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This paper studies a language-based opacity enforcement in a two-player, zero-sum game on a graph. In this game, player 1 (P1) wins if it can achieve a secret temporal goal described by the language of a finite automaton, no matter what…

Systems and Control · Electrical Eng. & Systems 2023-04-05 Chongyang Shi , Abhishek N. Kulkarni , Hazhar Rahmani , Jie Fu

Many real-world decision problems involve the interaction of multiple self-interested agents with limited sensing ability. The partially observable stochastic game (POSG) provides a mathematical framework for modeling these problems,…

Computer Science and Game Theory · Computer Science 2024-10-30 Tyler Becker , Zachary Sunberg

Ensuring that AI systems make strategic decisions aligned with the specified preferences in adversarial sequential interactions is a critical challenge for developing trustworthy AI systems, especially when the environment is stochastic and…

Computer Science and Game Theory · Computer Science 2025-01-28 Abhishek Ninad Kulkarni , Jie Fu , Ufuk Topcu

Pursuit-evasion scenarios appear widely in robotics, security domains, and many other real-world situations. We focus on two-player pursuit-evasion games with concurrent moves, infinite horizon, and discounted rewards. We assume that the…

Computer Science and Game Theory · Computer Science 2016-08-05 Karel Horák , Branislav Bošanský

Stochastic two-player games model systems with an environment that is both adversarial and stochastic. The adversarial part of the environment is modeled by a player (Player 2) who tries to prevent the system (Player 1) from achieving its…

Computer Science and Game Theory · Computer Science 2025-06-11 Laurent Doyen , Pranshu Gaba , Shibashis Guha

In \emph{zero-sum two-player hidden stochastic games}, players observe partial information about the state. We address: $(i)$ the existence of the \emph{uniform value}, i.e., a limiting average payoff that both players can guarantee for…

Optimization and Control · Mathematics 2026-02-09 Krishnendu Chatterjee , David Lurie , Raimundo Saona , Bruno Ziliotto

We consider concurrent games played on graphs. At every round of a game, each player simultaneously and independently selects a move; the moves jointly determine the transition to a successor state. Two basic objectives are the safety…

Computer Science and Game Theory · Computer Science 2012-07-03 Krishnendu Chatterjee , Luca de Alfaro , Thomas A. Henzinger

Mean-payoff games are important quantitative models for open reactive systems. They have been widely studied as games of full observation. In this paper we investigate the algorithmic properties of several sub-classes of mean-payoff games…

Computer Science and Game Theory · Computer Science 2017-10-10 Paul Hunter , Arno Pauly , Guillermo A. Pérez , Jean-François Raskin

We consider a class of infinite-state stochastic games generated by stateless pushdown automata (or, equivalently, 1-exit recursive state machines), where the winning objective is specified by a regular set of target configurations and a…

Computer Science and Game Theory · Computer Science 2011-05-11 Tomáš Brázdil , Václav Brožek , Antonín Kučera , Jan Obdržálek

Network systems often contain vulnerabilities that remain unfixed in a network for various reasons, such as the lack of a patch or knowledge to fix them. With the presence of such residual vulnerabilities, the network administrator should…

Cryptography and Security · Computer Science 2022-11-04 Narges Khakpour , David Parker

We study decision-making with rational inattention in settings where agents have perception constraints. In such settings, inaccurate prior beliefs or models of others may lead to inattention blindness, where an agent is unaware of its…

Computer Science and Game Theory · Computer Science 2025-10-06 Mustafa O. Karabag , Jesse Milzman , Ufuk Topcu

Two-player (antagonistic) games on (possibly stochastic) graphs are a prevalent model in theoretical computer science, notably as a framework for reactive synthesis. Optimal strategies may require randomisation when dealing with inherently…

Computer Science and Game Theory · Computer Science 2024-11-25 James C. A. Main , Mickael Randour

Two-player stochastic games are games with two 2 players and a randomised entity called "nature". A natural question to ask in this framework is the existence of strategies that ensure that an event happens with probability 1 (almost-sure…

Computer Science and Game Theory · Computer Science 2018-06-27 Youssouf Oualhadj , Léo Tible , Daniele Varacca

We define a game on 1-safe Petri nets, where a user plays against an environment in order to reach a goal on the system. The goal is expressed through an LTL-X formula, and represents a behaviour of the system that the user needs to…

Formal Languages and Automata Theory · Computer Science 2022-04-05 Federica Adobbati , Luca Bernardinello , Lucia Pomello

Stochastic games are fundamental in various applications, including the control of cyber-physical systems (CPS), where both controller and environment are modeled as players. Traditional algorithms typically aim to determine a single…

Systems and Control · Electrical Eng. & Systems 2025-10-17 Kittiphon Phalakarn , Sasinee Pruekprasert , Ichiro Hasuo

This work considers two-player zero-sum semi-Markov games with incomplete information on one side and perfect observation. At the beginning, the system selects a game type according to a given probability distribution and informs to Player…

Optimization and Control · Mathematics 2021-07-16 Fang Chen , Xianping Guo , Zhong-Wei Liao

In imperfect-information games, agents must make decisions based on partial knowledge of the game state. The Belief Stochastic Game model addresses this challenge by delegating state estimation to the game model itself. This allows agents…

Artificial Intelligence · Computer Science 2025-08-20 Achille Morenville , Éric Piette

This paper studies the optimization of strategies in the context of possibly randomized two players zero-sum games with incomplete information. We compare 5 algorithms for tuning the parameters of strategies over a benchmark of 12 games. A…

Computer Science and Game Theory · Computer Science 2018-07-06 Marie-Liesse Cauwet , Olivier Teytaud

Two-player zero-sum "graph games" are a central model, which proceeds as follows. A token is placed on a vertex of a graph, and the two players move it to produce an infinite "play", which determines the winner or payoff of the game.…

Computer Science and Game Theory · Computer Science 2022-11-28 Guy Avni , Ismael Jecker , Djordje Zikelic

We study two-player security games which can be viewed as sequences of nonzero-sum matrix games played by an Attacker and a Defender. The evolution of the game is based on a stochastic fictitious play process. Players do not have access to…

Computer Science and Game Theory · Computer Science 2010-03-16 Kien C. Nguyen , Tansu Alpcan , Tamer Basar