A First-Price Sealed-Bid Asymmetric Auction When Two Bidders Have Respective CRRA and General Utility Functions

We study a first-price auction with two bidders where one bidder is characterized by a constant relative risk aversion utility function (i.e., a concave power function) while the other has a general concave utility function. We establish the existence and uniqueness of the optimal strategic markups...

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Main Authors: Mingming Gong, Shulin Liu
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2021/5592402
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author Mingming Gong
Shulin Liu
author_facet Mingming Gong
Shulin Liu
author_sort Mingming Gong
collection DOAJ
description We study a first-price auction with two bidders where one bidder is characterized by a constant relative risk aversion utility function (i.e., a concave power function) while the other has a general concave utility function. We establish the existence and uniqueness of the optimal strategic markups and analyze the effects of one bidder’s risk aversion level on the optimal strategic markups of him and his opponent’s, the allocative efficiency of the auction, and the seller’s expected revenue, respectively.
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institution Kabale University
issn 1026-0226
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language English
publishDate 2021-01-01
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series Discrete Dynamics in Nature and Society
spelling doaj-art-38c68be80f05467b8a685cd9a85294a62025-02-03T01:24:41ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/55924025592402A First-Price Sealed-Bid Asymmetric Auction When Two Bidders Have Respective CRRA and General Utility FunctionsMingming Gong0Shulin Liu1School of International Trade and Economics, University of International Business and Economics, Beijing 100029, ChinaSchool of International Trade and Economics, University of International Business and Economics, Beijing 100029, ChinaWe study a first-price auction with two bidders where one bidder is characterized by a constant relative risk aversion utility function (i.e., a concave power function) while the other has a general concave utility function. We establish the existence and uniqueness of the optimal strategic markups and analyze the effects of one bidder’s risk aversion level on the optimal strategic markups of him and his opponent’s, the allocative efficiency of the auction, and the seller’s expected revenue, respectively.http://dx.doi.org/10.1155/2021/5592402
spellingShingle Mingming Gong
Shulin Liu
A First-Price Sealed-Bid Asymmetric Auction When Two Bidders Have Respective CRRA and General Utility Functions
Discrete Dynamics in Nature and Society
title A First-Price Sealed-Bid Asymmetric Auction When Two Bidders Have Respective CRRA and General Utility Functions
title_full A First-Price Sealed-Bid Asymmetric Auction When Two Bidders Have Respective CRRA and General Utility Functions
title_fullStr A First-Price Sealed-Bid Asymmetric Auction When Two Bidders Have Respective CRRA and General Utility Functions
title_full_unstemmed A First-Price Sealed-Bid Asymmetric Auction When Two Bidders Have Respective CRRA and General Utility Functions
title_short A First-Price Sealed-Bid Asymmetric Auction When Two Bidders Have Respective CRRA and General Utility Functions
title_sort first price sealed bid asymmetric auction when two bidders have respective crra and general utility functions
url http://dx.doi.org/10.1155/2021/5592402
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AT mingminggong firstpricesealedbidasymmetricauctionwhentwobiddershaverespectivecrraandgeneralutilityfunctions
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