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Stackelberg games, widely applied in domains like economics and security, involve asymmetric interactions where a leader's strategy drives follower responses. Accurately modeling these dynamics allows domain experts to optimize strategies…

Artificial Intelligence · Computer Science 2025-07-01 Kuang-Da Wang , Ping-Chun Hsieh , Wen-Chih Peng

We consider the problem of efficiently learning to play single-leader multi-follower Stackelberg games when the leader lacks knowledge of the lower-level game. Such games arise in hierarchical decision-making problems involving…

Systems and Control · Electrical Eng. & Systems 2025-12-11 Anna Maddux , Marko Maljkovic , Nikolas Geroliminis , Maryam Kamgarpour

I study reputation formation in repeated games where player actions endogenously determine the probability the game permanently ends. Permanent exit can render reputation useless even to a patient long-lived player whose actions are…

Theoretical Economics · Economics 2026-02-10 Daniel Luo

We study a Stackelberg game to examine how two agents determine to cooperate while competing with each other. Each selects an arrival time to a destination, the earlier one fetching a higher reward. There is, however, an inherent penalty in…

Computer Science and Game Theory · Computer Science 2024-07-30 Chenlan Wang , Mehrdad Moharrami , Mingyan Liu

The partial alignment and conflict of autonomous agents lead to mixed-motive scenarios in many real-world applications. However, agents may fail to cooperate in practice even when cooperation yields a better outcome. One well known reason…

Artificial Intelligence · Computer Science 2025-03-20 Shuhui Zhu , Baoxiang Wang , Sriram Ganapathi Subramanian , Pascal Poupart

In many game-theoretic settings, agents are challenged with taking decisions against the uncertain behavior exhibited by others. Often, this uncertainty arises from multiple sources, e.g., incomplete information, limited computation,…

Computer Science and Game Theory · Computer Science 2025-07-22 Nicolas Lanzetti , Sylvain Fricker , Saverio Bolognani , Florian Dörfler , Dario Paccagnan

We study online learning in Bayesian Stackelberg games, where a leader repeatedly interacts with a follower whose unknown private type is independently drawn at each round from an unknown probability distribution. The goal is to design…

Computer Science and Game Theory · Computer Science 2026-02-03 Matteo Bollini , Francesco Bacchiocchi , Samuel Coutts , Matteo Castiglioni , Alberto Marchesi

We study Stackelberg games where a principal repeatedly interacts with a non-myopic long-lived agent, without knowing the agent's payoff function. Although learning in Stackelberg games is well-understood when the agent is myopic, dealing…

Computer Science and Game Theory · Computer Science 2025-05-29 Nika Haghtalab , Thodoris Lykouris , Sloan Nietert , Alexander Wei

Randomized experiments can be susceptible to selection bias due to potential non-compliance by the participants. While much of the existing work has studied compliance as a static behavior, we propose a game-theoretic model to study…

Machine Learning · Computer Science 2021-07-29 Daniel Ngo , Logan Stapleton , Vasilis Syrgkanis , Zhiwei Steven Wu

Trajectory guidance requires a leader robotic agent to assist a follower robotic agent to cooperatively reach the target destination. However, planning cooperation becomes difficult when the leader serves a family of different followers and…

Robotics · Computer Science 2024-03-19 Yuhan Zhao , Quanyan Zhu

In human-robot teams, humans often start with an inaccurate model of the robot capabilities. As they interact with the robot, they infer the robot's capabilities and partially adapt to the robot, i.e., they might change their actions based…

Robotics · Computer Science 2017-06-15 Stefanos Nikolaidis , Swaprava Nath , Ariel D. Procaccia , Siddhartha Srinivasa

We study the interpersonal trust of a population of agents, asking whether chance may decide if a population ends up in a high trust or low trust state. We model this by a discrete time, random matching stochastic coordination game. Agents…

Physics and Society · Physics 2024-05-20 Benedikt V. Meylahn , Arnoud V. den Boer , Michel Mandjes

A simple model for cooperation between "selfish" agents, which play an extended version of the Prisoner's Dilemma(PD) game, in which they use arbitrary payoffs, is presented and studied. A continuous variable, representing the probability…

Condensed Matter · Physics 2009-11-10 H. Fort

We study interpersonal trust by means of the all-or-nothing public goods game between agents on a network. The agents are endowed with the simple yet adaptive learning rule, exponential moving average, by which they estimate the behavior of…

Computer Science and Game Theory · Computer Science 2024-12-31 Benedikt Valentin Meylahn

Principal-agent problems model scenarios where a principal incentivizes an agent to take costly, unobservable actions through the provision of payments. Such problems are ubiquitous in several real-world applications, ranging from…

Computer Science and Game Theory · Computer Science 2025-02-27 Francesco Bacchiocchi , Jiarui Gan , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

With the constraint of a no regret follower, will the players in a two-player Stackelberg game still reach Stackelberg equilibrium? We first show when the follower strategy is either reward-average or transform-reward-average, the two…

Computer Science and Game Theory · Computer Science 2024-08-27 Xiangge Huang , Jingyuan Li , Jiaqing Xie

Game theory serves as a powerful tool for distributed optimization in multi-agent systems in different applications. In this paper we consider multi-agent systems that can be modeled by means of potential games whose potential function…

Optimization and Control · Mathematics 2018-04-13 Tatiana Tatarenko

Remote estimation is a crucial element of real time monitoring of a stochastic process. While most of the existing works have concentrated on obtaining optimal sampling strategies, motivated by malicious attacks on cyber-physical systems,…

Information Theory · Computer Science 2024-12-03 Atahan Dokme , Raj Kiriti Velicheti , Melih Bastopcu , Tamer Başar

Many real-world strategic games involve interactions between multiple players. We study a hierarchical multi-player game structure, where players with asymmetric roles can be separated into leaders and followers, a setting often referred to…

Machine Learning · Computer Science 2022-10-25 Yaolong Yu , Haifeng Xu , Haipeng Chen

As predictive models are deployed into the real world, they must increasingly contend with strategic behavior. A growing body of work on strategic classification treats this problem as a Stackelberg game: the decision-maker "leads" in the…

Machine Learning · Computer Science 2022-02-01 Tijana Zrnic , Eric Mazumdar , S. Shankar Sastry , Michael I. Jordan
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