-bidU2. Suppose that three risk-neutral bidders are interested in purchasing aPrincess Beanie Baby. The bidders (numbered 1 through 3) have valua-tions of $12, $14, and $16, respectively. The bidders will compete in auc-tions as described in parts (a) through (d); in each case, bids can be madein $1 increments at any value from $5 to $25.(a) Which bidder wins an open-outcry English auction? What are thefinal price paid and the profit to the winning bidder?(b)Which bidder wins a second-price, sealed-bid auction? What are thefinal price paid and the profit to the winning bidder? Contrast youranswer here with that for part (a). What is the cause of the differencein profits in these two cases?190HO(c) In a sealed-bid, first-price auction, all the bidders will bid a positiveamount (at least $1) less than their true valuations. What is the likelyoutcome in this auction? Contrast your answer with those for parts(a) and (b). Does the seller of the Princess Beanie Baby have any clearreason to choose one of these auction mechanisms over the other?(d) Risk-averse bidders would reduce the shading of their bids in part(c); assume, for the purposes of this question, that they do not shadeat all. If that were true, what would be the winning price (and profitfor the bidder) in part (c)? Does the seller care about which type ofauction she chooses? Why?moit

An auction is a kind of economic mechanism that serves the aim of allocating items and determining…

U2. Suppose that three risk-neutral bidders are interested in purchasing a Princess Beanie Baby. The bidders (numbered 1 through 3) have valua- tions of $12, $14, and $16, respectively. The bidders will compete in auc- tions as described in parts (a) through (d); in each case, bids can be made in $1 increments at any value from $5 to $25. (a) Which bidder wins an open-outcry English auction? What are the final price paid and the profit to the winning bidder? (b) Which bidder wins a second-price, sealed-bid auction? What are the final price paid and the profit to the winning bidder? Contrast your answer here with that for part (a). What is the cause of the difference in profits in these two cases? (c) In a sealed-bid, first-price auction, all the bidders will bid a positive amount (at least $1) less than their true valuations. What is the likely Med

U2. Suppose that three risk-neutral bidders are interested in purchasing a Princess Beanie Baby. The bidders (numbered 1 through 3) have valua- tions of $12, $14, and $16, respectively. The bidders will compete in auc- tions as described in parts (a) through (d); in each case, bids can be made in $1 increments at any value from $5 to $25. (a) Which bidder wins an open-outcry English auction? What are the final price paid and the profit to the winning bidder? (b) Which bidder wins a second-price, sealed-bid auction? What are the final price paid and the profit to the winning bidder? Contrast your answer here with that for part (a). What is the cause of the difference in profits in these two cases? (c) In a sealed-bid, first-price auction, all the bidders will bid a positive amount (at least $1) less than their true valuations. What is the likely Med

