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When humans interact with robots influence is inevitable. Consider an autonomous car driving near a human: the speed and steering of the autonomous car will affect how the human drives. Prior works have developed frameworks that enable…

This paper introduces the new concept of (follower) satisfaction in Stackelberg games and compares the standard Stackelberg game with its satisfaction version. Simulation results are presented which suggest that the follower adopting…

Computer Science and Game Theory · Computer Science 2024-08-22 Langford White , Duong Nguyen , Hung Nguyen

Intention recognition is an important characteristic of intelligent agents. In their interactions with others, they try to read others' intentions and make an image of others to choose their actions accordingly. While the way in which…

Optimization and Control · Mathematics 2019-03-27 Yuma Fujimoto , Kunihiko Kaneko

Social media platforms are ecosystems in which many decisions are constantly made for the benefit of the creators in order to maximize engagement, which leads to a maximization of income. The decisions, ranging from collaboration to public…

Computer Science and Game Theory · Computer Science 2025-06-09 Arjan Khadka

We study learning dynamics induced by strategic agents who repeatedly play a game with an unknown payoff-relevant parameter. In this dynamics, a belief estimate of the parameter is repeatedly updated given players' strategies and realized…

Computer Science and Game Theory · Computer Science 2021-09-06 Manxi Wu , Saurabh Amin , Asuman Ozdaglar

We study the problem of Bayesian learning in a dynamical system involving strategic agents with asymmetric information. In a series of seminal papers in the literature, this problem has been investigated under a simplifying model where…

Computer Science and Game Theory · Computer Science 2020-07-09 Deepanshu Vasal , Achilleas Anastasopoulos

Inspired by a military context, we study a Stackelberg production game where a country's government, the leader, wants to maximize the production of military assets. The leader does so by allocating his resources among a set of production…

Optimization and Control · Mathematics 2020-07-17 L. Schlicher , M. Musegaas , H. Blok

It is known that there are uncoupled learning heuristics leading to Nash equilibrium in all finite games. Why should players use such learning heuristics and where could they come from? We show that there is no uncoupled learning heuristic…

Computer Science and Game Theory · Computer Science 2015-04-27 Burkhard C. Schipper

When users stand to gain from certain predictions, they are prone to act strategically to obtain favorable predictive outcomes. Whereas most works on strategic classification consider user actions that manifest as feature modifications, we…

Machine Learning · Computer Science 2024-06-25 Guy Horowitz , Yonatan Sommer , Moran Koren , Nir Rosenfeld

Prior work has studied the computational complexity of computing optimal strategies to commit to in Stackelberg or leadership games, where a leader commits to a strategy which is observed by one or more followers. We extend this setting to…

Computer Science and Game Theory · Computer Science 2024-10-22 Nathaniel Sauerberg , Caspar Oesterheld

Interactions among individuals in natural populations often occur in a dynamically changing environment. Understanding the role of environmental variation in population dynamics has long been a central topic in theoretical ecology and…

Populations and Evolution · Quantitative Biology 2021-05-18 Feng Huang , Ming Cao , Long Wang

We present a new solution concept called evolutionarily stable Stackelberg equilibrium (SESS). We study the Stackelberg evolutionary game setting in which there is a single leading player and a symmetric population of followers. The leader…

Computer Science and Game Theory · Computer Science 2026-03-26 Sam Ganzfried

Motivated by the question of how a principal can maximize its utility in repeated interactions with a learning agent, we study repeated games between an principal and an agent employing a mean-based learning algorithm. Prior work has shown…

Computer Science and Game Theory · Computer Science 2025-10-28 Nivasini Ananthakrishnan , Yuval Dagan , Kunhe Yang

Existing methods for learning Stackelberg equilibria typically assume that the followers' (variational, generalized) Nash equilibrium is unique. However, in the presence of multiple equilibria, without a selection convention, the problem…

Optimization and Control · Mathematics 2026-04-30 Silvia Cianchi , Anibal Sanjab , Sergio Grammatico

In this paper, we introduce the third party to achieve the Stackelberg equilibrium with the time inconsistency in three different Stackelberg games, which are the discrete-time games, the dynamic games, and the mean field games. Here all…

Optimization and Control · Mathematics 2024-07-29 Yiming Jiang , Yawei Wei , Jie Xue

In shared autonomy, a critical tension arises when an automated assistant must choose between obeying a human's instruction and deliberately overriding it to prevent harm. This safety-critical behavior is known as intelligent disobedience.…

Artificial Intelligence · Computer Science 2026-03-24 Benedikt Hornig , Reuth Mirsky

We consider a number of questions related to tradeoffs between reward and regret in repeated gameplay between two agents. To facilitate this, we introduce a notion of $\textit{generalized equilibrium}$ which allows for asymmetric regret…

Computer Science and Game Theory · Computer Science 2023-12-19 William Brown , Jon Schneider , Kiran Vodrahalli

We study games in which a leader makes a single commitment, and then multiple followers (each with a different utility function) respond. In particular, we study ambiguous commitment strategies in these games, in which the leader may commit…

Computer Science and Game Theory · Computer Science 2024-09-10 Natalie Collina , Rabanus Derr , Aaron Roth

Pursuit-evasion games are ubiquitous in nature and in an artificial world. In nature, pursuer(s) and evader(s) are intelligent agents that can learn from experience, and dynamics (i.e., Newtonian or Lagrangian) is vital for the pursuer and…

Systems and Control · Electrical Eng. & Systems 2021-04-06 Hao Xiong , Huanhui Cao , Lin Zhang , Wenjie Lu

Machine learning relies on the assumption that unseen test instances of a classification problem follow the same distribution as observed training data. However, this principle can break down when machine learning is used to make important…

Machine Learning · Computer Science 2015-11-24 Moritz Hardt , Nimrod Megiddo , Christos Papadimitriou , Mary Wootters
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