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Partial order reductions have been successfully applied to model checking of concurrent systems and practical applications of the technique show nontrivial reduction in the size of the explored state space. We present a theory of partial…

Logic in Computer Science · Computer Science 2023-06-22 Frederik Meyer Bønneland , Peter Gjøl Jensen , Kim Guldstrand Larsen , Marco Muñiz , Jiří Srba

The efficient and fair distribution of indivisible resources among agents is a common problem in the field of \emph{Multi-Agent-Systems}. We consider a graph-based version of this problem called Reachable Assignments, introduced by Gourves,…

Multiagent Systems · Computer Science 2020-05-06 Luis Müller , Matthias Bentert

Higher-order pushdown systems (PDSs) generalise pushdown systems through the use of higher-order stacks, that is, a nested "stack of stacks" structure. These systems may be used to model higher-order programs and are closely related to the…

Computational Complexity · Computer Science 2015-07-01 Matthew Hague , C. -H. Luke Ong

We study the computational complexity of solving stochastic games with mean-payoff objectives. Instead of identifying special classes in which simple strategies are sufficient to play $\epsilon$-optimally, or form $\epsilon$-Nash…

Computer Science and Game Theory · Computer Science 2024-05-16 Sougata Bose , Rasmus Ibsen-Jensen , Patrick Totzke

Neural networks achieve outstanding accuracy in classification and regression tasks. However, understanding their behavior still remains an open challenge that requires questions to be addressed on the robustness, explainability and…

Machine Learning · Computer Science 2021-05-13 Anna-Kathrin Kopetzki , Stephan Günnemann

We study two-player games with alternating moves played on infinite trees. Our main focus is on the case where the trees are full (regular) and the winning set is open (with respect to the product topology on the tree). Gale and Stewart…

Optimization and Control · Mathematics 2026-02-17 Dean Kraizberg

Approachability theory, introduced by Blackwell (1956), provides fundamental results on repeated games with vector-valued payoffs, and has been usefully applied since in the theory of learning in games and to learning algorithms in the…

Machine Learning · Computer Science 2013-12-31 Andrey Bernstein , Nahum Shimkin

Reachability in pushdown vector addition systems with states (PVASS) is among the longest standing open problems in Theoretical Computer Science. We show that the problem is decidable in full generality. Our decision procedure is similar in…

Logic in Computer Science · Computer Science 2026-02-19 Roland Guttenberg , Eren Keskin , Roland Meyer

Recently, a standardized framework was proposed for introducing quantum-inspired moves in mathematical games with perfect information and no chance. The beauty of quantum games-succinct in representation, rich in structures, explosive in…

Computational Complexity · Computer Science 2020-11-10 Kyle Burke , Matthew Ferland , Shang-Hua Teng

Mean-payoff games play a central role in quantitative synthesis and verification. In a single-dimensional game a weight is assigned to every transition and the objective of the protagonist is to assure a non-negative limit-average weight.…

Logic in Computer Science · Computer Science 2014-10-22 Yaron Velner

Important decisions are likely made by groups of agents. Thus group decision making is very common in practice. Very transparent group aggregating rules are given by weighted voting, where each agent is assigned a weight. Here a proposal is…

Combinatorics · Mathematics 2014-01-08 Sascha Kurz , Nikolas Tautenhahn

Network games provide a natural machinery to compactly represent strategic interactions among agents whose payoffs exhibit sparsity in their dependence on the actions of others. Besides encoding interaction sparsity, however, real networks…

Computational Engineering, Finance, and Science · Computer Science 2021-01-22 Kun Jin , Yevgeniy Vorobeychik , Mingyan Liu

Correlated equilibria -- and their generalization $\Phi$-equilibria -- are a fundamental object of study in game theory, offering a more tractable alternative to Nash equilibria in multi-player settings. While computational aspects of…

Computer Science and Game Theory · Computer Science 2025-10-23 Martino Bernasconi , Matteo Castiglioni , Andrea Celli , Gabriele Farina

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

This paper considers the problem of finding strategies that satisfy a mixture of sure and threshold objectives in Markov decision processes. We focus on a single $\omega$-regular objective expressed as parity that must be surely met while…

Computer Science and Game Theory · Computer Science 2024-08-05 Raphaël Berthon , Joost-Pieter Katoen , Tobias Winkler

Standard game theory assumes that the structure of the game is common knowledge among players. We relax this assumption by considering extensive games where agents may be unaware of the complete structure of the game. In particular, they…

Computer Science and Game Theory · Computer Science 2007-05-23 Joseph Y. Halpern , Leandro C. Rêgo

We consider combinatorial avoidance and achievement games based on graph Ramsey theory: The players take turns in coloring still uncolored edges of a graph G, each player being assigned a distinct color, choosing one edge per move. In…

Computational Complexity · Computer Science 2007-05-23 Wolfgang Slany

With increasing game size, a problem of computational complexity arises. This is especially true in real world problems such as in social systems, where there is a significant population of players involved in the game, and the complexity…

Computer Science and Game Theory · Computer Science 2016-09-12 Tatsuya Iwase , Takahiro Shiga

We address the problem of assessing the robustness of the equilibria in uncertain, multi-agent games. Specifically, we focus on generalized Nash equilibrium problems in aggregative form subject to linear coupling constraints affected by…

Optimization and Control · Mathematics 2020-05-20 Filippo Fabiani , Kostas Margellos , Paul J. Goulart

We note that the remarkable EXPSPACE-hardness result in [G\"oller, Haase, Ouaknine, Worrell, ICALP 2010] ([GHOW10] for short) allows us to answer an open complexity question for simulation preorder of succinct one counter nets (i.e., one…

Logic in Computer Science · Computer Science 2018-01-04 Petr Jancar , Petr Osicka , Zdenek Sawa