Uniform price auction of divisible goods based on multiple rounds linear bidding and its equilibrium analysis

In this paper, the auction problem of a kind of continuous homogeneous divisible goods is studied and a uniform price auction mechanism is presented based on three conditions, i.e. the auctioneer’s supply is variable, every bidder submits multiple rounds continuous linear bidding, and every bidder’...

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Main Authors: Congjun Rao, Yong Zhao, Yang Chen
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2015-01-01
Series:Technological and Economic Development of Economy
Subjects:
Online Access:https://journals.vgtu.lt/index.php/TEDE/article/view/1045
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spelling doaj-66798b275a594b71bcc5b370359352d12021-07-02T10:00:07ZengVilnius Gediminas Technical UniversityTechnological and Economic Development of Economy2029-49132029-49212015-01-0121110.3846/20294913.2013.876457Uniform price auction of divisible goods based on multiple rounds linear bidding and its equilibrium analysisCongjun Rao0Yong Zhao1Yang Chen2College of Mathematics and Computer Science, Huanggang Normal University, 438000 Huanggang, P. R. China; Institute of Systems Engineering, Huazhong University of Science and Technology, 430074 Wuhan, P. R. China; School of Management, Huazhong University of Science and Technology, 430074 Wuhan, P. R. ChinaInstitute of Systems Engineering, Huazhong University of Science and Technology, 430074 Wuhan, P. R. ChinaInstitute of Systems Engineering, Huazhong University of Science and Technology, 430074 Wuhan, P. R. China In this paper, the auction problem of a kind of continuous homogeneous divisible goods is studied and a uniform price auction mechanism is presented based on three conditions, i.e. the auctioneer’s supply is variable, every bidder submits multiple rounds continuous linear bidding, and every bidder’s valuation to per unit of the goods is independent private information. Concretely, two key problems, i.e. the bidders’ asymptotic strategic behaviours and forming process and composition of equilibrium points are explored. The conclusion is drawn that different bidders’ bidding order and different starting points of initial bidding would not cause different local equilibrium points, and if the equilibrium points exist, then the equilibrium point is unique. First published online: 09 Jun 2014 https://journals.vgtu.lt/index.php/TEDE/article/view/1045divisible goodsuniform price auctionlinear biddingequilibrium points
collection DOAJ
language English
format Article
sources DOAJ
author Congjun Rao
Yong Zhao
Yang Chen
spellingShingle Congjun Rao
Yong Zhao
Yang Chen
Uniform price auction of divisible goods based on multiple rounds linear bidding and its equilibrium analysis
Technological and Economic Development of Economy
divisible goods
uniform price auction
linear bidding
equilibrium points
author_facet Congjun Rao
Yong Zhao
Yang Chen
author_sort Congjun Rao
title Uniform price auction of divisible goods based on multiple rounds linear bidding and its equilibrium analysis
title_short Uniform price auction of divisible goods based on multiple rounds linear bidding and its equilibrium analysis
title_full Uniform price auction of divisible goods based on multiple rounds linear bidding and its equilibrium analysis
title_fullStr Uniform price auction of divisible goods based on multiple rounds linear bidding and its equilibrium analysis
title_full_unstemmed Uniform price auction of divisible goods based on multiple rounds linear bidding and its equilibrium analysis
title_sort uniform price auction of divisible goods based on multiple rounds linear bidding and its equilibrium analysis
publisher Vilnius Gediminas Technical University
series Technological and Economic Development of Economy
issn 2029-4913
2029-4921
publishDate 2015-01-01
description In this paper, the auction problem of a kind of continuous homogeneous divisible goods is studied and a uniform price auction mechanism is presented based on three conditions, i.e. the auctioneer’s supply is variable, every bidder submits multiple rounds continuous linear bidding, and every bidder’s valuation to per unit of the goods is independent private information. Concretely, two key problems, i.e. the bidders’ asymptotic strategic behaviours and forming process and composition of equilibrium points are explored. The conclusion is drawn that different bidders’ bidding order and different starting points of initial bidding would not cause different local equilibrium points, and if the equilibrium points exist, then the equilibrium point is unique. First published online: 09 Jun 2014
topic divisible goods
uniform price auction
linear bidding
equilibrium points
url https://journals.vgtu.lt/index.php/TEDE/article/view/1045
work_keys_str_mv AT congjunrao uniformpriceauctionofdivisiblegoodsbasedonmultipleroundslinearbiddinganditsequilibriumanalysis
AT yongzhao uniformpriceauctionofdivisiblegoodsbasedonmultipleroundslinearbiddinganditsequilibriumanalysis
AT yangchen uniformpriceauctionofdivisiblegoodsbasedonmultipleroundslinearbiddinganditsequilibriumanalysis
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