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Pre-announced posted pricing scheme: Existence and uniqueness of equilibrium bidding strategy

Authors
Kim, SeungbeomHuh, Woonghee TimDasu, Sriram
Issue Date
Mar-2015
Publisher
ELSEVIER SCIENCE BV
Keywords
Strategic customers; Posted pricing; Bayesian-Nash equilibrium; Markdown
Citation
OPERATIONS RESEARCH LETTERS, v.43, no.2, pp.151 - 160
Journal Title
OPERATIONS RESEARCH LETTERS
Volume
43
Number
2
Start Page
151
End Page
160
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/10322
DOI
10.1016/j.orl.2014.12.010
ISSN
0167-6377
Abstract
We scrutinize the uniqueness issue of the equilibrium behavior of strategic customers making inter-temporal purchase decisions. We present that multiple equilibria can exist even in the simple setting where two identical customers compete for one unit of item. We prove the existence of a unique symmetric equilibrium when there are no more than three buyers whose valuations follow a uniform distribution. When there are multiple equilibria we show that the bidding strategy having the biggest threshold is Pareto-optimal for buyers. (C) 2014 Elsevier B.V. All rights reserved.
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