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The Auction Problem

2020-11-24

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The next time you buy a retro game or old t-shirt in an online auction, thank William Vickrey’s 1961 paper, “Counterspeculation, Auctions, and Competitive Sealed Tenders” -- because the simple auction style we take for granted today is actually filled with nuance and complexity.

Auctions have been around as long as one person has had an item to get rid of and at least two people wanted it. From Herodotus’ writing, we know that the ancient Babylonians held auctions over 4,000 years ago. But auctions haven’t changed very much over time, and the general bidding structures have remained intact. It seems like aside from differences like submitting a single private bid vs. open bidding back and forth, there isn’t a lot to adjust.

That couldn’t be further from the truth, as advances in auction theory in economics have changed our understanding of optimal bidding and optimal selling. By formulating the revenue equivalence theorem and working out the sometimes-harmful incentives in different auction formats, Vickrey and those who followed him are making the complexity of everyday transactions invisible.

*** SOURCES ***

Vickrey, William. “Counterspeculation, Auctions, and Competitive Sealed Tenders.” The Journal of Finance, vol. 16, no. 1, 1961, pp. 8–37. www.jstor.org/stable/2977633

Güth, Werner, et al. “A Theoretical and Experimental Analysis of Bidding Behavior in Vickrey-Auction Games.” Journal of Institutional and Theoretical Economics, vol. 139, no. 2, 1983, pp. 269–288. www.jstor.org/stable/40750595

Rothkopf, Michael H., et al. “Why Are Vickrey Auctions Rare?” Journal of Political Economy, vol. 98, no. 1, 1990, pp. 94–109. www.jstor.org/stable/2937643

Rothkopf, Michael H., and Ronald M. Harstad. “Two Models of Bid-Taker Cheating in Vickrey Auctions.” The Journal of Business, vol. 68, no. 2, 1995, pp. 257–267. www.jstor.org/stable/2353115

Lucking-Reiley, David. “Vickrey Auctions in Practice: From Nineteenth-Century Philately to Twenty-First-Century E-Commerce.” The Journal of Economic Perspectives, vol. 14, no. 3, 2000, pp. 183–192. www.jstor.org/stable/2646925

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Intro
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The Auction
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What are Auctions
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Example
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Bid Shading
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Honest Bidding
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Conclusion
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Vsauce2 Welcome to the official Vsauce2 YouTube channel! Hosted by Kevin Lieber, Vsauce2 explores recreational mathematics including, paradoxes, math games, riddles and more to uncover the surprising complexity beneath seemingly simple concepts. Vsauce2 launched in December 2010 and is run by Kevin Lieber. Vsauce is... Michael Stevens: Producer/Host of Vsauce1 Kevin Lieber: Producer/Host of Vsauce2 Jake Roper: Producer/Host of Vsauce3 Matthew Tabor: Writer for Vsauce2
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