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Prediction markets provide an efficient means to assess uncertain quantities from forecasters. Traditional and competitive strictly proper scoring rules have been shown to incentivize players to provide truthful probabilistic forecasts.…

Computer Science and Game Theory · Computer Science 2012-02-20 SangIn Chun , Ross D. Shachter

We consider mechanisms for truthfully eliciting probabilistic predictions from a group of experts. The standard approach -- using a proper scoring rule to separately reward each expert -- is not robust to collusion: experts may collude to…

Computer Science and Game Theory · Computer Science 2021-09-07 Eric Neyman , Tim Roughgarden

All proper scoring rules incentivize an expert to predict \emph{accurately} (report their true estimate), but not all proper scoring rules equally incentivize \emph{precision}. Rather than treating the expert's belief as exogenously given,…

Computer Science and Game Theory · Computer Science 2021-06-01 Eric Neyman , Georgy Noarov , S. Matthew Weinberg

The quality of probabilistic forecasts is crucial for decision-making under uncertainty. While proper scoring rules incentivize truthful reporting of precise forecasts, they fall short when forecasters face epistemic uncertainty about their…

Machine Learning · Computer Science 2025-07-18 Anurag Singh , Siu Lun Chau , Krikamol Muandet

Our aim is to design mechanisms that motivate all agents to reveal their predictions truthfully and promptly. For myopic agents, proper scoring rules induce truthfulness. However, as has been described in the literature, when agents take…

Computer Science and Game Theory · Computer Science 2019-12-05 Amir Ban

We initiate the study of incentive-compatible forecasting competitions in which multiple forecasters make predictions about one or more events and compete for a single prize. We have two objectives: (1) to incentivize forecasters to report…

Computer Science and Game Theory · Computer Science 2021-09-09 Jens Witkowski , Rupert Freeman , Jennifer Wortman Vaughan , David M. Pennock , Andreas Krause

Proper scoring rules incentivize experts to accurately report beliefs, assuming predictions cannot influence outcomes. We relax this assumption and investigate incentives when predictions are performative, i.e., when they can influence the…

Artificial Intelligence · Computer Science 2023-05-31 Caspar Oesterheld , Johannes Treutlein , Emery Cooper , Rubi Hudson

Scoring rules for eliciting expert predictions of random variables are usually developed assuming that experts derive utility only from the quality of their predictions (e.g., score awarded by the rule, or payoff in a prediction market). We…

Computer Science and Game Theory · Computer Science 2011-06-14 Craig Boutilier

Proper scoring rules elicit truth-telling when making predictions, or otherwise revealing information. However, when multiple predictions are made of the same event, telling the truth is in general no longer optimal, as agents are motivated…

Computer Science and Game Theory · Computer Science 2017-07-04 Amir Ban

Prediction markets aggregate agents' beliefs regarding a future event, where each agent is paid based on the accuracy of its reported belief when compared to the realized outcome. Agents may strategically manipulate the market (e.g., delay…

Computer Science and Game Theory · Computer Science 2012-12-27 Ayman Ghoneim , Robert C. Williamson

Eliciting reliable human feedback is essential for many machine learning tasks, such as learning from noisy labels and aligning AI systems with human preferences. Peer prediction mechanisms incentivize truthful reporting without ground…

Computer Science and Game Theory · Computer Science 2026-03-24 Yichi Zhang , Shengwei Xu , David Pennock , Grant Schoenebeck

Societies often rely on human experts to take a wide variety of decisions affecting their members, from jail-or-release decisions taken by judges and stop-and-frisk decisions taken by police officers to accept-or-reject decisions taken by…

Machine Learning · Statistics 2018-05-29 Isabel Valera , Adish Singla , Manuel Gomez Rodriguez

We investigate the behavior of experts who seek to make predictions with maximum impact on an audience. At a known future time, a certain continuous random variable will be realized. A public prediction gradually converges to the outcome,…

Computer Science and Game Theory · Computer Science 2017-10-03 Amir Ban , Yossi Azar , Yishay Mansour

Peer prediction mechanisms incentivize agents to truthfully report their signals even in the absence of verification by comparing agents' reports with those of their peers. In the detail-free multi-task setting, agents respond to multiple…

Computer Science and Game Theory · Computer Science 2021-08-27 Grant Schoenebeck , Fang-Yi Yu

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…

Computer Science and Game Theory · Computer Science 2020-06-09 Yang Liu , Juntao Wang , Yiling Chen

Proper scoring rules are used to assess the out-of-sample accuracy of probabilistic forecasts, with different scoring rules rewarding distinct aspects of forecast performance. Herein, we re-investigate the practice of using proper scoring…

When eliciting opinions from a group of experts, traditional devices used to promote honest reporting assume that there is an observable future outcome. In practice, however, this assumption is not always reasonable. In this paper, we…

Multiagent Systems · Computer Science 2013-10-23 Arthur Carvalho , Stanko Dimitrov , Kate Larson

In situations where forecasters are scored on the quality of their probabilistic predictions, it is standard to use `proper' scoring rules to perform such scoring. These rules are desirable because they give forecasters no incentive to lie…

Methodology · Statistics 2020-08-25 Spencer Greenberg

Decision makers often need to rely on imperfect probabilistic forecasts. While average performance metrics are typically available, it is difficult to assess the quality of individual forecasts and the corresponding utilities. To convey…

Machine Learning · Statistics 2021-03-03 Shengjia Zhao , Stefano Ermon

Prediction markets elicit and aggregate beliefs by paying agents based on how close their predictions are to a verifiable future outcome. However, outcomes of many important questions are difficult to verify or unverifiable, in that the…

Computer Science and Game Theory · Computer Science 2025-02-19 Siddarth Srinivasan , Ezra Karger , Yiling Chen
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