2015
DOI: 10.1007/978-3-662-48995-6_18
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Applications of $$\alpha $$-Strongly Regular Distributions to Bayesian Auctions

Abstract: Two classes of distributions that are widely used in the analysis of Bayesian auctions are the Monotone Hazard Rate (MHR) and Regular distributions. They can both be characterized in terms of the rate of change of the associated virtual value functions: for MHR distributions the condition is that for valuesCole and Roughgarden introduced the interpolating class of α-Strongly Regular distributions (α-SR distributions for short), for which φ(In this paper, we investigate five distinct auction settings for which … Show more

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Cited by 3 publications
(1 citation statement)
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“…Definition (Uniform Peak Assumption) For every i ∈ B, λ i (0) = λ max . α-SR inverse demand (Definition 1.1) Recently, α-strong regularity has gained some popularity [15,16,24] as an elegant characterization of the class of regular functions, which encompasses most well-studied demand distributions including polynomial (λ(x) = 1 − x…”
Section: Structure Of the Demand And Cost Functionsmentioning
confidence: 99%
“…Definition (Uniform Peak Assumption) For every i ∈ B, λ i (0) = λ max . α-SR inverse demand (Definition 1.1) Recently, α-strong regularity has gained some popularity [15,16,24] as an elegant characterization of the class of regular functions, which encompasses most well-studied demand distributions including polynomial (λ(x) = 1 − x…”
Section: Structure Of the Demand And Cost Functionsmentioning
confidence: 99%