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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Main Authors: Nawapon Nakharutai, Parkpoom Phetpradap
Format: Journal
Published: 2018
Subjects:
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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spelling th-cmuir.6653943832-544902018-09-04T10:14:46Z On the lowest unique bid auction with multiple bids Nawapon Nakharutai Parkpoom Phetpradap Engineering © 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. 2018-09-04T10:14:46Z 2018-09-04T10:14:46Z 2015-07-10 Journal 18160948 1816093X 2-s2.0-84955591431 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84955591431&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/54490
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Engineering
spellingShingle Engineering
Nawapon Nakharutai
Parkpoom Phetpradap
On the lowest unique bid auction with multiple bids
description © 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.
format Journal
author Nawapon Nakharutai
Parkpoom Phetpradap
author_facet Nawapon Nakharutai
Parkpoom Phetpradap
author_sort Nawapon Nakharutai
title On the lowest unique bid auction with multiple bids
title_short On the lowest unique bid auction with multiple bids
title_full On the lowest unique bid auction with multiple bids
title_fullStr On the lowest unique bid auction with multiple bids
title_full_unstemmed On the lowest unique bid auction with multiple bids
title_sort on the lowest unique bid auction with multiple bids
publishDate 2018
url 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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