What amount does each bidder bid in the Bayesian Nash equilibrium of a 2nd price auction? The expected value of the second highest bidder. One half of the expected value of the second highest bidder. Their own value. One half of their own value.

What amount does each bidder bid in the Bayesian Nash equilibrium of a 2nd price auction? The expected value of the second highest bidder. One half of the expected value of the second highest bidder. Their own value. One half of their own value.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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The Dean is looking for a tenured professor to teacha course. Monetary incentives are needed to get someoneinterested, but how much? The Dean decides to use an auction to do thejob. Two professors, equally qualified, applied for the position. The twoprofessors are invited to covertly submit their bids to the Dean. The Deanwill give the position to the professor who submits the lower bid (if thereis a tie, the job is assigned randomly). The professor who gets the job willbe paid his/her own bid. Each professorís reservation value for teachingthe course is his/her private information. It is common knowledge thattheir reservation values are independently and uniformly distributed over[0,100]. So if a professor with a reservation value of 50 wins witha bid of 60, his payoff is 60 - 50 = 10. Please answer part b). (a) Find a Bayesian Nash equilibrium of the bidding game.(b) Suppose the two professorsíreservation values are 60 and 70, respectively. What are their bids in the Bayesian Nash…
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Suppose there are two bidders for a single object. Each bidder has a value for the object, v1 and v2, which is randomly drawn uniformly from 0 to 80. (Note that this means the probability that a value is 25 or lower is 25/80, and more generally, the probability that a value is k or lower is k/80). Bidders see their own values but not the values of their rival bidders. Consider a first price sealed bid auction where the winner of the object is the bidder who submits the highest bid and pays the price that he bid. Suppose that you are bidder 1 and you believe that your rival always bids a constant fraction α of his value. (For example, if bidder 2’ value is 15, he will bid 15α.). 1. What is your expected winning probability of the auction from any given bid b1? (Hint, you win the auction when your bid amount b1 is greater than your opponent’s bid). 2. What is your expected payoff from any given bid, b1? (You need to write your answer as a function of v1, b1, and α). 3. Compute your best…
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There are three bidders participating in a first-price auction for a painting. Each bidder has a private, independent value vi for such a painting that is drawn uniformly from [0,1] Assume that each bidder i has a linear bidding function bi=avi, where a>0. What is the bidding strategy of bidder i , namely bi in the Bayesian equilibrium?
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