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We study the incentivized information acquisition problem, where a principal hires an agent to gather information on her behalf. Such a problem is modeled as a Stackelberg game between the principal and the agent, where the principal…

Machine Learning · Computer Science 2023-08-08 Siyu Chen , Jibang Wu , Yifan Wu , Zhuoran Yang

We consider the problem of imitation learning from a finite set of expert trajectories, without access to reinforcement signals. The classical approach of extracting the expert's reward function via inverse reinforcement learning, followed…

Machine Learning · Computer Science 2019-06-10 Ruohan Wang , Carlo Ciliberto , Pierluigi Amadori , Yiannis Demiris

This article introduces a new method for eliciting prior distributions from experts. The method models an expert decision-making process to infer a prior probability distribution for a rare event $A$. More specifically, assuming there…

Methodology · Statistics 2023-07-17 Julia R. Falconer , Eibe Frank , Devon L. L. Polaschek , Chaitanya Joshi

In this paper, we study belief elicitation about an uncertain future event, where the reports will affect a principal's decision. We study two problems that can arise in this setting: (1) Agents may have an interest in the outcome of the…

Computer Science and Game Theory · Computer Science 2023-03-01 Manuel Wuthrich , Mark York , David C. Parkes

How should forecasters be incentivized to acquire the most information when learning takes place over time? We address this question in the context of a novel dynamic mechanism design problem in which a designer incentivizes an expert to…

Theoretical Economics · Economics 2025-12-23 Yingkai Li , Jonathan Libgober

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

We consider the problem of evaluating forecasts of binary events whose predictions are consumed by rational agents who take an action in response to a prediction, but whose utility is unknown to the forecaster. We show that optimizing…

Machine Learning · Computer Science 2023-07-04 Robert Kleinberg , Renato Paes Leme , Jon Schneider , Yifeng Teng

We use Monte Carlo techniques to simulate an organized prediction competition between a group of a scientific experts acting under the influence of a ``self-governing'' prediction reward algorithm. Our aim is to illustrate the advantages of…

Social and Information Networks · Computer Science 2023-05-09 J. O. Gonzalez-Hernandez , Jonathan Marino , Ted Rogers , Brandon Velasco

We introduce and study the persuasive calibration problem, where a principal aims to provide trustworthy predictions about underlying events to a downstream agent to make desired decisions. We adopt the standard calibration framework that…

Machine Learning · Computer Science 2025-04-07 Yiding Feng , Wei Tang

We study misspecified Bayesian learning in principal-agent relationships, where an agent is assessed by an evaluator and rewarded by the market. The agent's outcome depends on their innate ability, costly effort -- whose effectiveness is…

Theoretical Economics · Economics 2025-12-02 Federico Echenique , Anqi Li

We investigate the problem of a principal looking to contract an expert to provide a probability forecast for a categorical event. We assume all experts have a common public prior on the event's probability, but can form more accurate…

Computer Science and Game Theory · Computer Science 2014-04-30 Mark Braverman , Gal Oshri

Performative predictions are forecasts which influence the outcomes they aim to predict, undermining the existence of correct forecasts and standard methods of elicitation and estimation. We show that conditioning forecasts on covariates…

Statistics Theory · Mathematics 2025-10-27 Philip Boeken , Onno Zoeter , Joris M. Mooij

When predicting future events, it is common to issue forecasts that are probabilistic, in the form of probability distributions over the range of possible outcomes. Such forecasts can be evaluated using proper scoring rules. Proper scoring…

Computation · Statistics 2023-05-15 Sam Allen

Decision-makers are often experts of their domain and take actions based on their domain knowledge. Doctors, for instance, may prescribe treatments by predicting the likely outcome of each available treatment. Actions of an expert thus…

Machine Learning · Statistics 2024-03-04 Alihan Hüyük , Qiyao Wei , Alicia Curth , Mihaela van der Schaar

We explore the striking mathematical connections that exist between market scoring rules, cost function based prediction markets, and no-regret learning. We show that any cost function based prediction market can be interpreted as an…

Artificial Intelligence · Computer Science 2010-03-02 Yiling Chen , Jennifer Wortman Vaughan

In public discussions of the quality of forecasts, attention typically focuses on the predictive performance in cases of extreme events. However, the restriction of conventional forecast evaluation methods to subsets of extreme observations…

We investigate the mechanism design problem faced by a principal who hires \emph{multiple} agents to gather and report costly information. Then, the principal exploits the information to make an informed decision. We model this problem as a…

Computer Science and Game Theory · Computer Science 2023-07-13 Federico Cacciamani , Matteo Castiglioni , Nicola Gatti

We study a dynamic game where an expert sends probabilistic forecasts to a decision-maker. The decision-maker verifies these forecasts using a calibration test based on past data. How should the expert send forecasts to maximize her payoff…

Theoretical Economics · Economics 2026-05-13 Atulya Jain , Vianney Perchet

Proper scoring rules have been a subject of growing interest in recent years, not only as tools for evaluation of probabilistic forecasts but also as methods for estimating probability distributions. In this article, we review the…

Statistics Theory · Mathematics 2026-05-12 Kartik Waghmare , Johanna Ziegel

Probability forecasts of events are routinely used in climate predictions, in forecasting default probabilities on bank loans or in estimating the probability of a patient's positive response to treatment. Scoring rules have long been used…

Statistics Theory · Mathematics 2012-02-24 Tze Leung Lai , Shulamith T. Gross , David Bo Shen