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We study the problem of characterizing the set of games that are consistent with observed equilibrium play. Our contribution is to develop and analyze a new methodology based on convex optimization to address this problem for many classes…

Computer Science and Game Theory · Computer Science 2017-03-23 Juba Ziani , Venkat Chandrasekaran , Katrina Ligett

Infinite games where several players seek to coordinate under imperfect information are known to be intractable, unless the information flow is severely restricted. Examples of undecidable cases typically feature a situation where players…

Logic in Computer Science · Computer Science 2014-05-01 Dietmar Berwanger , Anup Basil Mathew

Parity games are infinite two-player games played on directed graphs. Parity game solvers are used in the domain of formal verification. This paper defines parametrized parity games and introduces an operation, Justify, that determines a…

Logic in Computer Science · Computer Science 2021-02-03 Ruben Lapauw , Maurice Bruynooghe , Marc Denecker

Graph games of infinite length are a natural model for open reactive processes: one player represents the controller, trying to ensure a given specification, and the other represents a hostile environment. The evolution of the system…

Computer Science and Game Theory · Computer Science 2010-06-09 Julien Cristau , Claire David , Florian Horn

The goal of logical controller synthesis is to automatically compute a control strategy that regulates the discrete, event-driven behavior of a given plant s.t. a temporal logic specification holds over all remaining traces. Standard…

Logic in Computer Science · Computer Science 2025-01-31 Bernd Finkbeiner , Niklas Metzger , Satya Prakash Nayak , Anne-Kathrin Schmuck

We explore a class of stochastic multiplayer games where each player in the game aims to optimize its objective under uncertainty and adheres to some expectation constraints. The study employs an offline learning paradigm, leveraging a…

Optimization and Control · Mathematics 2025-09-09 Yuanhanqing Huang , Jianghai Hu

Dynamics in a distributed system are self-stabilizing if they are guaranteed to reach a stable state regardless of how the system is initialized. Game dynamics are uncoupled if each player's behavior is independent of the other players'…

Computer Science and Game Theory · Computer Science 2014-05-07 Aaron D. Jaggard , Neil Lutz , Michael Schapira , Rebecca N. Wright

Parity games can be used to represent many different kinds of decision problems. In practice, tools that use parity games often rely on a specification in a higher-order logic from which the actual game can be obtained by means of an…

Logic in Computer Science · Computer Science 2022-01-25 Maurice Laveaux , Wieger Wesselink , Tim A. C. Willemse

We consider multi-player games played on graphs, in which the players aim at fulfilling their own (not necessarily antagonistic) objectives. In the spirit of evolutionary game theory, we suppose that the players have the right to repeatedly…

Computer Science and Game Theory · Computer Science 2019-10-04 Thomas Brihaye , Gilles Geeraerts , Marion Hallet , Benjamin Monmege , Bruno Quoitin

We study games with reachability objectives under energy constraints. We first prove that under strict energy constraints (either only lower-bound constraint or interval constraint), those games are LOGSPACE-equivalent to energy games with…

Computer Science and Game Theory · Computer Science 2019-09-18 Loïc Hélouët , Nicolas Markey , Ritam Raha

We study the problem of computing correlated strategies to commit to in games with multiple leaders and followers. To the best of our knowledge, this problem is widely unexplored so far, as the majority of the works in the literature focus…

Computer Science and Game Theory · Computer Science 2019-05-31 Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

The window mechanism, introduced by Chatterjee et al. for mean-payoff and total-payoff objectives in two-player turn-based games on graphs, refines long-term objectives with time bounds. This mechanism has proven useful in a variety of…

Computer Science and Game Theory · Computer Science 2022-05-10 James C. A. Main , Mickael Randour , Jeremy Sproston

Games on graphs provide a natural model for reactive non-terminating systems. In such games, the interaction of two players on an arena results in an infinite path that describes a run of the system. Different settings are used to model…

Computer Science and Game Theory · Computer Science 2011-06-08 Krishnendu Chatterjee , Nathanaël Fijalkow

In this paper we provide a case study of the use of relatively sophisticated mathematics and algorithms to redefine and adapt a simple traditional game/puzzle to exploit the computational power of smart devices. The focus here is not so…

Human-Computer Interaction · Computer Science 2019-06-04 Jeffrey Uhlmann

We introduce consumption games, a model for discrete interactive system with multiple resources that are consumed or reloaded independently. More precisely, a consumption game is a finite-state graph where each transition is labeled by a…

Computer Science and Game Theory · Computer Science 2012-06-01 Tomáš Brázdil , Krishnendu Chatterjee , Antonín Kučera , Petr Novotný

Behavior in the context of game theory is described as a natural process that follows the 2nd law of thermodynamics. The rate of entropy increase as the payoff function is derived from statistical physics of open systems. The thermodynamic…

General Physics · Physics 2011-10-27 Jani Anttila , Arto Annila

This paper introduces application of Reflexive Game Theory to the matter of multistage decision making processes. The idea behind is that each decision making session has certain parameters like "when the session is taking place", "who are…

Multiagent Systems · Computer Science 2014-11-19 Sergey Tarasenko

In a noncooperative dynamic game, multiple agents operating in a changing environment aim to optimize their utilities over an infinite time horizon. Time-varying environments allow to model more realistic scenarios (e.g., mobile devices…

Systems and Control · Computer Science 2015-12-29 Santiago Zazo , Sergio Valcarcel Macua , Matilde Sánchez-Fernández , Javier Zazo

Learning in games refers to scenarios where multiple players interact in a shared environment, each aiming to minimize their regret. An equilibrium can be computed at a fast rate of $O(1/T)$ when all players follow the optimistic…

Computer Science and Game Theory · Computer Science 2025-02-18 Taira Tsuchiya , Shinji Ito , Haipeng Luo

This article identifies a gap between the existence of a various psychometric tests approaches and other team performance assessment tools (e.g. business and management games). As a response to the lack of tools able to utilize the…

Computers and Society · Computer Science 2018-10-24 Michał Okulewicz , Weronika Aniper , Bartłomiej Dach , Piotr Filarski , Piotr Jenczyk , Julita Ołtusek