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We study the problem of selling information to a data-buyer who faces a decision problem under uncertainty. We consider the classic Bayesian decision-theoretic model pioneered by [Blackwell, 1951, 1953]. Initially, the data buyer has only…

Computer Science and Game Theory · Computer Science 2022-02-21 Dirk Bergemann , Yang Cai , Grigoris Velegkas , Mingfei Zhao

Interactions between people are the basis on which the structure of our society arises as a complex system and, at the same time, are the starting point of any physical description of it. In the last few years, much theoretical research has…

Computer Science and Game Theory · Computer Science 2017-12-06 Mattia Mazzoli , Angel Sanchez

In this paper, we explore a scenario where a sender provides an information policy and a receiver, upon observing a realization of this policy, decides whether to take a particular action, such as making a purchase. The sender's objective…

Numerical Analysis · Mathematics 2024-12-13 Jorge Justiniano , Andreas Kleiner , Benny Moldovanu , Martin Rumpf , Philipp Strack

Bayesian optimal experiments that maximize the information gained from collected data are critical to efficiently identify behavioral models. We extend a seminal method for designing Bayesian optimal experiments by introducing two…

Applications · Statistics 2025-03-19 Stefano Balietti , Brennan Klein , Christoph Riedl

Information and free-energy maximization are physics principles that provide general rules for an agent to optimize actions in line with specific goals and policies. These principles are the building blocks for designing decision-making…

Machine Learning · Computer Science 2025-03-21 Alex Barbier-Chebbah , Christian L. Vestergaard , Jean-Baptiste Masson

Designing distributed algorithms for multi-agent problems is vital for many emerging application domains, and game-theoretic approaches are emerging as a useful paradigm to design such algorithms. However, much of the emphasis of the…

Systems and Control · Electrical Eng. & Systems 2024-05-03 Rohit Konda , Rahul Chandan , David Grimsman , Jason R. Marden

Communication or influence networks are probably the most controllable of all factors that are known to impact on the problem-solving capability of task-forces. In the case connections are costly, it is necessary to implement a policy to…

Multiagent Systems · Computer Science 2019-09-10 Sandro M. Reia , Paulo F. Gomes , José F. Fontanari

In this paper we formulate and study an optimal switching problem under partial information. In our model the agent/manager/investor attempts to maximize the expected reward by switching between different states/investments. However, he is…

Optimization and Control · Mathematics 2014-03-10 Kai Li , Kaj Nyström , Marcus Olofsson

This paper is concerned with the stochastic linear quadratic Stackelberg differential game with overlapping information, where the diffusion terms contain the control and state variables. Here the term "overlapping" means that there are…

Optimization and Control · Mathematics 2018-05-01 Jingtao Shi , Guangchen Wang , Jie Xiong

In this paper we study the optimal formation control of multiple agents whose interaction parameters are adjusted upon a cost function consisting of both the control energy and the geometrical performance. By optimizing the interaction…

Systems and Control · Computer Science 2015-03-17 Huang Huang , Changbin Yu

We derive the revenue-optimal efficient (welfare-maximizing) mechanism in a general multidimensional mechanism design setting when type spaces -- that is, the underlying domains from which agents' values come from -- can capture arbitrarily…

Computer Science and Game Theory · Computer Science 2025-05-21 Siddharth Prasad , Maria-Florina Balcan , Tuomas Sandholm

This paper analyzes the information disclosure problems originated in economics through the lens of information theory. Such problems are radically different from the conventional communication paradigms in information theory since they…

Information Theory · Computer Science 2016-11-15 Emrah Akyol , Cedric Langbort , Tamer Basar

Imitation is widely observed in populations of decision-making agents. Using our recent convergence results for asynchronous imitation dynamics on networks, we consider how such networks can be efficiently driven to a desired equilibrium…

Computer Science and Game Theory · Computer Science 2017-04-17 James Riehl , Pouria Ramazi , Ming Cao

We study the general problem of Bayesian persuasion (optimal information design) with continuous actions and continuous state space in arbitrary dimensions. First, we show that with a finite signal space, the optimal information design is…

General Economics · Economics 2021-03-10 Semyon Malamud , Anna Cieslak , Andreas Schrimpf

This paper studies the design of optimal proper scoring rules when the principal has partial knowledge of an agent's signal distribution. Recent work characterizes the proper scoring rules that maximize the increase of an agent's payoff…

Computer Science and Game Theory · Computer Science 2024-10-15 Yiling Chen , Fang-Yi Yu

Learning cooperative policies for multi-agent systems is often challenged by partial observability and a lack of coordination. In some settings, the structure of a problem allows a distributed solution with limited communication. Here, we…

Systems and Control · Computer Science 2017-08-01 Roel Dobbe , David Fridovich-Keil , Claire Tomlin

We consider a model of a data broker selling information to a single agent to maximize his revenue. The agent has a private valuation of the additional information, and upon receiving the signal from the data broker, the agent can conduct…

Theoretical Economics · Economics 2023-08-08 Yingkai Li

We study a natural competitive-information-design strategic variant for the celebrated Pandora's Box problem (Weitzman, 1979), where each box is associated with a strategic information sender who can design what information about the box's…

Computer Science and Game Theory · Computer Science 2025-02-25 Bolin Ding , Yiding Feng , Chien-Ju Ho , Wei Tang , Haifeng Xu

We study mechanism design when a designer repeatedly uses a fixed mechanism to interact with strategic agents who learn from observing their allocations. We introduce a static framework, calibrated mechanism design, requiring mechanisms to…

Theoretical Economics · Economics 2026-02-19 Laura Doval , Alex Smolin

We study a variant of the principal-agent problem in which the principal does not directly observe the agent's effort outcome; rather, she gets a signal about the agent's action according to a variable information structure designed by a…

Computer Science and Game Theory · Computer Science 2024-09-06 Yakov Babichenko , Inbal Talgam-Cohen , Haifeng Xu , Konstantin Zabarnyi