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We study a continuous-time stochastic Stackelberg game in which a leader seeks to accomplish a primary objective while inferring a hidden parameter of a rational follower. The follower solves an entropy-regularized tracking problem and…

Optimization and Control · Mathematics 2025-10-08 Ruimeng Hu , Daniel Ralston , Xu Yang , Haosheng Zhou

An analyst observes the frequency with which an agent takes actions, but not the frequency with which she takes actions conditional on a payoff relevant state. In this setting, we ask when the analyst can rationalize the agent's choices as…

Theoretical Economics · Economics 2023-07-27 Laura Doval , Ran Eilat

We present a method for active inference with partial observations in stochastic systems through incentive design, also known as the leader-follower game. Consider a leader agent who aims to infer a follower agent's type given a finite set…

Systems and Control · Electrical Eng. & Systems 2025-02-12 Xinyi Wei , Chongyang Shi , Shuo Han , Ahmed H. Hemida , Charles A. Kamhoua , Jie Fu

Stackelberg games (SGs) constitute the most fundamental and acclaimed models of strategic interactions involving some form of commitment. Moreover, they form the basis of more elaborate models of this kind, such as, e.g., Bayesian…

Computer Science and Game Theory · Computer Science 2024-05-14 Francesco Bacchiocchi , Matteo Bollini , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

Bayesian experimental design (BED) provides a principled framework for optimizing data collection by choosing experiments that are maximally informative about unknown parameters. However, existing methods cannot deal with the joint…

Machine Learning · Statistics 2026-01-30 Sara Pérez-Vieites , Sahel Iqbal , Simo Särkkä , Dominik Baumann

Implicit stochastic models, where the data-generation distribution is intractable but sampling is possible, are ubiquitous in the natural sciences. The models typically have free parameters that need to be inferred from data collected in…

Machine Learning · Statistics 2020-08-17 Steven Kleinegesse , Michael U. Gutmann

We consider a sender-receiver game with an outside option for the sender. After the cheap talk phase, the receiver makes a proposal to the sender, which the latter can reject. We study situations in which the sender's approval is crucial to…

Optimization and Control · Mathematics 2020-01-22 Françoise Forges , Jérôme Renault

We investigate the strategic behavior of a large population of agents who decide whether to adopt a costly partially effective protection or remain unprotected against the susceptible-infected-susceptible epidemic. In contrast with most…

Systems and Control · Electrical Eng. & Systems 2024-09-05 Ashish R. Hota , Abhisek Satapathi , Urmee Maitra

Information design (ID) explores how a sender influence the optimal behavior of receivers to achieve specific objectives. While ID originates from everyday human communication, existing game-theoretic and machine learning methods often…

Computer Science and Game Theory · Computer Science 2025-02-04 Wenhao Li , Yue Lin , Xiangfeng Wang , Bo Jin , Hongyuan Zha , Baoxiang Wang

In bipartite matching problems, agents on two sides of a graph want to be paired according to their preferences. The stability of a matching depends on these preferences, which in uncertain environments also reflect agents' beliefs about…

Computer Science and Game Theory · Computer Science 2025-11-10 Jonathan Shaki , Jiarui Gan , Sarit Kraus

Experimental design is crucial for inference where limitations in the data collection procedure are present due to cost or other restrictions. Optimal experimental designs determine parameters that in some appropriate sense make the data…

Machine Learning · Statistics 2016-03-11 Panagiotis Tsilifis , Roger G. Ghanem , Paris Hajali

We study the canonical signaling game, endowing the sender with commitment power: before learning the state, sender designs a strategy, which maps the state into a probability distribution over actions. We provide a geometric…

Theoretical Economics · Economics 2025-02-04 Raphael Boleslavsky , Mehdi Shadmehr

It is well known that reinforcement learning can be cast as inference in an appropriate probabilistic model. However, this commonly involves introducing a distribution over agent trajectories with probabilities proportional to exponentiated…

Artificial Intelligence · Computer Science 2021-10-07 David Tolpin , Tomer Dobkin

This paper addresses the question whether model knowledge can guide a defender to appropriate decisions, or not, when an attacker intrudes into control systems. The model-based defense scheme considered in this study, namely Bayesian…

Cryptography and Security · Computer Science 2023-12-08 Hampei Sasahara , Henrik Sandberg

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

Persuasion studies how an informed principal may influence the behavior of agents by the strategic provision of payoff-relevant information. We focus on the fundamental multi-receiver model by Arieli and Babichenko (2019), in which there…

Computer Science and Game Theory · Computer Science 2020-04-01 Matteo Castiglioni , Andrea Celli , Nicola Gatti

A network of agents attempt to learn some unknown state of the world drawn by nature from a finite set. Agents observe private signals conditioned on the true state, and form beliefs about the unknown state accordingly. Each agent may face…

Machine Learning · Computer Science 2015-03-13 Shahin Shahrampour , Mohammad Amin Rahimian , Ali Jadbabaie

We consider the multi-sender persuasion problem: multiple players with informational advantage signal to convince a single self-interested actor to take certain actions. This problem generalizes the seminal Bayesian Persuasion framework and…

Artificial Intelligence · Computer Science 2024-06-21 Safwan Hossain , Tonghan Wang , Tao Lin , Yiling Chen , David C. Parkes , Haifeng Xu

This paper studies a particular sensor network model which involves one single Gaussian source observed by many sensors, subject to additive independent Gaussian observation noise. Sensors communicate with the receiver over an additive…

Information Theory · Computer Science 2013-05-20 Emrah Akyol , Kenneth Rose , Tamer Basar

The digital telecommunications receiver is an important context for inference methodology, the key objective being to minimize the expected loss function in recovering the transmitted information. For that criterion, the optimal decision is…

Information Theory · Computer Science 2018-11-07 Viet Hung Tran
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