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We analyze a differential game with spatially distributed controls to study a multiregional transboundary pollution problem. The dynamics of the state variable (pollution stock) is defined by a two dimensional parabolic partial differential…

Optimization and Control · Mathematics 2021-03-23 Javier de Frutos , Paula López , Guiomar Martín-Herrán

There is a growing literature on estimating effects of treatment strategies based on the natural treatment that would have been received in the absence of intervention, often dubbed `modified treatment policies' (MTPs). MTPs are sometimes…

Methodology · Statistics 2025-10-08 Zach Shahn

When consequential decisions are informed by algorithmic input, individuals may feel compelled to alter their behavior in order to gain a system's approval. Models of agent responsiveness, termed "strategic manipulation," analyze the…

Machine Learning · Computer Science 2019-05-13 Lily Hu , Nicole Immorlica , Jennifer Wortman Vaughan

A central goal of modern causal inference is estimating heterogeneous treatment effects to answer questions like "how does an intervention affect each unit," rather than only on average. We study this problem with panel-data where we…

Machine Learning · Statistics 2026-05-29 Anay Mehrotra , Phuc Tran , Van H. Vu , Manolis Zampetakis

Abridged abstract: Inert interactions between randomly moving entities and spatial disorder play a crucial role in quantifying the diffusive properties of a system. These interactions affect only the movement of the entities, and examples…

Statistical Mechanics · Physics 2022-09-20 Seeralan Sarvaharman , Luca Giuggioli

Game theory offers an interpretable mathematical framework for modeling multi-agent interactions. However, its applicability in real-world robotics applications is hindered by several challenges, such as unknown agents' preferences and…

Robotics · Computer Science 2023-10-17 Christopher Diehl , Tobias Klosek , Martin Krüger , Nils Murzyn , Torsten Bertram

This paper investigates how certain relationship between observed and counterfactual distributions serves as an identifying condition for treatment effects when the treatment is endogenous, and shows that this condition holds in a range of…

Econometrics · Economics 2023-11-28 Sukjin Han , Haiqing Xu

In many multi-agent systems, agents interact repeatedly and are expected to settle into stable, rational behavior over time. Yet in practice, behavior often drifts, and detecting such deviations in real time remains an open challenge. We…

Computer Science and Game Theory · Computer Science 2026-05-25 Etienne Gauthier , Francis Bach , Michael I. Jordan

Repeated games have a long tradition in the behavioral sciences and evolutionary biology. Recently, strategies were discovered that permit an unprecedented level of control over repeated interactions by enabling a player to unilaterally…

Populations and Evolution · Quantitative Biology 2016-10-25 Alex McAvoy , Christoph Hauert

The evolving landscape of online multiplayer gaming presents unique challenges in assessing the causal impacts of game features. Traditional A/B testing methodologies fall short due to complex player interactions, leading to violations of…

Applications · Statistics 2024-02-15 Yu Zhu , Zehang Richard Li , Yang Su , Zhenyu Zhao

We study the design of experiments with multiple treatment levels, a setting common in clinical trials and online A/B/n testing. Unlike single-treatment studies, practical analyses of multi-treatment experiments typically first select a…

Methodology · Statistics 2025-10-07 Jiachen Xu , Jian Qian , Zijun Gao

Mobile autonomous system (MAS) becomes pervasive especially in the vehicular and robotic networks. Multiple heterogeneous MAS networks can be integrated together as a multi-layer MAS network to offer holistic services. The network…

Systems and Control · Electrical Eng. & Systems 2019-12-10 Juntao Chen , Quanyan Zhu

How coperation between self-interested individuals evolve is a crucial problem, both in biology and in social sciences, that is far from being well understood. Evolutionary game theory is a useful approach to this issue. The simplest model…

Cellular Automata and Lattice Gases · Physics 2007-12-21 H. Fort

We study a generic family of two-player continuous-time nonzero-sum stopping games modeling a war of attrition with symmetric information and stochastic payoffs that depend on an homogeneous linear diffusion. We first show that any…

Optimization and Control · Mathematics 2022-10-18 Jean-Paul Décamps , Fabien Gensbittel , Thomas Mariotti

Data from both a randomized trial and an observational study are sometimes simultaneously available for evaluating the effect of an intervention. The randomized data typically allows for reliable estimation of average treatment effects but…

Methodology · Statistics 2021-12-01 David Cheng , Tianxi Cai

The health effects of environmental exposures have been studied for decades, typically using standard regression models to assess exposure-outcome associations found in observational non-experimental data. We propose and illustrate a…

Applications · Statistics 2017-09-20 Marie-Abele C. Bind , Donald B. Rubin

Algorithmic trading in modern financial markets is widely acknowledged to exhibit strategic, game-theoretic behaviors whose complexity can be difficult to model. A recent series of papers (Chriss, 2024b,c,a, 2025) has made progress in the…

Computer Science and Game Theory · Computer Science 2025-06-10 Michael Kearns , Mirah Shi

When conducting a paired $2\times2$ crossover design, each subject is paired with another subject with similar characteristics. The pair is then randomized to the same sequence of two treatments. That is, the two subjects receive the first…

Statistics Theory · Mathematics 2008-12-18 Laura J. Simon , Vernon M. Chinchilli

We address the challenge of reliable and efficient interaction in autonomous multi-agent systems, where agents must balance long-term strategic objectives with short-term dynamic adaptation. We propose context-triggered contingency games, a…

Robotics · Computer Science 2026-04-01 Kilian Schweppe , Anne-Kathrin Schmuck

In network formation games, agents form edges with each other to maximize their utility. Each agent's utility depends on its private beliefs and its edges in the network. Strategic agents can misrepresent their beliefs to get a better…

Optimization and Control · Mathematics 2024-09-04 Akhil Jalan , Deepayan Chakrabarti