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We study a game where one player selects a random function, and the other has to guess that function, and show that with high probability the second player can correctly guess most of the random function. We apply this analysis to…

Optimization and Control · Mathematics 2023-11-28 Catherine Rainer , Eilon Solan

We study concurrent graph games where n players cooperate against an opponent to reach a set of target states. Unlike traditional settings, we study distributed randomisation: team players do not share a source of randomness, and their…

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

We present an approach for systematically anticipating the actions and policies employed by \emph{oblivious} environments in concurrent stochastic games, while maximizing a reward function. Our main contribution lies in the synthesis of a…

Artificial Intelligence · Computer Science 2024-09-19 Shadi Tasdighi Kalat , Sriram Sankaranarayanan , Ashutosh Trivedi

We propose novel controller synthesis techniques for probabilistic systems modelled using stochastic two-player games: one player acts as a controller, the second represents its environment, and probability is used to capture uncertainty…

Logic in Computer Science · Computer Science 2017-01-11 Klaus Drager , Vojtech Forejt , Marta Kwiatkowska , David Parker , Mateusz Ujma

A large body of research is currently investigating on the connection between machine learning and game theory. In this work, game theory notions are injected into a preference learning framework. Specifically, a preference learning problem…

Machine Learning · Computer Science 2018-12-20 Mirko Polato , Fabio Aiolli

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

Timed automata are a convenient mathematical model for modelling and reasoning about real-time systems. While they provide a powerful way of representing timing aspects of such systems, timed automata assume arbitrary precision and…

Formal Languages and Automata Theory · Computer Science 2020-07-09 Emily Clement , Thierry Jéron , Nicolas Markey , David Mentré

Imitating successful behavior is a natural and frequently applied approach to trust in when facing scenarios for which we have little or no experience upon which we can base our decision. In this paper, we consider such behavior in atomic…

Computer Science and Game Theory · Computer Science 2008-10-04 Heiner Ackermann , Petra Berenbrink , Simon Fischer , Martin Hoefer

We investigate an algorithm that assigns to any game in normal form an approximating game that admits an ordinal potential function. Due to the properties of potential games, the algorithm equips every game with a surrogate reward structure…

Multiagent Systems · Computer Science 2026-02-24 Philipp Lakheshar , Sharwin Rezagholi

Concurrent multi-player games with $\omega$-regular objectives are a standard model for systems that consist of several interacting components, each with its own objective. The standard solution concept for such games is Nash Equilibrium,…

Computer Science and Game Theory · Computer Science 2022-09-28 Shaull Almagor , Shai Guendelman

Many high-stakes AI deployments proceed only if every stakeholder deems the system acceptable relative to their own minimum standard. With randomization over a finite menu of options, this becomes a feasibility question: does there exist a…

Computer Science and Game Theory · Computer Science 2026-04-21 Davin Choo , Paul W. Goldberg , Nicholas Teh

We study a game for recognising formal languages, in which two players with imperfect information need to coordinate on a common decision, given private input words correlated by a finite graph. The players have a joint objective to avoid…

Formal Languages and Automata Theory · Computer Science 2016-04-27 Dietmar Berwanger , Marie van den Bogaard

The problem of computing a common point that lies in the intersection of a finite number of closed convex sets, each known to one agent in a network, is studied. This issue, known as the distributed convex feasibility problem or the…

Multiagent Systems · Computer Science 2020-08-11 Dimitris Ampeliotis , Kostas Berberidis

We consider two-player stochastic games played on a finite graph for infinitely many rounds. Stochastic games generalize both Markov decision processes (MDP) by adding an adversary player, and two-player deterministic games by adding…

Computer Science and Game Theory · Computer Science 2022-02-28 Laurent Doyen

In this article, we look at a hat-guessing game, in which each player must guess the color of their own hat while only seeing the hats of the other players. We focus on the case of two hat colors and a countably infinite number of players.…

Probability · Mathematics 2025-10-28 Nathaniel Eldredge

Stochastic games are often used to model reactive processes. We consider the problem of synthesizing an optimal almost-sure winning strategy in a two-player (namely a system and its environment) turn-based stochastic game with both a…

Systems and Control · Computer Science 2015-11-03 Min Wen , Ufuk Topcu

We construct several definitions of imbalance and playability, both of which are related to the existence of dominated strategies. Specifically, a maximally balanced game and a playable game cannot have dominated strategies for any player.…

General Economics · Economics 2025-11-07 Itai Maimon

In a distributed game we imagine a team Player engaging a team Opponent in a distributed fashion. Such games and their strategies have been formalised in concurrent games based on event structures. However there are limitations in founding…

Logic in Computer Science · Computer Science 2016-07-14 Marc de Visme , Glynn Winskel

The principle that rational agents should maximize expected utility or choiceworthiness is intuitively plausible in many ordinary cases of decision-making under uncertainty. But it is less plausible in cases of extreme, low-probability risk…

Theoretical Economics · Economics 2020-08-11 Christian Tarsney

We introduce the concept of budget games. Players choose a set of tasks and each task has a certain demand on every resource in the game. Each resource has a budget. If the budget is not enough to satisfy the sum of all demands, it has to…

Computer Science and Game Theory · Computer Science 2014-07-14 Maximilian Drees , Sören Riechers , Alexander Skopalik