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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

Recent work on decision making and planning for autonomous driving has made use of game theoretic methods to model interaction between agents. We demonstrate that methods based on the Stackelberg game formulation of this problem are…

Computer Science and Game Theory · Computer Science 2021-03-11 Jack Geary , Subramanian Ramamoorthy , Henry Gouk

Online learning in arbitrary, and possibly adversarial, environments has been extensively studied in sequential decision-making, and it is closely connected to equilibrium computation in game theory. Most existing online learning algorithms…

Machine Learning · Computer Science 2026-03-20 Mingyang Liu , Yongshan Chen , Zhiyuan Fan , Gabriele Farina , Asuman Ozdaglar , Kaiqing Zhang

We study online reinforcement learning in average-reward stochastic games (SGs). An SG models a two-player zero-sum game in a Markov environment, where state transitions and one-step payoffs are determined simultaneously by a learner and an…

Machine Learning · Computer Science 2017-12-05 Chen-Yu Wei , Yi-Te Hong , Chi-Jen Lu

This paper considers two investors who perform mean-variance portfolio selection with asymmetric information: one knows the true stock dynamics, while the other has to infer the true dynamics from observed stock evolution. Their portfolio…

Mathematical Finance · Quantitative Finance 2025-09-05 Yu-Jui Huang , Shihao Zhu

We consider online learning algorithms that guarantee worst-case regret rates in adversarial environments (so they can be deployed safely and will perform robustly), yet adapt optimally to favorable stochastic environments (so they will…

Machine Learning · Computer Science 2021-08-31 Wouter M. Koolen , Peter Grünwald , Tim van Erven

We introduce and study incentive equilibria for multi-player meanpayoff games. Incentive equilibria generalise well-studied solution concepts such as Nash equilibria and leader equilibria (also known as Stackelberg equilibria). Recall that…

Computer Science and Game Theory · Computer Science 2015-11-03 Anshul Gupta , M. S. Krishna Deepak , Bharath Kumar Padarthi , Sven Schewe , Ashutosh Trivedi

The partial monitoring (PM) framework provides a theoretical formulation of sequential learning problems with incomplete feedback. On each round, a learning agent plays an action while the environment simultaneously chooses an outcome. The…

Machine Learning · Computer Science 2024-05-17 Maxime Heuillet , Ola Ahmad , Audrey Durand

We revisit the problem of online learning with sleeping experts/bandits: in each time step, only a subset of the actions are available for the algorithm to choose from (and learn about). The work of Kleinberg et al. (2010) showed that there…

Machine Learning · Computer Science 2021-04-27 Ehsan Emamjomeh-Zadeh , Chen-Yu Wei , Haipeng Luo , David Kempe

This paper characterizes optimal classification when individuals adjust their behavior in response to the classification rule. We model the interaction between a designer and a population as a Stackelberg game: the designer selects a…

Computer Science and Game Theory · Computer Science 2026-01-16 Elizabeth Maggie Penn , John W. Patty

Model-based reinforcement learning (MBRL) has recently gained immense interest due to its potential for sample efficiency and ability to incorporate off-policy data. However, designing stable and efficient MBRL algorithms using rich…

Machine Learning · Computer Science 2021-03-12 Aravind Rajeswaran , Igor Mordatch , Vikash Kumar

An individual's decisions are often guided by those of his or her peers, i.e., neighbors in a social network. Presumably, being privy to the experiences of others aids in learning and decision making, but how much advantage does an…

Machine Learning · Computer Science 2017-04-17 L. Elisa Celis , Farnood Salehi

Much of modern learning theory has been split between two regimes: the classical offline setting, where data arrive independently, and the online setting, where data arrive adversarially. While the former model is often both computationally…

Machine Learning · Statistics 2022-06-01 Adam Block , Yuval Dagan , Noah Golowich , Alexander Rakhlin

Learning theory has largely focused on two main learning scenarios. The first is the classical statistical setting where instances are drawn i.i.d. from a fixed distribution and the second scenario is the online learning, completely…

Machine Learning · Statistics 2011-04-28 Alexander Rakhlin , Karthik Sridharan , Ambuj Tewari

We study stochastic multi-armed bandits with many players. The players do not know the number of players, cannot communicate with each other and if multiple players select a common arm they collide and none of them receive any reward. We…

Machine Learning · Computer Science 2018-09-18 Manjesh K. Hanawal , Sumit J. Darak

Stackelberg Security Games are often used to model strategic interactions in high-stakes security settings. The majority of existing models focus on single-defender settings where a single entity assumes command of all security assets.…

Computer Science and Game Theory · Computer Science 2023-11-29 Zimeng Song , Chun Kai Ling , Fei Fang

This article introduces a class of $Nash$ games among $Stackelberg$ players ($NASPs$), namely, a class of simultaneous non-cooperative games where the players solve sequential Stackelberg games. Specifically, each player solves a…

Computer Science and Game Theory · Computer Science 2025-03-04 Margarida Carvalho , Gabriele Dragotto , Felipe Feijoo , Andrea Lodi , Sriram Sankaranarayanan

Two-player mean-payoff Stackelberg games are nonzero-sum infinite duration games played on a bi-weighted graph by Leader (Player 0) and Follower (Player 1). Such games are played sequentially: first, Leader announces her strategy, second,…

Optimization and Control · Mathematics 2021-08-04 Mrudula Balachander , Shibashis Guha , Jean-François Raskin

Learning to play zero-sum games is a fundamental problem in game theory and machine learning. While significant progress has been made in minimizing external regret in the self-play settings or with full-information feedback, real-world…

Machine Learning · Computer Science 2026-02-09 Shinji Ito , Haipeng Luo , Arnab Maiti , Taira Tsuchiya , Yue Wu

The present survey aims at presenting the current machine learning techniques employed in security games domains. Specifically, we focused on papers and works developed by the Teamcore of University of Southern California, which deepened…

Computer Science and Game Theory · Computer Science 2016-09-30 Giuseppe De Nittis , Francesco Trovò
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