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We consider average-energy games, where the goal is to minimize the long-run average of the accumulated energy. While several results have been obtained on these games recently, decidability of average-energy games with a lower-bound…

Logic in Computer Science · Computer Science 2017-01-16 Patricia Bouyer , Piotr Hofman , Nicolas Markey , Mickael Randour , Martin Zimmermann

Two-player quantitative zero-sum games provide a natural framework to synthesize controllers with performance guarantees for reactive systems within an uncontrollable environment. Classical settings include mean-payoff games, where the…

Logic in Computer Science · Computer Science 2015-09-25 Patricia Bouyer , Nicolas Markey , Mickael Randour , Kim G. Larsen , Simon Laursen

Two-player quantitative zero-sum games provide a natural framework to synthesize controllers with performance guarantees for reactive systems within an uncontrollable environment. Classical settings include mean-payoff games, where the…

Logic in Computer Science · Computer Science 2016-07-11 Patricia Bouyer , Nicolas Markey , Mickael Randour , Kim G. Larsen , Simon Laursen

In mean-payoff games, the objective of the protagonist is to ensure that the limit average of an infinite sequence of numeric weights is nonnegative. In energy games, the objective is to ensure that the running sum of weights is always…

Logic in Computer Science · Computer Science 2010-10-05 Krishnendu Chatterjee , Laurent Doyen , Thomas A. Henzinger , Jean-Francois Raskin

Energy parity games are infinite two-player turn-based games played on weighted graphs. The objective of the game combines a (qualitative) parity condition with the (quantitative) requirement that the sum of the weights (i.e., the level of…

Logic in Computer Science · Computer Science 2012-04-04 Krishnendu Chatterjee , Laurent Doyen

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

In mean-payoff games, the objective of the protagonist is to ensure that the limit average of an infinite sequence of numeric weights is nonnegative. In energy games, the objective is to ensure that the running sum of weights is always…

Computer Science and Game Theory · Computer Science 2012-09-17 Yaron Velner , Krishnendu Chatterjee , Laurent Doyen , Thomas A. Henzinger , Alexander Rabinovich , Jean-Francois Raskin

In this paper, we study one-player and two-player energy mean-payoff games. Energy mean-payoff games are games of infinite duration played on a finite graph with edges labeled by 2-dimensional weight vectors. The objective of the first…

Computer Science and Game Theory · Computer Science 2019-07-03 Véronique Bruyère , Quentin Hautem , Mickael Randour , Jean-François Raskin

Energy games are a well-studied class of 2-player turn-based games on a finite graph where transitions are labeled with integer vectors which represent changes in a multidimensional resource (the energy). One player tries to keep the…

Computer Science and Game Theory · Computer Science 2014-05-06 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Piotr Hofman , Richard Mayr , K. Narayan Kumar , Patrick Totzke

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

Quantitative games, where quantitative objectives are defined on weighted game arenas, provide natural tools for designing faithful models of embedded controllers. Instances of these games that recently gained interest are the so called…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-11 Andrea Formisano , Raffaella Gentilini , Flavio Vella

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

Renewable resources are starting to constitute a growing portion of the total generation mix of the power system. A key difference between renewables and traditional generators is that many renewable resources are managed by individuals,…

Optimization and Control · Mathematics 2019-10-07 Pan Li , Shreyas Sekar , Baosen Zhang

A game-theoretic model is proposed to study the cross-layer problem of joint power and rate control with quality of service (QoS) constraints in multiple-access networks. In the proposed game, each user seeks to choose its transmit power…

Information Theory · Computer Science 2007-07-16 Farhad Meshkati , H. Vincent Poor , Stuart C. Schwartz , Radu V. Balan

A standard approach to optimizing long-run running costs of discrete systems is based on minimizing the mean-payoff, i.e., the long-run average amount of resources ("energy") consumed per transition. However, this approach inherently…

Systems and Control · Computer Science 2014-03-25 Tomáš Brázdil , David Klaška , Antonín Kučera , Petr Novotný

We provide a generic decision procedure for energy games with energy-bounded attacker and reachability objective, moving beyond vector-valued energies and vector-addition updates. All we demand is that energies form well-founded bounded…

Logic in Computer Science · Computer Science 2025-05-22 Caroline Lemke , Benjamin Bisping

We refine existing general network optimization techniques, give new characterizations for the class of problems to which they can be applied, and show that they can also be used to solve various two-player games in almost linear time.…

Computer Science and Game Theory · Computer Science 2008-01-29 Daniel Andersson

We investigate the ability of a homogeneous collection of deferrable energy loads to behave as a battery; that is, to absorb and release energy in a controllable fashion up to fixed and predetermined limits on volume, charge rate and…

Systems and Control · Computer Science 2016-10-07 Daria Madjidian , Mardavij Roozbehani , Munther A. Dahleh

In this paper, we investigate the problem of optimal supervisory control for the discrete event systems under energy constraints. We consider that the execution of events consumes energy and the energy can be replenished at specific reload…

Systems and Control · Electrical Eng. & Systems 2024-02-13 Peng Lv , Shaoyuan Li , Xiang Yin

Energy games belong to a class of turn-based two-player infinite-duration games}played on a weighted directed graph. It is one of the rare and intriguing combinatorial problems that lie in ${\sf NP} \cap {\sf co\mbox{-}NP}$, but are not…

Data Structures and Algorithms · Computer Science 2018-03-02 Krishnendu Chatterjee , Monika Henzinger , Sebastian Krinninger , Danupon Nanongkai
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