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We study online Bayesian persuasion problems in which an informed sender repeatedly faces a receiver with the goal of influencing their behavior through the provision of payoff-relevant information. Previous works assume that the sender has…

Computer Science and Game Theory · Computer Science 2024-11-12 Francesco Bacchiocchi , Matteo Bollini , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

We examine receiver-optimal mechanisms for aggregating information divided across many biased senders. Each sender privately observes an unconditionally independent signal about an unknown state, so no sender can verify another's report. A…

Theoretical Economics · Economics 2025-08-05 James Best , Daniel Quigley , Maryam Saeedi , Ali Shourideh

We study the fundamental problem of allocating indivisible goods to agents with additive preferences. We consider eliciting from each agent only a ranking of her $k$ most preferred goods instead of her full cardinal valuations. We…

Computer Science and Game Theory · Computer Science 2021-05-25 Daniel Halpern , Nisarg Shah

In persuasion problems where the receiver's action is one-dimensional and his utility is single-peaked, optimal signals are characterized by duality, based on a first-order approach to the receiver's problem. A signal is optimal iff the…

Theoretical Economics · Economics 2022-08-31 Anton Kolotilin , Roberto Corrao , Alexander Wolitzky

Selective labels are a common feature of consequential decision-making applications, referring to the lack of observed outcomes under one of the possible decisions. This paper reports work in progress on learning decision policies in the…

Machine Learning · Computer Science 2020-11-04 Dennis Wei

In multi-item screening, optimal selling mechanisms are challenging to characterize and implement, even with full knowledge of valuation distributions. In this paper, we aim to develop tractable, interpretable, and implementable mechanisms…

Theoretical Economics · Economics 2025-10-20 Shixin Wang

We study the problem of selection in the context of Bayesian persuasion. We are given multiple agents with hidden values (or quality scores), to whom resources must be allocated by a welfare-maximizing decision-maker. An intermediary with…

Computer Science and Game Theory · Computer Science 2025-11-18 Yannan Bai , Kamesh Munagala , Yiheng Shen , Davidson Zhu

We consider methods for aggregating preferences that are based on the resolution of discrete optimization problems. The preferences are represented by arbitrary binary relations (possibly weighted) or incomplete paired comparison matrices.…

Optimization and Control · Mathematics 2007-05-23 Pavel Chebotarev , Elena Shamis

Randomized mechanisms, which map a set of bids to a probability distribution over outcomes rather than a single outcome, are an important but ill-understood area of computational mechanism design. We investigate the role of randomized…

Computer Science and Game Theory · Computer Science 2009-04-17 Patrick Briest , Shuchi Chawla , Robert Kleinberg , S. Matthew Weinberg

A monopolist seller of multiple goods screens a buyer whose type is initially unknown to both but drawn from a commonly known distribution. The buyer privately learns about his type via a signal. We derive the seller's optimal mechanism in…

Theoretical Economics · Economics 2021-05-27 Rahul Deb , Anne-Katrin Roesler

A seller posts a price for a single object. The seller's and buyer's values may be interdependent. We characterize the set of payoff vectors across all information structures. Simple feasibility and individual-rationality constraints…

Theoretical Economics · Economics 2025-09-10 Navin Kartik , Weijie Zhong

We consider a model of oligopolistic competition in a market with search frictions, in which competing firms with products of unknown quality advertise how much information a consumer's visit will glean. In the unique symmetric equilibrium…

Probability · Mathematics 2022-05-27 Pak Hung Au , Mark Whitmeyer

An indivisible object may be sold to one of $n$ agents who know their valuations of the object. The seller would like to use a revenue-maximizing mechanism but her knowledge of the valuations' distribution is scarce: she knows only the…

Theoretical Economics · Economics 2020-08-27 Alex Suzdaltsev

This paper analyzes a dynamic interaction between a fully rational, privately informed sender and a boundedly rational, uninformed receiver with memory constraints. The sender controls the flow of information, while the receiver designs a…

Theoretical Economics · Economics 2025-11-12 Qingmin Liu , Yuyang Miao

We consider a monopolist seller with $n$ heterogeneous items, facing a single buyer. The buyer has a value for each item drawn independently according to (non-identical) distributions, and her value for a set of items is additive. The…

Computer Science and Game Theory · Computer Science 2020-08-03 Moshe Babaioff , Nicole Immorlica , Brendan Lucier , S. Matthew Weinberg

We consider a generalization of the third degree price discrimination problem studied in Bergemann et al. (2015), where an intermediary between the buyer and the seller can design market segments to maximize any linear combination of…

Computer Science and Game Theory · Computer Science 2019-12-13 Rachel Cummings , Nikhil R. Devanur , Zhiyi Huang , Xiangning Wang

We consider the problem of choosing the best of $n$ samples, out of a large random pool, when the sampling of each member is associated with a certain cost. The quality (worth) of the best sample clearly increases with $n$, but so do the…

Statistics Theory · Mathematics 2015-06-16 Joseph D. Skufca , Daniel ben-Avraham

Inheritances, divorces or liquidations of companies require common assets to be divided among the entitled parties. Legal methods usually consider the market value of goods, while fair division theory takes into account the parties'…

Computer Science and Game Theory · Computer Science 2023-05-10 Marco Dall'Aglio

We consider training probabilistic classifiers in the case of a large number of classes. The number of classes is assumed too large to perform exact normalisation over all classes. To account for this we consider a simple approach that…

Machine Learning · Statistics 2016-07-08 David Barber , Aleksandar Botev

We characterize the optimal reward functions (scoring rules) that incentivize an agent to acquire information and report it truthfully to the principal. The optimal scoring rules let the agent make a simple binary bet in single-dimensional…

Computer Science and Game Theory · Computer Science 2025-10-03 Jason D. Hartline , Yingkai Li , Liren Shan , Yifan Wu