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We consider two-player games played in real time on game structures with clocks and parity objectives. The games are concurrent in that at each turn, both players independently propose a time delay and an action, and the action with the…

Logic in Computer Science · Computer Science 2008-07-09 Krishnendu Chatterjee , Thomas A. Henzinger , Vinayak Prabhu

We give an algorithm for solving stochastic parity games with almost-sure winning conditions on {\it lossy channel systems}, under the constraint that both players are restricted to finite-memory strategies. First, we describe a general…

Logic in Computer Science · Computer Science 2019-03-14 Parosh Aziz Abdulla , Lorenzo Clemente , Richard Mayr , Sven Sandberg

In the context of inverse reinforcement learning (IRL) with a single expert, adversarial inverse reinforcement learning (AIRL) serves as a foundational approach to providing comprehensive and transferable task descriptions. However, AIRL…

Machine Learning · Statistics 2024-12-31 Yangchun Zhang , Wang Zhou , Yirui Zhou

We consider quantitative extensions of the alternating-time temporal logics ATL/ATLs called quantitative alternating-time temporal logics (QATL/QATLs) in which the value of a counter can be compared to constants using equality, inequality…

Logic in Computer Science · Computer Science 2014-09-22 Steen Vester

In general, finite concurrent two-player reachability games are only determined in a weak sense: the supremum probability to win can be approached via stochastic strategies, but cannot be realized. We introduce a class of concurrent games…

Computer Science and Game Theory · Computer Science 2021-07-12 Benjamin Bordais , Patricia Bouyer , Stéphane Le Roux

We present a new approach to solving games with a countably or uncountably infinite number of players. Such games are often used to model multiagent systems with a large number of agents. The latter are frequently encountered in economics,…

Computer Science and Game Theory · Computer Science 2025-01-17 Carlos Martin , Tuomas Sandholm

Consider a 4-player version of Matching Pennies where a team of three players competes against the Devil. Each player simultaneously says "Heads" or "Tails". The team wins if all four choices match; otherwise the Devil wins. If all team…

Computer Science and Game Theory · Computer Science 2026-05-14 Léonard Brice , Thomas A. Henzinger , K. S. Thejaswini

Classic reachability games on graphs are zero-sum games, where the goal of one player, Eve, is to visit a vertex from a given target set, and that of other player, Adam, is to prevent this. Generalised reachability games, studied by…

Computer Science and Game Theory · Computer Science 2025-09-18 Sougata Bose , Daniel Hausmann , Soumyajit Paul , Sven Schewe , Tansholpan Zhanabekova

In many applications, we want to influence the decisions of independent agents by designing incentives for their actions. We revisit a fundamental problem in this area, called GAME IMPLEMENTATION: Given a game in standard form and a set of…

Computer Science and Game Theory · Computer Science 2022-12-02 Jiehua Chen , Sebastian Vincent Haydn , Negar Layegh Khavidaki , Sofia Simola , Manuel Sorge

We study discounted infinitely repeated games in which players agree on a cooperative mixed action profile but, at each step, observe only the realized pure actions. This form of imperfect monitoring breaks classical trigger strategies,…

Applications · Statistics 2026-03-09 Aymeric Capitaine , Antoine Scheid , Etienne Boursier , Alain Durmus , Michael I. Jordan

Consider the following probabilistic one-player game: The board is a graph with $n$ vertices, which initially contains no edges. In each step, a new edge is drawn uniformly at random from all non-edges and is presented to the player,…

Combinatorics · Mathematics 2009-11-20 Michael Belfrage , Torsten Mütze , Reto Spöhel

The optimal value computation for turned-based stochastic games with reachability objectives, also known as simple stochastic games, is one of the few problems in $NP \cap coNP$ which are not known to be in $P$. However, there are some…

Computational Complexity · Computer Science 2014-08-10 David Auger , Pierre COUCHENEY , Yann Strozecki

Approachability has become a standard tool in analyzing earning algorithms in the adversarial online learning setup. We develop a variant of approachability for games where there is ambiguity in the obtained reward that belongs to a set,…

Statistics Theory · Mathematics 2012-02-17 Shie Mannor , Vianney Perchet , Gilles Stoltz

We study two-player multi-weighted reachability games played on a finite directed graph, where an agent, called P1, has several quantitative reachability objectives that he wants to optimize against an antagonistic environment, called P2.…

Computer Science and Game Theory · Computer Science 2025-09-08 Thomas Brihaye , Aline Goeminne

We study a family of reachability problems under waiting-time restrictions in temporal and vertex-colored temporal graphs. Given a temporal graph and a set of source vertices, we find the set of vertices that are reachable from a source via…

Data Structures and Algorithms · Computer Science 2024-12-04 Suhas Thejaswi , Juho Lauri , Aristides Gionis

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

In a two-player zero-sum graph game, the players move a token throughout a graph to produce an infinite play, which determines the winner of the game. Bidding games are graph games in which in each turn, an auction (bidding) determines…

Formal Languages and Automata Theory · Computer Science 2025-07-02 Guy Avni , Suman Sadhukhan

This work studies the behaviors of two large-population teams competing in a discrete environment. The team-level interactions are modeled as a zero-sum game while the agent dynamics within each team is formulated as a collaborative…

Systems and Control · Electrical Eng. & Systems 2024-02-26 Yue Guan , Mohammad Afshari , Panagiotis Tsiotras

Several mobile agents, modelled as deterministic automata, navigate in an infinite line in synchronous rounds. All agents start in the same round. In each round, an agent can move to one of the two neighboring nodes, or stay idle. Agents…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-08 Younan Gao , Andrzej Pelc

Alternating-time temporal logic (ATL$^*$) is a well-established framework for formal reasoning about multi-agent systems. However, while ATL$^*$ can reason about the strategic ability of agents (e.g., some coalition $A$ can ensure that a…

Artificial Intelligence · Computer Science 2024-03-13 Raven Beutner , Bernd Finkbeiner