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Surrogate Scoring Rules

Published: 13 July 2020 Publication History

Abstract

Strictly proper scoring rules (SPSR) are incentive compatible for eliciting information about random variables from strategic agents when the principal can reward agents after the realization of the random variables. They also quantify the quality of elicited information, with more accurate predictions receiving higher scores in expectation. In this paper, we extend such scoring rules to settings where a principal elicits private probabilistic beliefs but only has access to agents' reports. We name our solution Surrogate Scoring Rules (SSR). SSR build on a bias correction step and an error rate estimation procedure for a reference answer defined using agents' reports. We show that, with a single bit of information about the prior distribution of the random variables, SSR in a multi-task setting recover SPSR in expectation, as if having access to the ground truth. Therefore, a salient feature of SSR is that they quantify the quality of information despite the lack of ground truth, just as SPSR do for the setting with ground truth. As a by-product, SSR induce dominant truthfulness in reporting. Our method is verified both theoretically and empirically using data collected from real human forecasters.

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cover image ACM Conferences
EC '20: Proceedings of the 21st ACM Conference on Economics and Computation
July 2020
937 pages
ISBN:9781450379755
DOI:10.1145/3391403
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than the author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

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Publication History

Published: 13 July 2020

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Author Tags

  1. dominant strategy incentive compatibility
  2. information calibration
  3. information elicitation without verification
  4. peer prediction
  5. strictly proper scoring rules

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EC '20: The 21st ACM Conference on Economics and Computation
July 13 - 17, 2020
Virtual Event, Hungary

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Overall Acceptance Rate 664 of 2,389 submissions, 28%

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  • (2023)Decentralized justice: state of the art, recurring criticisms and next-generation research topicsFrontiers in Blockchain10.3389/fbloc.2023.12040906Online publication date: 9-Oct-2023
  • (2023)Measurement Integrity in Peer Prediction: A Peer Assessment Case StudyProceedings of the 24th ACM Conference on Economics and Computation10.1145/3580507.3597744(369-389)Online publication date: 9-Jul-2023
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  • (2023)Talent Spotting in Crowd PredictionJudgment in Predictive Analytics10.1007/978-3-031-30085-1_6(135-184)Online publication date: 3-Jun-2023
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