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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 consider games played on the transition graph of concurrent programs running under the Total Store Order (TSO) weak memory model. Games are frequently used to model the interaction between a system and its environment, in this case…

Logic in Computer Science · Computer Science 2024-11-05 Stephan Spengler

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 this paper, we investigate the rational synthesis problem for concurrent game structure for a variety of objectives ranging from reachability to Muller condition. We propose a new algorithm that establishes the decidability of the non…

Logic in Computer Science · Computer Science 2018-06-11 Rodica Condurache , Youssouf Oualhadj , Nicolas Troquard

Two-player, turn-based, stochastic games with reachability conditions are considered, where the maximizer has no information (he is blind) and is restricted to deterministic strategies whereas the minimizer is perfectly informed. We ask the…

Computer Science and Game Theory · Computer Science 2016-05-26 Edon Kelmendi , Hugo Gimbert

We consider two-player games over graphs and give tight bounds on the memory size of strategies ensuring safety objectives. More specifically, we show that the minimal number of memory states of a strategy ensuring a safety objective is…

Computer Science and Game Theory · Computer Science 2024-08-07 Thomas Colcombet , Nathanaël Fijalkow , Florian Horn

Reactive computer systems bear inherent complexity due to continuous interactions with their environment. While this environment often proves to be uncontrollable, we still want to ensure that critical computer systems will not fail, no…

Computer Science and Game Theory · Computer Science 2012-10-19 Mickael Randour

We study the complexity of problems related to subgame-perfect equilibria (SPEs) in infinite duration non zero-sum multiplayer games played on finite graphs with parity objectives. We present new complexity results that close gaps in the…

Computer Science and Game Theory · Computer Science 2022-04-22 Léonard Brice , Marie van den Bogaard , Jean-François Raskin

In bilevel optimization problems, a leader and a follower make their decisions in a hierarchy, and both decisions may influence each other. Usually one assumes that both players have full knowledge also of the other player's data. In a more…

Optimization and Control · Mathematics 2026-02-19 Dorothee Henke

We consider two-player games played on weighted directed graphs with mean-payoff and total-payoff objectives, two classical quantitative objectives. While for single-dimensional games the complexity and memory bounds for both objectives…

Computer Science and Game Theory · Computer Science 2014-11-04 Krishnendu Chatterjee , Laurent Doyen , Mickael Randour , Jean-François Raskin

In this paper we study the computational complexity of computing an evolutionary stable strategy (ESS) in multi-player symmetric games. For two-player games, deciding existence of an ESS is complete for {\Sigma} 2 , the second level of the…

Computational Complexity · Computer Science 2022-03-16 Manon Blanc , Kristoffer Arnsfelt Hansen

Consider concurrent, infinite duration, two-player win/lose games played on graphs. If the winning condition satisfies some simple requirement, the existence of Player 1 winning (finite-memory) strategies is equivalent to the existence of…

Logic in Computer Science · Computer Science 2018-05-01 Stephane Le Roux

As part of an effort to apply the rigorous guarantees of formal verification to multi-agent systems, the field of equilibrium analysis, also called rational verification, studies equilibria in multiplayer games to reason about system-level…

Computer Science and Game Theory · Computer Science 2026-04-28 Senthil Rajasekaran , Jean-François Raskin , Moshe Y. Vardi

Probabilistic timed automata are a suitable formalism to model systems with real-time, nondeterministic and probabilistic behaviour. We study two-player zero-sum games on such automata where the objective of the game is specified as the…

Logic in Computer Science · Computer Science 2016-04-18 Vojtěch Forejt , Marta Kwiatkowska , Gethin Norman , Ashutosh Trivedi

We study in depth the class of games with opacity condition, which are two-player games with imperfect information in which one of the players only has imperfect information, and where the winning condition relies on the information he has…

Computer Science and Game Theory · Computer Science 2011-06-08 Bastien Maubert , Sophie Pinchinat , Laura Bozzelli

We introduce games with probabilistic uncertainty, a natural model for controller synthesis in which the controller observes the state of the system through imprecise sensors that provide correct information about the current state with a…

Computer Science and Game Theory · Computer Science 2012-07-03 Krishnendu Chatterjee , Martin Chmelik , Rupak Majumdar

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

This paper studies complexity theoretic aspects of quantum refereed games, which are abstract games between two competing players that send quantum states to a referee, who performs an efficiently implementable joint measurement on the two…

Computational Complexity · Computer Science 2020-02-06 Soumik Ghosh , John Watrous

Technology development efforts in autonomy and cyber-defense have been evolving independently of each other, over the past decade. In this paper, we report our ongoing effort to integrate these two presently distinct areas into a single…

Computer Science and Game Theory · Computer Science 2020-02-07 Mohamadreza Ahmadi , Arun A. Viswanathan , Michel D. Ingham , Kymie Tan , Aaron D. Ames

Most specification languages express only qualitative constraints. However, among two implementations that satisfy a given specification, one may be preferred to another. For example, if a specification asks that every request is followed…

Logic in Computer Science · Computer Science 2013-05-29 Roderick Bloem , Krishnendu Chatterjee , Thomas A. Henzinger , Barbara Jobstmann
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