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Related papers: Comparing Different Information Levels

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We add the assumption that players know their opponents' payoff functions and rationality to a model of non-equilibrium learning in signaling games. Agents are born into player roles and play against random opponents every period.…

Theoretical Economics · Economics 2020-01-16 Drew Fudenberg , Kevin He

We introduce the \textit{prophet inequality with uncertain acceptance} model, in which a decision maker sequentially observes a sequence of independent options, each characterized by a value $x_i$ and an acceptance probability $p_i$, both…

Computer Science and Game Theory · Computer Science 2026-03-25 Emile Martinez , Felipe Garrido-Lucero , Umberto Grandi , Sebastian Pérez-Salazar

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

This paper studies a dynamic information acquisition model with payoff externalities. Two players can acquire costly information about an unknown state before taking a safe or risky action. Both information and the action taken are private.…

Theoretical Economics · Economics 2022-07-08 Guo Bai

A decision maker is choosing between an active action (e.g., purchase a house, invest certain stock) and a passive action. The payoff of the active action depends on the buyer's private type and also an unknown state of nature. An…

Computer Science and Game Theory · Computer Science 2021-10-29 Shuze Liu , Weiran Shen , Haifeng Xu

In the classical optimal stopping problem, a player is given a sequence of random variables $X_1\ldots X_n$ with known distributions. After observing the realization of $X_i$, the player can either accept the observed reward from $X_i$ and…

Discrete Mathematics · Computer Science 2020-07-24 Shipra Agrawal , Jay Sethuraman , Xingyu Zhang

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 consider stopping problems in which a decision maker (DM) faces an unknown state of nature and decides sequentially whether to stop and take an irreversible action; pay a fee and obtain additional information; or wait without acquiring…

Theoretical Economics · Economics 2022-05-16 Ehud Lehrer , Tao Wang

Distributed decision-makers are modeled as players in a game with two levels. High level decisions concern the game environment and determine the willingness of the players to form a coalition (or group). Low level decisions involve the…

Computer Science and Game Theory · Computer Science 2013-02-28 Edward A. Billard

We develop a Bayesian model for decision-making under time pressure with endogenous information acquisition. In our model, the decision maker decides when to observe (costly) information by sampling an underlying continuous-time stochastic…

Artificial Intelligence · Computer Science 2016-10-25 Ahmed M. Alaa , Mihaela van der Schaar

A sender with state-independent preferences (i.e., transparent motives) privately observes a signal about the state of the world before sending a message to a receiver, who subsequently takes an action. Regardless of whether the receiver…

Theoretical Economics · Economics 2023-05-03 Mark Whitmeyer

We study a class of two-player repeated games with incomplete information and informational externalities. In these games, two states are chosen at the outset, and players get private information on the pair, before engaging in repeated…

Probability · Mathematics 2010-07-27 Dinah Rosenberg , Eilon Solan , Nicolas Vieille

We present a new notion $R_\ell$ of higher-order common information, which quantifies the information that $\ell\geq 2$ arbitrarily distributed random variables have in common. We provide analytical lower bounds on $R_3$ and $R_4$ for…

Information Theory · Computer Science 2024-06-05 Jan Østergaard

Information and uncertainty are closely related and extensively studied concepts in a number of scientific disciplines such as communication theory, probability theory, and statistics. Increasing the information arguably reduces the…

Probability · Mathematics 2011-08-09 Jiahua Chen

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

We study the algorithmic problem faced by an information holder (seller) who wants to optimally sell such information to a budged-constrained decision maker (buyer) that has to undertake some action. Differently from previous, we consider…

Computer Science and Game Theory · Computer Science 2023-02-01 Matteo Castiglioni , Francesco Bacchiocchi , Alberto Marchesi , Giulia Romano , Nicola Gatti

We study ordinal approximation algorithms for maximum-weight bipartite matchings. Such algorithms only know the ordinal preferences of the agents/nodes in the graph for their preferred matches, but must compete with fully omniscient…

Computer Science and Game Theory · Computer Science 2017-07-07 Elliot Anshelevich , Wennan Zhu

Information foraging connects optimal foraging theory in ecology with how humans search for information. The theory suggests that, following an information scent, the information seeker must optimize the tradeoff between exploration by…

Information Retrieval · Computer Science 2016-11-18 Peter Wittek , Ying-Hsang Liu , Sándor Darányi , Tom Gedeon , Ik Soo Lim

A decision maker repeatedly chooses one of a finite set of actions. In each period, the decision maker's payoff depends on fixed basic payoff of the chosen action and the frequency with which the action has been chosen in the past. We…

Theoretical Economics · Economics 2024-05-02 Galit Ashkenazi-Golan , Dominik Karos , Ehud Lehrer

The Bayesian persuasion model studies communication between an informed sender and a receiver with a payoff-relevant action, emphasizing the ability of a sender to extract maximal surplus from his informational advantage. In this paper we…

Computer Science and Game Theory · Computer Science 2020-06-04 Ronen Gradwohl , Niklas Hahn , Martin Hoefer , Rann Smorodinsky
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