Asymmetry and revenue in second-price auctions: a majorization approach

Chen, Jihui; Xu, Maochao

doi:10.1007/s12197-014-9286-2

Cited by 2 publications

(1 citation statement)

References 37 publications

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“…In general, auction can be classified into open ascending price auction (English auction), open descending price auction (Dutch auction), sealed first-price auction (FPA), sealed second-price auction (SPA) and so on (see the monograph Krishna [16]). Recently, there have been some recent works concentrated on the effect of bidders' asymmetries on revenue in FPA and SPA (see [8,9,12]). For example, Chen and Xu studied the effect of bidder asymmetry on the revenue in SPA with the help of the useful tool of majorization.…”

Section: Auction Theorymentioning

confidence: 99%

Comparisons on Largest Order Statistics From Heterogeneous Gamma Samples

Zhang

Zhao

2020

Prob. Eng. Inf. Sci.

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This paper deals with stochastic comparisons of the largest order statistics arising from two sets of independent and heterogeneous gamma samples. It is shown that the weak supermajorization order between the vectors of scale parameters together with the weak submajorization order between the vectors of shape parameters imply the reversed hazard rate ordering between the corresponding maximum order statistics. We also establish sufficient conditions of the usual stochastic ordering in terms of the p-larger order between the vectors of scale parameters and the weak submajorization order between the vectors of shape parameters. Numerical examples and applications in auction theory and reliability engineering are provided to illustrate these results.

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Section: Auction Theorymentioning

confidence: 99%