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We study {\em bottleneck routing games} where the social cost is determined by the worst congestion on any edge in the network. In the literature, bottleneck games assume player utility costs determined by the worst congested edge in their…

Computer Science and Game Theory · Computer Science 2015-05-18 Rajgopal Kannan , Costas Busch

We prove that every finite two-person shortest path game, where the local cost of every move is positive for each player, has a Nash equilibrium (NE) in pure stationary strategies, which can be computed in polynomial time. We also extend…

Discrete Mathematics · Computer Science 2025-05-22 Endre Boros , Khaled Elbassioni , Vladimir Gurvich , Mikhail Vyalyi

Due to the lack of coordination, it is unlikely that the selfish players of a strategic game reach a socially good state. A possible way to cope with selfishness is to compute a desired outcome (if it is tractable) and impose it. However…

Computer Science and Game Theory · Computer Science 2010-12-20 Bruno Escoffier , Laurent Gourvès , Jérôme Monnot

Selfish routing is a central problem in algorithmic game theory, with one of the principal applications being that of routing in road networks. Inspired by the emergence of routing technologies and autonomous driving, we revisit selfish…

Computer Science and Game Theory · Computer Science 2017-07-04 Soumya Basu , Ger Yang , Thanasis Lianeas , Evdokia Nikolova , Yitao Chen

One common assumption in game theory is that any player optimizes a utility function that takes into account only its own payoff. However, it has long been observed that in real life players may adopt an altruistic or even spiteful…

Computer Science and Game Theory · Computer Science 2025-11-25 Michail Fasoulakis , Leonidas Bakopoulos , Charilaos Akasiadis , Georgios Chalkiadakis

Many distributed systems can be modeled as network games: a collection of selfish players that communicate in order to maximize their individual utilities. The performance of such games can be evaluated through the costs of the system…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-18 Petr Kuznetsov , Stefan Schmid

We consider a large queueing system that consists of many strategic servers that are weakly interacting. Each server processes jobs from its unique critically loaded buffer and controls the rate of arrivals and departures associated with…

Probability · Mathematics 2017-09-19 Erhan Bayraktar , Amarjit Budhiraja , Asaf Cohen

In many multi-player interactions, players incur strictly positive costs each time they execute actions e.g. 'menu costs' or transaction costs in financial systems. Since acting at each available opportunity would accumulate prohibitively…

Multiagent Systems · Computer Science 2024-08-02 David Mguni

We study the open question of how players learn to play a social optimum pure-strategy Nash equilibrium (PSNE) through repeated interactions in general-sum coordination games. A social optimum of a game is the stable Pareto-optimal state…

Computer Science and Game Theory · Computer Science 2023-07-26 Duong Nguyen , Langford White , Hung Nguyen

We analyze novel portfolio liquidation games with self-exciting order flow. Both the N-player game and the mean-field game are considered. We assume that players' trading activities have an impact on the dynamics of future market order…

Optimization and Control · Mathematics 2020-11-12 Guanxing Fu , Ulrich Horst , Xiaonyu Xia

We consider a game-theoretic setting to model the interplay between attacker and defender in the context of information flow, and to reason about their optimal strategies. In contrast with standard game theory, in our games the utility of a…

Cryptography and Security · Computer Science 2022-05-03 Mário S. Alvim , Konstantinos Chatzikokolakis , Yusuke Kawamoto , Catuscia Palamidessi

We study selfish routing games where users can choose between regular and priority service for each network edge on their chosen path. Priority users pay an additional fee, but in turn they may travel the edge prior to non-priority users,…

Computer Science and Game Theory · Computer Science 2026-02-09 Yang Li , Alexander Skopalik , Marc Uetz

This paper investigates the impact of perturbations on the best-response-based algorithms approximating Nash equilibria in zero-sum games, namely Double Oracle and Fictitious Play. More precisely, we assume that the oracle computing the…

Computer Science and Game Theory · Computer Science 2025-11-18 Adam Dziwoki , Rostislav Horcik

This paper considers a two-player game where each player chooses a resource from a finite collection of options. Each resource brings a random reward. Both players have statistical information regarding the rewards of each resource.…

Computer Science and Game Theory · Computer Science 2023-09-19 Mevan Wijewardena , Michael J. Neely

We introduce a unifying model to study the impact of worst-case latency deviations in non-atomic selfish routing games. In our model, latencies are subject to (bounded) deviations which are taken into account by the players. The quality…

Computer Science and Game Theory · Computer Science 2016-06-23 Pieter Kleer , Guido Schäfer

We seek to understand the fundamental mathematics governing infrastructure-scale interactions between humans and machines, particularly when the machines' intended purpose is to influence and optimize the behavior of the humans. To that…

Computer Science and Game Theory · Computer Science 2020-07-14 Philip N. Brown

This paper studies the effects of introducing altruistic agents into atomic congestion games. Altruistic behavior is modeled by a trade-off between selfish and social objectives. In particular, we assume agents optimize a linear combination…

Computer Science and Game Theory · Computer Science 2009-02-04 Martin Hoefer , Alexander Skopalik

We study optimal equilibria in multi-player games. An equilibrium is optimal for a player, if her payoff is maximal. A tempting approach to solving this problem is to seek optimal Nash equilibria, the standard form of equilibria where no…

Computer Science and Game Theory · Computer Science 2013-07-09 Anshul Gupta , Sven Schewe

In this work, we investigate an application of a Nash equilibrium seeking algorithm in a social network. In a networked game each player (user) takes action in response to other players' actions in order to decrease (increase) his cost…

Computer Science and Game Theory · Computer Science 2017-03-28 Farzad Salehisadaghiani

We study bottleneck routing games where the social cost is determined by the worst congestion on any edge in the network. Bottleneck games have been studied in the literature by having the player's utility costs to be determined by the…

Computer Science and Game Theory · Computer Science 2009-11-24 Rajgopal Kannan , Costas Busch