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We introduce perfect half space games, in which the goal of Player 2 is to make the sums of encountered multi-dimensional weights diverge in a direction which is consistent with a chosen sequence of perfect half spaces (chosen dynamically…

Computer Science and Game Theory · Computer Science 2019-08-20 Thomas Colcombet , Marcin Jurdziński , Ranko Lazić , Sylvain Schmitz

As energy demands surge across ICT infrastructures, service providers must engage users in sustainable practices while maintaining the Quality of Experience (QoE) at acceptable levels. In this paper, we introduce such an approach,…

Emerging Technologies · Computer Science 2026-01-30 Konstantinos Varsos , Adamantia Stamou , George D. Stamoulis , Vasillios A. Siris

In this paper, we introduce and study a class of games called price-coupling games that arise in many scenarios, especially in the electricity industry. In a price-coupling game, there is a part of the objective function of a player which…

Optimization and Control · Mathematics 2019-01-08 Mathew P. Abraham , Ankur A. Kulkarni

Learning and equilibrium computation in games are fundamental problems across computer science and economics, with applications ranging from politics to machine learning. Much of the work in this area revolves around a simple algorithm…

Computer Science and Game Theory · Computer Science 2022-07-19 Daniel Beaglehole , Max Hopkins , Daniel Kane , Sihan Liu , Shachar Lovett

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

The ever increasing adoption of mobile devices with limited energy storage capacity, on the one hand, and more awareness of the environmental impact of massive data centres and server pools, on the other hand, have both led to an increased…

Discrete Mathematics · Computer Science 2018-06-14 Rodrigo A. Carrasco , Garud Iyengar , Cliff Stein

Game theory is the mathematical framework for analyzing strategic interactions in conflict and competition situations. In recent years quantum game theory has earned the attention of physicists, and has emerged as a branch of quantum…

Quantum Physics · Physics 2015-05-30 Puya Sharif , Hoshang Heydari

While discounted payoff games and classic games that reduce to them, like parity and mean-payoff games, are symmetric, their solutions are not. We have taken a fresh view on the properties that optimal solutions need to have, and devised a…

Data Structures and Algorithms · Computer Science 2026-03-11 Daniele Dell'Erba , Arthur Dumas , Sven Schewe

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

Aggregative games have many industrial applications, and computing an equilibrium in those games is challenging when the number of players is large. In the framework of atomic aggregative games with coupling constraints, we show that…

Computer Science and Game Theory · Computer Science 2020-03-27 Paulin Jacquot , Cheng Wan , Olivier Beaude , Nadia Oudjane

Game Theory studies situations in which multiple agents having conflicting objectives have to reach a collective decision. The question of a compact representation language for agents utility function is of crucial importance since the…

Computer Science and Game Theory · Computer Science 2014-04-30 Thi-Van-Anh Nguyen , Arnaud Lallouet

We consider the core algorithmic problems related to verification of systems with respect to three classical quantitative properties, namely, the mean-payoff property, the ratio property, and the minimum initial credit for energy property.…

Data Structures and Algorithms · Computer Science 2015-04-29 Krishnendu Chatterjee , Rasmus Ibsen-Jensen , Andreas Pavlogiannis

Weighted timed games are zero-sum games played by two players on a timed automaton equipped with weights, where one player wants to minimise the accumulated weight while reaching a target. Weighted timed games are notoriously difficult and…

Computer Science and Game Theory · Computer Science 2018-12-05 Damien Busatto-Gaston , Benjamin Monmege , Pierre-Alain Reynier

We design a novel algorithm for solving Mean-Payoff Games (MPGs). Besides solving an MPG in the usual sense, our algorithm computes more information about the game, information that is important with respect to applications. The weights of…

Computer Science and Game Theory · Computer Science 2010-06-09 Luboš Brim , Jakub Chaloupka

We study deterministic games of infinite duration played on graphs and focus on the strategy complexity of quantitative objectives. Such games are known to admit optimal memoryless strategies over finite graphs, but require infinite-memory…

Computer Science and Game Theory · Computer Science 2024-06-26 Sougata Bose , Rasmus Ibsen-Jensen , David Purser , Patrick Totzke , Pierre Vandenhove

Traditional algorithm analysis treats all basic operations as equally costly, which hides significant differences in time, energy consumption, and cost between different types of computations on modern processors. We propose a…

Performance · Computer Science 2025-08-20 Sergii Kavun

We study the graph energy from a cooperative game viewpoint. We introduce \emph{the graph energy game} and show various properties. In particular, we see that it is a superadditive game and that the energy of a vertex, as defined in…

Spectral Theory · Mathematics 2021-03-22 Gerardo Arizmendi , Octavio Arizmendi

We prove a theorem computing the number of solutions to a system of equations which is generic subject to the sparsity conditions embodied in a graph. We apply this theorem to games obeying graphical models and to extensive-form games. We…

Commutative Algebra · Mathematics 2007-05-23 Ruchira S. Datta

We study the problem of finding optimal correlated equilibria of various sorts in extensive-form games: normal-form coarse correlated equilibrium (NFCCE), extensive-form coarse correlated equilibrium (EFCCE), and extensive-form correlated…

Computer Science and Game Theory · Computer Science 2025-01-28 Brian Zhang , Gabriele Farina , Andrea Celli , Tuomas Sandholm

Edge computing is a popular target for accelerating machine learning algorithms supporting mobile devices without requiring the communication latencies to handle them in the cloud. Edge deployments of machine learning primarily consider…

Hardware Architecture · Computer Science 2024-10-28 Sébastien Ollivier , Sheng Li , Yue Tang , Chayanika Chaudhuri , Peipei Zhou , Xulong Tang , Jingtong Hu , Alex K. Jones
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