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In this work we offer an $O(|V|^2 |E|\, W)$ pseudo-polynomial time deterministic algorithm for solving the Value Problem and Optimal Strategy Synthesis in Mean Payoff Games. This improves by a factor $\log(|V|\, W)$ the best previously…

Data Structures and Algorithms · Computer Science 2016-04-26 Carlo Comin , Romeo Rizzi

We study variants of regular infinite games where the strict alternation of moves between the two players is subject to modifications. The second player may postpone a move for a finite number of steps, or, in other words, exploit in his…

Formal Languages and Automata Theory · Computer Science 2015-07-01 Michael Holtmann , Lukasz Kaiser , Wolfgang Thomas

We study a generalisation of B\"uchi-Landweber games to the timed setting. The winning condition is specified by a non-deterministic timed automaton with epsilon transitions and only Player I can elapse time. We show that for fixed number…

Formal Languages and Automata Theory · Computer Science 2020-04-28 Lorenzo Clemente , Sławomir Lasota , Radosław Piórkowski

We investigate a novel finite-horizon linear-quadratic (LQ) feedback dynamic potential game with a priori unknown cost matrices played between two players. The cost matrices are revealed to the players sequentially, with the potential for…

Optimization and Control · Mathematics 2025-08-05 Yitian Chen , Timothy L. Molloy , Iman Shames

The present study explores a problem that can be resolved by employing the notion of a partially defined cooperative game, yet cannot by using a restricted game. The following situation is considered: First, it is assumed that the worth of…

Computer Science and Game Theory · Computer Science 2025-11-27 Satoshi Masuya

We analyse the computational complexity of finding Nash equilibria in stochastic multiplayer games with $\omega$-regular objectives. While the existence of an equilibrium whose payoff falls into a certain interval may be undecidable, we…

Computer Science and Game Theory · Computer Science 2010-06-24 Michael Ummels , Dominik Wojtczak

Learning from repeated play in a fixed two-player zero-sum game is a classic problem in game theory and online learning. We consider a variant of this problem where the game payoff matrix changes over time, possibly in an adversarial…

Machine Learning · Computer Science 2022-02-01 Mengxiao Zhang , Peng Zhao , Haipeng Luo , Zhi-Hua Zhou

Effective game-theoretic modeling of defender-attacker behavior is becoming increasingly important. In many domains, the defender functions not only as a player but also the designer of the game's payoff structure. We study Stackelberg…

Computer Science and Game Theory · Computer Science 2018-05-23 Zheyuan Ryan Shi , Ziye Tang , Long Tran-Thanh , Rohit Singh , Fei Fang

The remoteness from a simple game to a weighted game can be measured by the concept of the dimension or the more general Boolean dimension. It is known that both notions can be exponential in the number of voters. For complete simple games…

Computer Science and Game Theory · Computer Science 2021-01-26 Sascha Kurz

Evolutionary game theory classically investigates which behavioral patterns are evolutionarily successful in a single game. More recently, a number of contributions have studied the evolution of preferences instead: which subjective…

Computer Science and Game Theory · Computer Science 2015-05-27 Paolo Galeazzi , Michael Franke

The paper is devoted to dynamic games. We consider a general enough framework, which is not limited to e.g. differential games and could accommodate both discrete and continuous time. Assuming common dynamics, we study two game families…

Optimization and Control · Mathematics 2018-04-25 Dmitry Khlopin

One-counter MDPs (OC-MDPs) and one-counter simple stochastic games (OC-SSGs) are 1-player, and 2-player turn-based zero-sum, stochastic games played on the transition graph of classic one-counter automata (equivalently, pushdown automata…

Computer Science and Game Theory · Computer Science 2011-07-21 Tomáš Brázdil , Václav Brožek , Kousha Etessami , Antonín Kučera

The paper is concerned with two-person dynamic zero-sum games. We investigate the limit of value functions of finite horizon games with long run average cost as the time horizon tends to infinity, and the limit of value functions of…

Optimization and Control · Mathematics 2016-07-21 Dmitry Khlopin

Blackwell games are infinite games of imperfect information. The two players simultaneously make their moves, and are then informed of each other's moves. Payoff is determined by a Borel measurable function $f$ on the set of possible…

Logic · Mathematics 2009-09-25 Marco R. Vervoort

Partial-monitoring games constitute a mathematical framework for sequential decision making problems with imperfect feedback: The learner repeatedly chooses an action, opponent responds with an outcome, and then the learner suffers a loss…

Computer Science and Game Theory · Computer Science 2011-10-13 András Antos , Gábor Bartók , Dávid Pál , Csaba Szepesvári

We study $n$-dimensional contests between two players with heterogeneous effort costs, where each dimension (battle) is modeled as a Tullock contest. Prize-allocation rules are identity-independent, budget-balanced, and weakly increasing in…

Theoretical Economics · Economics 2026-03-31 Siyuan Fan , Zhonghong Kuang , Jingfeng Lu

Graph games are fundamental in strategic reasoning of multi-agent systems and their environments. We study a new family of graph games which combine stochastic environmental uncertainties and auction-based interactions among the agents,…

Computer Science and Game Theory · Computer Science 2024-12-30 Guy Avni , Martin Kurečka , Kaushik Mallik , Petr Novotný , Suman Sadhukhan

In this paper, we study the notion of adversarial Stackelberg value for two-player non-zero sum games played on bi-weighted graphs with the mean-payoff and the discounted sum functions. The adversarial Stackelberg value of Player 0 is the…

Computer Science and Game Theory · Computer Science 2020-05-05 Emmanuel Filiot , Raffaella Gentilini , Jean-François Raskin

We study symmetric bimatrix games that also have the common-payoff property, i.e., the two players receive the same payoff at any outcome of the game. Due to the symmetry property, these games are guaranteed to have symmetric Nash…

Computer Science and Game Theory · Computer Science 2025-07-28 Abheek Ghosh , Alexandros Hollender

We study $n$-agent Bayesian Games with $m$-dimensional vector types and linear payoffs, also called Linear Multidimensional Bayesian Games. This class of games is equivalent with $n$-agent, $m$-game Uniform Multigames. We distinguish…

Computer Science and Game Theory · Computer Science 2023-10-24 Sébastien Huot , Abbas Edalat