On the lowest unique bid auction with multiple bids

© 2015, Newswood Ltd. All rights reseved. This study focuses on the lowest unique sealed-bid auctions in which the winning bidder is the one who places the unique bid that has the lowest value where exactly m bids per bidder are allowed. The problem can be seen as injecting a minimum into a random s...

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Bibliographic Details
Main Authors: Nawapon Nakharutai, Parkpoom Phetpradap
Format: Journal
Published: 2018
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84955591431&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/54490
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Institution: Chiang Mai University
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Summary:© 2015, Newswood Ltd. All rights reseved. This study focuses on the lowest unique sealed-bid auctions in which the winning bidder is the one who places the unique bid that has the lowest value where exactly m bids per bidder are allowed. The problem can be seen as injecting a minimum into a random subset of a larger subset. By assuming that bids are identical and independently placed according to a given probability distribution, we obtain various exact probabilities for the auctions, both as a bidder and an observer, for m = 1, 2. The results are obtained via the inclusion- exclusion principle. The computational results and algorithms to calculate the probabilities are also given.