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter7: Uncertainty

Section: Chapter Questions

Problem 7.10P

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The Federal Communications Commission (FCC) has hired you as a consultant to design an auction to sell wireless spectrum rights. The FCC indicates that its goal of using auctions to sell these spectrum rights is to generate revenue. Since most bidders are large telecommunications companies, you rationally surmise that all participants in the auction are risk neutral. Which auction type—first-price, second-price, English, or Dutch—would you recommend if all bidders value spectrum rights identically but have different estimates of the true underlying value of spectrum rights?
The Federal Communications Commission (FCC) has hired you as a consultant to design an auction to sell wireless spectrum rights. The FCC indicates that its goal of using auctions to sell these spectrum rights is to generate revenue. Since most bidders are large telecommunications companies, you rationally surmise that all participants in the auction are risk neutral. Which auction type—first-price, second-price, English, or Dutch—would you recommend if all bidders value spectrum rights identically but have different estimates of the true underlying value of spectrum rights? Kindly give a brief one-page description as part of the assignment.
The mixed stratergy nash equalibrium consists of : the probability of firm A selecting October is 0.692 and probability of firm A selecting December is 0.309. The probability of firm B selecting October is 0.5 and probability of firm selecting December is 0.5. In the equilibrium you calculated above, what is the probability that both consoles are released in October? In December? What are the expected payoffs of firm A and of firm B in equilibrium?
Nn3 Suppose an incumbent monopoly firm currently earns a profit of $50,000 per period. A potential entrant could enter and make a profit of $15,000 per period while also lowering the incumbent’s profit to $20,000 per period. The monopoly firm could seek to engage in predatory pricing, which would lead to both firms earning a loss of $5,000 per period. (a) Is there a Nash Equilibrium in this game? If so, what is it? (b) Discuss how this game might play out in the real world?
The FCC has hired you as a consultant to design an auction to sell wireless spectrum rights. The FCC indicates that its goal of using auctions to sell these spectrum rights is to generate revenue. Since most bidders are large telecommunications companies, you rationally surmise that all participants in the auction are risk neutral. Which auction type—first-price, second-price, English, or Dutch—would you recommend if all bidders value spectrum rights identically but have different estimates of the true underlying value of spectrum rights? Explain
Cameron and Luke are playing a game called ”Race to 10”. Cameron goes first, and the players take turns choosing either 1 or 2. In each turn, they add the new number to a running total. The player who brings the total to exactly 10 wins the game. a) If both Cameron and Luke play optimally, who will win the game? Does the game have a first-mover advantage or a second-mover advantage? b) Suppose the game is modified to ”Race to 11” (i.e, the player who reaches 11 first wins). Who will win the game if both players play their optimal strategies? What if the game is ”Race to 12”? Does the result change? c) Consider the general version of the game called ”Race to n,” where n is a positive integer greater than 0. What are the conditions on n such that the game has a first mover advantage? What are the conditions on n such that the game has a second mover advantage?
Two players bargain over 1 unit of a divisible object. Bargaining starts with an offer of player 1, which player 2 either accepts or rejects. If player 2 rejects, then player 1 makes another offer; if player 2 rejects once more, then player 2 makes an offer. If player 1 rejects the offer of player 2, then once more it is the turn of player 1 where he makes two consecutive offers. As long as an agreement has not been reached this procedure continues. For example, suppose that agreement is reached at period 5, it follows that player 1 makes offers in period 1,2 then player 2 makes an o er in period 3, then player 1 makes offers in 4,5. Negotiations can continue indefinitely, agreement in period 't' with a division (x, 1- x) leads to payoffs ( , (1-x)).(The difference from Rubinstein's alternating offer bargaining is that player one makes two consecutive offers, whereas player 2 makes a single offer in her turn.) a. Show that there is a subgame perfect equilibrium in which player 2's…
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?
Normal Form: Which one of the following descriptions below is CORRECT according to this Normal Form shown? 1.) If Player 2 believes that Player 1 randomly choose H or L with same probability, then Player 2's expected for choosing HC is 2. 2.) If Player 1 has 20% chance to play H and 80% chance to play L, Player 2 has 40% chance to play HD and 60% chance to play LC; then Player 1's expected payoff is 2. 3.) If Player 2 randomly play one of its 4 strategies without any preference, then Player 1's expected payoff for playing L is 2.5. 4.) If Player 2 believes that Player 1 has no probability to play L, then Player 2 would prefer to choose HC or HD.
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 Valerie places a value of $15,000 on the art piece and that she values this art piece more than any other collector. Suppose that if no one else shows up, Valerie simply bids $15,000/2=$7,500 and wins the piece of art. The expected price paid by Valerie, with no other bidders present, is $________.. Suppose the owner of the artwork manages to recruit another bidder, Antonio, to the auction. Antonio is known to value the art piece at $12,000. The expected price paid by Valerie, given the presence of the second bidder Antonio, is $_______. .
A clothing store and a jeweler are located side by side in a shopping mall. If the clothing store spend C dollars on advertising and the jeweler spends J dollars on advertising, then the profits of the clothing store will be (36 + J )C - 2C 2 and the profits of the jeweler will be (30 + C )J - 2J 2. The clothing store gets to choose its amount of advertising first, knowing that the jeweler will find out how much the clothing store advertised before deciding how much to spend. The amount spent by the clothing store will be Group of answer choices $17. $34. $51. $8.50. $25.50.
Two rival communications companies (Alpha and Beta) are both considering bringing out a revolutionary 8G wireless technology. Unfortunately, the costs of development are so high that the potential market could only support one firm. Both companies understand these possible outcomes. If one firm enters the 8G market and the other does not, the entering firm will receive $500 billion in profits over the next 5 years; the other firm will receive $100 billion over the same 5 years (by concentrating on their current 5G service). If neither enters the 8G field, they can both expect to receive $75 billion over the 5-year period, as they fight over the 5G market. Lastly, if both enter the 8G market, each will end up suffering a $50 billion loss over the same 5 years. Use a game table with “ENTER” and “STAY OUT” to decide each player’s options and the payoffs. Explain why each company has a strong reason to want to announce its intentions before the other company announces theirs.