2019
DOI: 10.1007/s10726-019-09624-7
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Bidding Decisions with Nonequilibrium Strategic Thinking in Reverse Auctions

Abstract: This paper considers decisions of bidders with bounded rationality in different thinking levels for a first-price sealed-bid reverse auction. To characterize the nonequilibrium strategic thinking, we construct a mathematical model that incorporates the "level-k decision rule" to iteratively derive closed-form solutions. Then the effects of bidders' heterogeneous beliefs of thinking levels on their bid prices and expected payoffs are investigated. We find that under some assumptions, bidders will exhibit oscill… Show more

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Cited by 7 publications
(5 citation statements)
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References 35 publications
(40 reference statements)
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“…For instance, Adomavicius et al 20 discuss the effect of decision complexity on the outcome of combinatorial auctions using the results of an experiment conducted by college students and find that increasing competition forces bidders to find "loopholes" in the auction to obtain a surplus. Qian 21 considers the decisions of boundedly rational bidders at different levels of thinking in a reverse auction with first-price sealed bids and finds that any bidder with more than two levels of thinking should bid according to the strategy of the second-level bidder to achieve the highest expected profit. Gao 22 , 23 constructed a nonlinear function to portray bidders' regret psychology and solved the equilibrium strategy under bidder regret psychology behavior.…”
Section: Literature Reviewmentioning
confidence: 99%
“…For instance, Adomavicius et al 20 discuss the effect of decision complexity on the outcome of combinatorial auctions using the results of an experiment conducted by college students and find that increasing competition forces bidders to find "loopholes" in the auction to obtain a surplus. Qian 21 considers the decisions of boundedly rational bidders at different levels of thinking in a reverse auction with first-price sealed bids and finds that any bidder with more than two levels of thinking should bid according to the strategy of the second-level bidder to achieve the highest expected profit. Gao 22 , 23 constructed a nonlinear function to portray bidders' regret psychology and solved the equilibrium strategy under bidder regret psychology behavior.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Myrna 3 finds that bidders' decisions in practice deviate from the equilibrium solution under rational conditions, and explores the dominant strategic factors explaining the deviations using data from agricultural land auctions in Ukraine. Qian 14 considers the decisions of bounded rational bidders at different levels of thinking in a reverse auction with first-price sealed bids and finds that any bidder with more than two levels of thinking should bid according to the strategy of the secondlevel bidder to achieve the highest expected profit. Gao 15,16 constructed a nonlinear function to portray bidders' regret psychology and solved the equilibrium strategy for bidders' regret psychology behavior.…”
Section: Literature Reviewmentioning
confidence: 99%
“…The effectiveness of the proposed approach is demonstrated with numerical experiments. When bidders involve anticipated regret behavior, Qian et al (2017) constructed a novel model based on regret theory. It analyzed the impact of such boundedly rational behavior on the buyer's expected revenue and proposed to use reserve price strategy to mitigate the adverse effect of winner regret.…”
Section: Literature Reviewmentioning
confidence: 99%
“…It analyzed the impact of such boundedly rational behavior on the buyer's expected revenue and proposed to use reserve price strategy to mitigate the adverse effect of winner regret. When bidders engage in nonequilibrium strategic thinking, Qian et al (2016) proposed using the "Level-k decision rule" to model such bounded rationality. Managerial insights were provided for buyers to determine the winner.…”
Section: Literature Reviewmentioning
confidence: 99%
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