Assuming that both feel endangered at the same moment, the followingmatrix represents the payoffs for James and Buzz for each choice of strategy.BuzzChicken RoosterJames Chicken 3, 3 -10, 20Rooster 20, -10 -50, -50 PLEASE ANSWER THE BELOW QUESTION WITH REFERECE TO THE ABOVE…This figure below shows the payoffs involved when Sarah and Joe work on a school project together for a single grade. They both will enjoy a higher grade when more effort is put into the project, but they also get pleasure from goofing off and not working on the project. The payoffs can be thought of as the utility each would get from the effort they individually put forth and the grade they jointly receive. Serah Lew Effen High Eet Low Effert Joe 15 High Effon The outcome of the game in the figure shown will be: Multiple Choice Joe puts forth high effort and Sarah puts forth low effort. Joe puts forth low effort and Sarah puts forth high effort. Joe and Sarah both put forth low effort. Joe and Sarah both put forth high effort.The prisoners' dilemma is a two-person game illus·trating thata. t he cooperative outcome could be worse for bothpeople than t he Nash equilibrium.b . even if the cooperative outcome is better than theNash equilibrium for one person, it might be worsefor the other.c. even if cooperation is better than the Nash equilibrium,each person might have an incentive not tocooperate.d . rational, seff·interested individuals will naturallyavoid the Nash equilibrium because it is worse forboth of them.
- QUESTION 6 Which of the following was insight regarding optimal pricing that we gleaned from behavioral economics? O Make costs lump sum (integrate the costs into one cost) and separate allof the benefits of a purchase (separate the gains from an exchange). O Consumers always act rationally in their consumption decisions. O Expectations about products' prices don't matter for consumer behavior - all that matter's is the price they actually face, O Default choices for consumers don't matter for their behavior. QUESTION 7 Which of the following are the conditions for a firm to be able to profitably engage in bundlhpg?. O There is variation in consumers' willingness and abilities to pay for the goods, and consumers' valuations of the goods are positively correlated. O Consumers must like the bundled goods relatively equally. Consumers' preferences across the goods are relatively consistent with each other. O There is variation in consumers' willingness and abilities to pay for the goods,…Exercise 6.1Suppose that two airlines decide to collude. Analyse the game between these two companies. Suppose that each of them can charge for tickets a high price or a low price. If one of them charges 100 euros, it gets few profits if the other also charges 100 euros and high profits if the other charges 200 euros. On the other hand, if the company charges 200 euros, it obtains very little profit if the other charges 100 euros and an average profit if the other also charges 200 euros. a) Represent the matrix of results of this game. b) What is the Nash equilibrium in this game? Explain your answer. c) Is there an outcome that would be better than the Nash equilibrium for the two airlines? How could it be achieved? Who would lose out if it were reached?A Nash equilibrium occurs when O no player has an incentive to unilaterally change strategies. each player has an incentive to unilaterally change strategies. O both players can cooperate to increase their payoffs. O no player can earn a higher payoff from any other strategy.