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PoA of Simple Auctions with Interdependent Values

AAAI 2021 · Learning theory and algorithms › Submodular and game algorithms · approach: Learned auction design · 11 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use GVA under single-crossing and homogeneous influenceSingle-item settings · Single-item, SC and homogeneous influenceB-POA: fully efficientHelped
Use GVA with γ-heterogeneous, c-SC valuationsSingle-item settings · Single-item, γ-heterogeneous, c-SC valuationsB-POA: 1 + max{γ, c}Helped
Use GVA with γ-heterogeneous, SC valuationsSingle-item settings · Single-item, γ-heterogeneous, SC valuationsB-POA: tightly γHelped
Use second-price auction with interdependence under γ-heterogeneity and c-SCSingle-item settings · Single-item, γ-heterogeneous, c-SC valuationsB-POA: max{γ, c} + 1Helped
Allow interdependent values with single-crossing but without information-dispersion restrictionsHighest-valued-bidder allocation auctions · Single-item, SC valuationsPoA: Ω(n)Hurt
Use simultaneous privatized second-price auctions under limited information asymmetryMultiple-item unit-demand settings with n ≥ m · Multiple items, n ≥ mB-POA: O(dγ2)Helped
Allow an extreme concentration of information in one bidderNatural item-by-item highest-value mechanisms, including simultaneous 2PA or GVA · Multiple items, agent 1 holds almost all informationEP-POA: Ω(m)Hurt
Use simultaneous item auctions in the many-items regime without additional coordination guaranteesMulti-item settings with common values · Multiple items, n ≫ mPoA: ˜Ω(log n)Hurt
Assume weighted-sum valuations with symmetric signalsMultiple-item unit-demand settings · Multiple items, weighted-sum valuations, n = mtruncated welfare approximation: (1 + e) g̃OPT ≥ OPTHelped

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