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In many predictive decision-making scenarios, such as credit scoring and academic testing, a decision-maker must construct a model that accounts for agents' propensity to "game" the decision rule by changing their features so as to receive…

Machine Learning · Computer Science 2022-08-26 Yonadav Shavit , Benjamin Edelman , Brian Axelrod

We study the problem of agent selection in causal strategic learning under multiple decision makers and address two key challenges that come with it. Firstly, while much of prior work focuses on studying a fixed pool of agents that remains…

Artificial Intelligence · Computer Science 2024-02-06 Kiet Q. H. Vo , Muneeb Aadil , Siu Lun Chau , Krikamol Muandet

In this paper, we study a linear-quadratic partially observed Stackelberg stochastic differential game problem in which a single leader and multiple followers are involved. We consider more practical formulation for partial information that…

Optimization and Control · Mathematics 2026-05-14 Yichun Li , Yaozhong Hu , Jingtao Shi , Yueyang Zheng

In this paper, we introduce regularized stochastic team problems. Under mild assumptions, we prove that there exists an unique fixed point of the best response operator, where this unique fixed point is the optimal regularized team decision…

Optimization and Control · Mathematics 2020-11-09 Naci Saldi

This paper tackles the problem of solving stochastic optimization problems with a decision-dependent distribution in the setting of stochastic strongly-monotone games and when the distributional dependence is unknown. A two-stage approach…

Systems and Control · Electrical Eng. & Systems 2024-04-22 Killian Wood , Ahmed Zamzam , Emiliano Dall'Anese

Information design in an incomplete information game includes a designer with the goal of influencing players' actions through signals generated from a designed probability distribution so that its objective function is optimized. We…

Optimization and Control · Mathematics 2023-05-01 Furkan Sezer , Ceyhun Eksin

Learning problems commonly exhibit an interesting feedback mechanism wherein the population data reacts to competing decision makers' actions. This paper formulates a new game theoretic framework for this phenomenon, called "multi-player…

Computer Science and Game Theory · Computer Science 2022-04-08 Adhyyan Narang , Evan Faulkner , Dmitriy Drusvyatskiy , Maryam Fazel , Lillian J. Ratliff

Communication is essential for coordination among humans and animals. Therefore, with the introduction of intelligent agents into the world, agent-to-agent and agent-to-human communication becomes necessary. In this paper, we first study…

Multiagent Systems · Computer Science 2021-03-04 Varun Bhatt , Michael Buro

Stochastic optimization problems often involve data distributions that change in reaction to the decision variables. This is the case for example when members of the population respond to a deployed classifier by manipulating their features…

Optimization and Control · Mathematics 2020-12-15 Dmitriy Drusvyatskiy , Lin Xiao

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 consider linear quadratic optimal control with mean-field type for discrete-time stochastic systems with state and control dependent noise. An optimal control problem is studied for a linear mean-field stochastic…

Optimization and Control · Mathematics 2022-10-06 Arzu Ahmadova , Nazim I. Mahmudov

Decision making in modern large-scale and complex systems such as communication networks, smart electricity grids, and cyber-physical systems motivate novel game-theoretic approaches. This paper investigates big strategic (non-cooperative)…

Computer Science and Game Theory · Computer Science 2016-09-22 Tansu Alpcan , Benjamin I. P. Rubinstein , Christopher Leckie

In this paper, we derive team and person-by-person optimality conditions for distributed differential decision systems with different or decentralized information structures. The necessary conditions of optimality are given in terms of…

Optimization and Control · Mathematics 2013-05-21 Charalambos D. Charalambous , Themistoklis Charalambous , Christoforos N. Hadjicostis

This paper is concerned with a linear-quadratic non-zero sum differential game with asymmetric delayed information. To be specific, two players exist time delays simultaneously which are different, leading the dynamical system being an…

Optimization and Control · Mathematics 2025-10-27 Yuxin Ye , Jingtao Shi

Stochastic dynamic teams and games are rich models for decentralized systems and challenging testing grounds for multi-agent learning. Previous work that guaranteed team optimality assumed stateless dynamics, or an explicit coordination…

Optimization and Control · Mathematics 2024-03-28 Bora Yongacoglu , Gürdal Arslan , Serdar Yüksel

The assignment of personnel to teams is a fundamental and ubiquitous managerial function, typically involving several objectives and a variety of idiosyncratic practical constraints. Despite the prevalence of this task in practice, the…

Optimization and Control · Mathematics 2018-04-03 Hoda Atef Yekta , David Bergman , Robert Day

We study stochastic team (known also as decentralized stochastic control or identical interest stochastic dynamic game) problems with large or countably infinite number of decision makers, and characterize existence and structural…

Optimization and Control · Mathematics 2021-07-08 Sina Sanjari , Naci Saldi , Serdar Yüksel

In the impartial selection problem, a subset of agents up to a fixed size $k$ among a group of $n$ is to be chosen based on votes cast by the agents themselves. A selection mechanism is impartial if no agent can influence its own chance of…

Computer Science and Game Theory · Computer Science 2024-08-06 Javier Cembrano , Svenja M. Griesbach , Maximilian J. Stahlberg

We study stochastic static teams with countably infinite number of decision makers, with the goal of obtaining (globally) optimal policies under a decentralized information structure. We present sufficient conditions to connect the concepts…

Optimization and Control · Mathematics 2020-05-14 Sina Sanjari , Serdar Yüksel

Systems operating in adversarial environments may inadvertently leak sensitive information to adversaries. To address this challenge, we revisit the linear-quadratic control framework and introduce deception to actively mislead adversaries.…

Optimization and Control · Mathematics 2026-04-02 Yerin Kim , Haosheng Zhou , Alexander Benvenuti , Ruimeng Hu , Matthew Hale