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This paper deals a novel variation of the versatile stochastic duel game, which incorporates an energy fuel constraint in a two-player duel game. The energy fuel not only measures the vitality of players but also determines the power of the…

Optimization and Control · Mathematics 2023-11-23 Song-Kyoo Kim

We study two-player games with counters, where the objective of the first player is that the counter values remain bounded. We investigate the existence of a trade-off between the size of the memory and the bound achieved on the counters,…

Formal Languages and Automata Theory · Computer Science 2017-09-12 Nathanaël Fijalkow , Florian Horn , Denis Kuperberg , Michał Skrzypczak

In this paper, an aggregate game approach is proposed for the modeling and analysis of energy consumption control in smart grid. Since the electricity user's cost function depends on the aggregate load, which is unknown to the end users, an…

Economics · Quantitative Finance 2017-03-22 Maojiao Ye , Guoqiang Hu

We study balanced solutions for network bargaining games with general capacities, where agents can participate in a fixed but arbitrary number of contracts. We provide the first polynomial time algorithm for computing balanced solutions for…

Computer Science and Game Theory · Computer Science 2013-06-19 Linda Farczadi , Konstantinos Georgiou , Jochen Koenemann

We consider the interaction among agents engaging in a driving task and we model it as general-sum game. This class of games exhibits a plurality of different equilibria posing the issue of equilibrium selection. While selecting the most…

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 2016-11-17 Farhad Meshkati , H. Vincent Poor , Stuart C. Schwartz , Radu V. Balan

Multi-dimensional mean-payoff and energy games provide the mathematical foundation for the quantitative study of reactive systems, and play a central role in the emerging quantitative theory of verification and synthesis. In this work, we…

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

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

Games with continuous strategy sets arise in several machine learning problems (e.g. adversarial learning). For such games, simple no-regret learning algorithms exist in several cases and ensure convergence to coarse correlated equilibria…

Computer Science and Game Theory · Computer Science 2019-03-05 Pier Giuseppe Sessa , Maryam Kamgarpour , Andreas Krause

We examine two-player games over finite weighted graphs with quantitative (mean-payoff or energy) objective, where one of the players additionally needs to satisfy a fairness objective. The specific fairness we consider is called 'strong…

Computer Science and Game Theory · Computer Science 2025-01-30 Ashwani Anand , Satya Prakash Nayak , Ritam Raha , Irmak Sağlam , Anne-Kathrin Schmuck

In a multi-battle contest, each time a player competes by investing some of her budgets or resources in a component battle to collect a value if winning the battle. There are multiple battles to fight, and the budgets get consumed over…

Computer Science and Game Theory · Computer Science 2016-02-15 Chu-Han Cheng , Po-An Chen , Wing-Kai Hon

A \emph{bidding} game is played on a graph as follows. A token is placed on an initial vertex and both players are allocated budgets. In each turn, the players simultaneously submit bids that do not exceed their available budgets, the…

Computer Science and Game Theory · Computer Science 2025-09-03 Guy Avni , Suman Sadhukhan

High shares of variable renewable energy necessitate substantial energy storage capacity. However, it remains unclear how to design a market that, on the one hand, ensures a stable and sufficient income for storage firms, and, on the other…

Systems and Control · Electrical Eng. & Systems 2024-02-06 Aviad Navon , Juri Belikov , Ariel Orda , Yoash Levron

In this paper, a static non-cooperative game formulation of the problem of distributed charging in electrical vehicle (EV) networks is proposed. This formulation allows one to model the interaction between several EV which are connected to…

Computer Science and Game Theory · Computer Science 2015-09-25 Olivier Beaude , Samson Lasaulce , Martin Hennebel

An overview of game-theoretic approaches to energy-efficient resource allocation in wireless networks is presented. Focusing on multiple-access networks, it is demonstrated that game theory can be used as an effective tool to study resource…

Information Theory · Computer Science 2016-11-18 Farhad Meshkati , H. Vincent Poor , Stuart C. Schwartz

We introduce two-player games which build words over infinite alphabets, and we study the problem of checking the existence of winning strategies. These games are played by two players, who take turns in choosing valuations for variables…

Logic in Computer Science · Computer Science 2023-06-22 Diego Figueira , Anirban Majumdar , M. Praveen

This paper gives a complete analysis of worst-case equilibria for various versions of weighted congestion games with two players and affine cost functions. The results are exact price of anarchy bounds which are parametric in the weights of…

Computer Science and Game Theory · Computer Science 2022-03-04 Joran van den Bosse , Marc Uetz , Matthias Walter

We study the computational complexity of solving stochastic games with mean-payoff objectives. Instead of identifying special classes in which simple strategies are sufficient to play $\epsilon$-optimally, or form $\epsilon$-Nash…

Computer Science and Game Theory · Computer Science 2024-05-16 Sougata Bose , Rasmus Ibsen-Jensen , Patrick Totzke

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

An important scenario for smart grids which encompass distributed electrical networks is given by the simultaneous presence of aggregators and individual consumers. In this work, an aggregator is seen as an entity (a coalition) which is…

Computer Science and Game Theory · Computer Science 2015-09-25 Olivier Beaude , Cheng Wan , Samson Lasaulce