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In dynamic games with asymmetric information structure, the widely used concept of equilibrium is perfect Bayesian equilibrium (PBE). This is expressed as a strategy and belief pair that simultaneously satisfy sequential rationality and…

Computer Science and Game Theory · Computer Science 2016-09-15 Abhinav Sinha , Achilleas Anastasopoulos

We solve for the equilibrium dynamics of information sharing in a large population. Each agent is endowed with signals regarding the likely outcome of a random variable of common concern. Individuals choose the effort with which they search…

Probability · Mathematics 2008-11-20 Darrell Duffie , Semyon Malamud , Gustavo Manso

A researcher allocates a budget of informative tests across multiple unknown attributes to influence a decision-maker. We derive the researcher's equilibrium learning strategy by solving an auxiliary single-player problem. The attribute…

Theoretical Economics · Economics 2025-11-27 Jean-Michel Benkert , Ludmila Matyskova , Egor Starkov

The information bottleneck (IB) method seeks a compressed representation of data that preserves information relevant to a target variable for prediction while discarding irrelevant information from the original data. In its classical…

Information Theory · Computer Science 2026-02-23 Akira Kamatsuka , Takahiro Yoshida

An agent makes decisions based on multiple sources of information. In isolation, each source is well understood, but their correlation is unknown. We study the agent's robustly optimal strategies -- those that give the best possible…

Theoretical Economics · Economics 2024-09-11 Henrique de Oliveira , Yuhta Ishii , Xiao Lin

Human decision-making often involves constrained optimization. As LLM agents are deployed to assist with real-world tasks like travel planning, shopping, and scheduling, they must mirror this capability. We introduce COMPASS, a benchmark…

The proliferation of information disseminated by public/social media has made decision-making highly challenging due to the wide availability of noisy, uncertain, or unverified information. Although the issue of uncertainty in information…

Social and Information Networks · Computer Science 2018-07-18 Jin-Hee Cho , Sibel Adalı

In this paper, we consider active information acquisition when the prediction model is meant to be applied on a targeted subset of the population. The goal is to label a pre-specified fraction of customers in the target or test set by…

Artificial Intelligence · Computer Science 2014-03-17 Sneha Chaudhari , Pankaj Dayama , Vinayaka Pandit , Indrajit Bhattacharya

I study how organisations choose selection procedures in a competitive environment. Two firms compete to hire candidates of unknown productivity from a common pool. Firms simultaneously post a selection procedure which consists of a test…

Theoretical Economics · Economics 2026-05-01 Nathan Hancart

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

We consider the simplified model of strategic allocation of trajectories in the airspace presented in a previous publication. Two types of companies, characterized by different cost functions, compete for allocation of trajectories in the…

Physics and Society · Physics 2016-10-14 Gérald Gurtner , Fabrizio Lillo

We study Bayesian coordination games where agents receive noisy private information over the game's payoff structure, and over each others' actions. If private information over actions is precise, we find that agents can coordinate on…

General Economics · Economics 2019-04-25 Dominik Grafenhofer , Wolfgang Kuhle

Information theory is gaining popularity as a tool to characterize performance of biological systems. However, information is commonly quantified without reference to whether or how a system could extract and use it; as a result,…

Molecular Networks · Quantitative Biology 2016-11-28 Mikhail Tikhonov , Shawn C. Little , Thomas Gregor

We consider a strategic M/M/1 queueing model under a first-come-first-served regime, where customers are split into two classes and class $A$ has priority over class $B$. Customers can decide whether to join the queue or balk, and, in case…

Computer Science and Game Theory · Computer Science 2025-02-11 Maurizio D'Andrea , Marco Scarsini

With a novel search algorithm or assortment planning or assortment optimization algorithm that takes into account a Bayesian approach to information updating and two-stage assortment optimization techniques, the current research provides a…

Theoretical Economics · Economics 2023-07-19 Dipankar Das

An important factor to guarantee a fair use of data-driven recommendation systems is that we should be able to communicate their uncertainty to decision makers. This can be accomplished by constructing prediction intervals, which provide an…

Methodology · Statistics 2019-08-16 Yaniv Romano , Rina Foygel Barber , Chiara Sabatti , Emmanuel J. Candès

Information-theoretic arguments focus on modeling the reliability of information transmission, assuming availability of infinite data at sources, thus ignoring randomness in message generation times at the respective sources. However, in…

Networking and Internet Architecture · Computer Science 2009-09-29 K. C. V. Kalyanarama Sesha Sayee

The Schwarz or Bayesian information criterion (BIC) is one of the most widely used tools for model comparison in social science research. The BIC however is not suitable for evaluating models with order constraints on the parameters of…

Methodology · Statistics 2019-05-01 Joris Mulder , Adrian E. Raftery

A bilevel optimization problem consists of two optimization problems nested as an upper- and a lower-level problem, in which the optimality of the lower-level problem defines a constraint for the upper-level problem. This paper considers…

Machine Learning · Computer Science 2026-02-27 Takuya Kanayama , Yuki Ito , Tomoyuki Tamura , Masayuki Karasuyama

System correctness is one of the most crucial and challenging objectives in software and hardware systems. With the increasing evolution of connected and distributed systems, ensuring their correctness requires the use of formal…

Logic in Computer Science · Computer Science 2023-10-05 Vadim Malvone