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Game-theoretic models relevant for computer science applications usually feature a large number of players. The goal of this paper is to develop an analytical framework for bounding the price of anarchy in such models. We demonstrate the…

Computer Science and Game Theory · Computer Science 2015-04-06 Michal Feldman , Nicole Immorlica , Brendan Lucier , Tim Roughgarden , Vasilis Syrgkanis

Competitive non-cooperative online decision-making agents whose actions increase congestion of scarce resources constitute a model for widespread modern large-scale applications. To ensure sustainable resource behavior, we introduce a novel…

Optimization and Control · Mathematics 2020-10-22 Ezra Tampubolon , Holger Boche

Consider a multi-class preemptive-resume $M/D/1$ queueing system that supports advance reservations (AR). In this system, strategic customers must decide whether to reserve a server in advance (thereby gaining higher priority) or avoid AR.…

Computer Science and Game Theory · Computer Science 2018-06-22 Eran Simhon , David Starobinski

The strategic selection of resources by selfish agents is a classic research direction, with Resource Selection Games and Congestion Games as prominent examples. In these games, agents select available resources and their utility then…

Computer Science and Game Theory · Computer Science 2024-06-14 Jonathan Gadea Harder , Simon Krogmann , Pascal Lenzner , Alexander Skopalik

The price of anarchy has become a standard measure of the efficiency of equilibria in games. Most of the literature in this area has focused on establishing worst-case bounds for specific classes of games, such as routing games or more…

Computer Science and Game Theory · Computer Science 2022-06-09 Roberto Cominetti , Valerio Dose , Marco Scarsini

We study the problem of finding Stackelberg equilibria in games with a massive number of players. So far, the only known game instances in which the problem is solved in polynomial time are some particular congestion games. However, a…

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

We study a pricing game in multi-hop relay networks where nodes price their services and route their traffic selfishly and strategically. In this game, each node (1) announces pricing functions which specify the payments it demands from its…

Computer Science and Game Theory · Computer Science 2007-10-15 Yufang Xi , Edmund M. Yeh

The introduction of aggregator structures has proven effective in bringing fairness to energy resource allocation by negotiating for more resources and economic surplus on behalf of users. This paper extends the fair energy resource…

Computer Science and Game Theory · Computer Science 2024-10-16 Jiayi Li , Matt Motoki , Baosen Zhang

This paper analyzes a class of Stackelberg games where different actors compete for shared resources and a central authority tries to balance the demand through a pricing mechanism. Situations like this can for instance occur when fleet…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Marko Maljkovic , Gustav Nilsson , Nikolas Geroliminis

We develop a game-theoretic framework for the study of competition between firms who have budgets to "seed" the initial adoption of their products by consumers located in a social network. The payoffs to the firms are the eventual number of…

Computer Science and Game Theory · Computer Science 2012-04-24 Sanjeev Goyal , Michael Kearns

In cost sharing games, the existence and efficiency of pure Nash equilibria fundamentally depends on the method that is used to share the resources' costs. We consider a general class of resource allocation problems in which a set of…

Computer Science and Game Theory · Computer Science 2015-02-05 Max Klimm , Daniel Schmand

This paper considers a time-varying game with $N$ players. Every time slot, players observe their own random events and then take a control action. The events and control actions affect the individual utilities earned by each player. The…

Computer Science and Game Theory · Computer Science 2014-02-04 Michael J. Neely

We consider 2-players, 2-values minimization games where the players' costs take on two values, $a,b$, $a<b$. The players play mixed strategies and their costs are evaluated by unimodal valuations. This broad class of valuations includes…

Computer Science and Game Theory · Computer Science 2020-09-10 Chryssis Georgiou , Marios Mavronicolas , Burkhard Monien

This work introduces a unified framework for analyzing games in greater depth. In the existing literature, players' strategies are typically assigned scalar values, and equilibrium concepts are used to identify compatible choices. However,…

Computer Science and Game Theory · Computer Science 2026-02-04 Melih İşeri , Erhan Bayraktar

How do rational agents self-organize when trying to connect to a common target? We study this question with a simple tree formation game which is related to the well-known fair single-source connection game by Anshelevich et al. (FOCS'04)…

Computer Science and Game Theory · Computer Science 2020-09-24 Davide Bilò , Tobias Friedrich , Pascal Lenzner , Anna Melnichenko , Louise Molitor

We study a routing game in which one of the players unilaterally acts altruistically by taking into consideration the latency cost of other players as well as his own. By not playing selfishly, a player can not only improve the other…

Computer Science and Game Theory · Computer Science 2011-08-16 Amar Prakash Azad , John Musacchio

The strategic selection of resources by selfish agents has long been a key area of research, with Resource Selection Games and Congestion Games serving as prominent examples. In these traditional frameworks, agents choose from a set of…

Computer Science and Game Theory · Computer Science 2025-05-13 Henri Zeiler

We study a class of location games where players want to attract as many resources as possible and pay a cost when deviating from an exogenous reference location. This class of games includes political competitions between policy-interested…

Computer Science and Game Theory · Computer Science 2022-07-29 Fournier Gaëtan , Francou Amaury

We propose a real-time nodal pricing mechanism for cost minimization and voltage control in a distribution network with autonomous distributed energy resources and analyze the resulting market using stochastic game theory. Unlike existing…

Systems and Control · Electrical Eng. & Systems 2025-09-04 Eli Brock , Jingqi Li , Javad Lavaei , Somayeh Sojoudi

Drawing intuition from a (physical) hydraulic system, we present a novel framework, constructively showing the existence of a strong Nash equilibrium in resource selection games (i.e., asymmetric singleton congestion games) with nonatomic…

Computer Science and Game Theory · Computer Science 2016-06-07 Yannai A. Gonczarowski , Moshe Tennenholtz