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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

We extend the formalism of Conjectural Variations games to Stackelberg games involving multiple leaders and a single follower. To solve these nonconvex games, a common assumption is that the leaders compute their strategies having perfect…

Computer Science and Game Theory · Computer Science 2025-07-24 Francesco Morri , Hélène Le Cadre , Luce Brotcorne

Stackelberg games (SGs) constitute the most fundamental and acclaimed models of strategic interactions involving some form of commitment. Moreover, they form the basis of more elaborate models of this kind, such as, e.g., Bayesian…

Computer Science and Game Theory · Computer Science 2024-05-14 Francesco Bacchiocchi , Matteo Bollini , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

This work studies Stackelberg network interdiction games -- an important class of games in which a defender first allocates (randomized) defense resources to a set of critical nodes on a graph while an adversary chooses its path to attack…

Optimization and Control · Mathematics 2023-01-31 Tien Mai , Avinandan Bose , Arunesh Sinha , Thanh H. Nguyen

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

In increasingly different contexts, it happens that a human player has to interact with artificial players who make decisions following decision-making algorithms. How should the human player play against these algorithms to maximize his…

Computer Science and Game Theory · Computer Science 2022-02-22 Maurizio D 'Andrea

We consider a repeated sequential game between a learner, who plays first, and an opponent who responds to the chosen action. We seek to design strategies for the learner to successfully interact with the opponent. While most previous…

Machine Learning · Computer Science 2020-07-13 Pier Giuseppe Sessa , Ilija Bogunovic , Maryam Kamgarpour , Andreas Krause

We perform a refined complexity-theoretic analysis of three classical problems in the context of Hierarchical Task Network Planning: the verification of a provided plan, whether an executable plan exists, and whether a given state can be…

Computational Complexity · Computer Science 2025-01-23 Cornelius Brand , Robert Ganian , Fionn Mc Inerney , Simon Wietheger

Algorithms for playing in Stackelberg games have been deployed in real-world domains including airport security, anti-poaching efforts, and cyber-crime prevention. However, these algorithms often fail to take into consideration the…

Computer Science and Game Theory · Computer Science 2024-10-15 Keegan Harris , Zhiwei Steven Wu , Maria-Florina Balcan

Bilevel programming problems are often found in practice. In this paper, we handle one such bilevel application problem from the domain of environmental economics. The problem is a Stakelberg game with multiple objectives at the upper…

Computer Science and Game Theory · Computer Science 2013-07-25 Ankur Sinha , Pekka Malo , Anton Frantsev , Kalyanmoy Deb

This paper studies the problem of multi-step manipulative attacks in Stackelberg security games, in which a clever attacker attempts to orchestrate its attacks over multiple time steps to mislead the defender's learning of the attacker's…

Artificial Intelligence · Computer Science 2022-03-02 Thanh H. Nguyen , Arunesh Sinha

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

We study a multi-player one-round game termed Stackelberg Network Pricing Game, in which a leader can set prices for a subset of $m$ priceable edges in a graph. The other edges have a fixed cost. Based on the leader's decision one or more…

Data Structures and Algorithms · Computer Science 2008-02-21 Patrick Briest , Martin Hoefer , Piotr Krysta

Most models of Stackelberg security games assume that the attacker only knows the defender's mixed strategy, but is not able to observe (even partially) the instantiated pure strategy. Such partial observation of the deployed pure strategy…

Computer Science and Game Theory · Computer Science 2015-05-05 Haifeng Xu , Albert X. Jiang , Arunesh Sinha , Zinovi Rabinovich , Shaddin Dughmi , Milind Tambe

Guided cooperation allows intelligent agents with heterogeneous capabilities to work together by following a leader-follower type of interaction. However, the associated control problem becomes challenging when the leader agent does not…

Systems and Control · Electrical Eng. & Systems 2024-02-01 Yuhan Zhao , Quanyan Zhu

Computational advertising has been studied to design efficient marketing strategies that maximize the number of acquired customers. In an increased competitive market, however, a market leader (a leader) requires the acquisition of new…

Computer Science and Game Theory · Computer Science 2019-06-18 Daisuke Hatano , Yuko Kuroki , Yasushi Kawase , Hanna Sumita , Naonori Kakimura , Ken-ichi Kawarabayashi

We consider multi-player graph games with partial-observation and parity objective. While the decision problem for three-player games with a coalition of the first and second players against the third player is undecidable, we present a…

Logic in Computer Science · Computer Science 2014-04-23 Krishnendu Chatterjee , Laurent Doyen

This contribution deals with a two-level discrete decision problem, a so-called Stackelberg strategic game: A Subset Sum setting is addressed with a set $N$ of items with given integer weights. One distinguished player, the leader, may…

Discrete Mathematics · Computer Science 2018-01-12 Ulrich Pferschy , Gaia Nicosia , Andrea Pacifici

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

We study the computational complexity of finding Stackelberg Equilibria in general-sum games, where the set of pure strategies of the leader and the followers are exponentially large in a natrual representation of the problem. In…

Computer Science and Game Theory · Computer Science 2019-09-10 Avrim Blum , Nika Hagtalab , MohammadTaghi Hajiaghayi , Saeed Seddighin