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Constant Approximation for Private Interdependent Valuations

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Alon Eden, Michal Feldman, Kira Goldner, Simon Mauras, Divyarthi Mohan

Computer Science and Game Theory · Submitted 2 Oct 2023

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In this paper we show that this setting admits a constant factor approximation, settling the open question raised by Eden et al. (2022).

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arXiv ID2310.00958 (version 1)
Pith IDEHJILLE4, Pith's permanent record of this paper and its review
CitationAlon Eden, Divyarthi Mohan, Kira Goldner, Michal Feldman, Simon Mauras. "Constant Approximation for Private Interdependent Valuations." arXiv:2310.00958 (2023). https://pith.science/paper/EHJILLE4
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,819 input tokens.

What the abstract itself states, as probabilities: claims first 0.13 · states limitation 0.07 · human participants 0.03 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.83 · compares with prior results 0.95 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

The celebrated model of auctions with interdependent valuations, introduced by Milgrom and Weber in 1982, has been studied almost exclusively under private signals $s_1, \ldots, s_n$ of the $n$ bidders and public valuation functions $v_i(s_1, \ldots, s_n)$. Recent work in TCS has shown that this setting admits a constant approximation to the optimal social welfare if the valuations satisfy a natural property called submodularity over signals (SOS). More recently, Eden et al. (2022) have extended the analysis of interdependent valuations to include settings with private signals and private valuations, and established $O(\log^2 n)$-approximation for SOS valuations. In this paper we show that this setting admits a constant factor approximation, settling the open question raised by Eden et al. (2022).

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 The celebrated model of auctions with interdependent valuations, introduced by Milgrom and Weber in 1982, has been studied almost exclusively under private signals $s_1, \ldots, s_n$ of the $n$ bidders and public valuation functions $v_i(s_1, \ldots, s_n)$. background 1.00 0.03 0.02 asserted 1.00
s1 Recent work in TCS has shown that this setting admits a constant approximation to the optimal social welfare if the valuations satisfy a natural property called submodularity over signals (SOS). background 1.00 0.06 0.03 asserted 1.00
s2 More recently, Eden et al. (2022) have extended the analysis of interdependent valuations to include settings with private signals and private valuations, and established $O(\log^2 n)$-approximation for SOS valuations. background 0.92 0.03 0.02 asserted 1.00
s3 In this paper we show that this setting admits a constant factor approximation, settling the open question raised by Eden et al. (2022). result 0.63 0.96 0.97 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.96.

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  • P abstract
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

The celebrated model of auctions with interdependent valuations, introduced by Milgrom and Weber in 1982, has been studied almost exclusively under private signals $s_1, \ldots, s_n$ of the $n$ bidders and public valuation functions $v_i(s_1, \ldots, s_n)$. Recent work in TCS has shown that this setting admits a constant approximation to the optimal social welfare if the valuations satisfy a natural property called submodularity over signals (SOS). More recently, Eden et al. (2022) have extended the analysis of interdependent valuations to include settings with private signals and private valuations, and established $O(\log^2 n)$-approximation for SOS valuations. In this paper we show that this setting admits a constant factor approximation, settling the open question raised by Eden et al. (2022).

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