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An atomic routing game is a multiplayer game on a directed graph. Each player in the game chooses a path -- a sequence of links that connect its origin node to its destination node -- with the lowest cost, where the cost of each link is a…

Computer Science and Game Theory · Computer Science 2023-05-19 Yue Yu , Shenghui Chen , David Fridovich-Keil , Ufuk Topcu

We study network formation with n players and link cost \alpha > 0. After the network is built, an adversary randomly deletes one link according to a certain probability distribution. Cost for player v incorporates the expected number of…

Computer Science and Game Theory · Computer Science 2012-02-23 Lasse Kliemann

We introduce and analyze greedy equilibria (GE) for the well-known model of selfish network creation by Fabrikant et al.[PODC'03]. GE are interesting for two reasons: (1) they model outcomes found by agents which prefer smooth adaptations…

Computer Science and Game Theory · Computer Science 2012-10-31 Pascal Lenzner

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

We study how the structure of the interaction graph of a game affects the existence of pure Nash equilibria. In particular, for a fixed interaction graph, we are interested in whether there are pure Nash equilibria arising when random…

Probability · Mathematics 2012-11-13 Constantinos Daskalakis , Alexandros G. Dimakis , Elchanan Mossel

This paper addresses a class of network games played by dynamic agents using their outputs. Unlike most existing related works, the Nash equilibrium in this work is defined by functions of agent outputs instead of full agent states, which…

Optimization and Control · Mathematics 2023-04-27 Meichen Guo , Claudio De Persis

A recent body of experimental literature has studied empirical game-theoretical analysis, in which we have partial knowledge of a game, consisting of observations of a subset of the pure-strategy profiles and their associated payoffs to…

Computer Science and Game Theory · Computer Science 2014-02-13 John Fearnley , Martin Gairing , Paul Goldberg , Rahul Savani

Synthesis of finite-state controllers from high-level specifications in multi-agent systems can be reduced to solving multi-player concurrent games over finite graphs. The complexity of solving such games with qualitative objectives for…

Computer Science and Game Theory · Computer Science 2018-09-28 Shaull Almagor , Rajeev Alur , Suguman Bansal

Payment networks were introduced to address the limitation on the transaction throughput of popular blockchains. To open a payment channel one has to publish a transaction on-chain and pay the appropriate transaction fee. A transaction can…

Computer Science and Game Theory · Computer Science 2019-08-06 Georgia Avarikioti , Rolf Scheuner , Roger Wattenhofer

We study a network congestion game of discrete-time dynamic traffic of atomic agents with a single origin-destination pair. Any agent freely makes a dynamic decision at each vertex (e.g., road crossing) and traffic is regulated with given…

Computer Science and Game Theory · Computer Science 2017-05-05 Zhigang Cao , Bo Chen , Xujin Chen , Changjun Wang

Studying the impact of cooperation in strategic settings is one of the cornerstones of algorithmic game theory. Intuitively, allowing more cooperation yields equilibria that are more beneficial for the society of agents. However, for many…

Computer Science and Game Theory · Computer Science 2025-10-02 Hans Gawendowicz , Pascal Lenzner , Lukas Weyand

In this paper we consider strategic cost sharing games with so-called arbitrary sharing based on various combinatorial optimization problems, such as vertex and set cover, facility location, and network design problems. We concentrate on…

Computer Science and Game Theory · Computer Science 2010-03-17 Martin Hoefer

We consider {\em bidding games}, a class of two-player zero-sum {\em graph games}. The game proceeds as follows. Both players have bounded budgets. A token is placed on a vertex of a graph, in each turn the players simultaneously submit…

Computer Science and Game Theory · Computer Science 2023-07-31 Guy Avni , Tobias Meggendorfer , Suman Sadhukhan , Josef Tkadlec , Đorđe Žikelić

We study a network formation game where agents receive benefits by forming connections to other agents but also incur both direct and indirect costs from the formed connections. Specifically, once the agents have purchased their…

Computer Science and Game Theory · Computer Science 2019-06-04 Yu Chen , Shahin Jabbari , Michael Kearns , Sanjeev Khanna , Jamie Morgenstern

We introduce a class of budgeted prize-collecting covering subgraph problems. For an input graph with prizes on the vertices and costs on the edges, the aim of these problems is to find a connected subgraph such that the cost of its edges…

Optimization and Control · Mathematics 2021-08-05 Nicola Morandi , Roel Leus , Hande Yaman

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 study the following communication variant of local search. There is some fixed, commonly known graph $G$. Alice holds $f_A$ and Bob holds $f_B$, both are functions that specify a value for each vertex. The goal is to find a local maximum…

Computer Science and Game Theory · Computer Science 2018-10-09 Yakov Babichenko , Shahar Dobzinski , Noam Nisan

We consider network contribution games, where each agent in a social network has a budget of effort that he can contribute to different collaborative projects or relationships. Depending on the contribution of the involved agents a…

Computer Science and Game Theory · Computer Science 2012-04-27 Elliot Anshelevich , Martin Hoefer

We propose and analyze a broad family of games played by resource-constrained players, which are characterized by the following central features: 1) each user has a multi-dimensional action space, subject to a single sum resource…

Computer Science and Game Theory · Computer Science 2010-05-07 Yi Su , Mihaela van der Schaar

In this work we address a game theoretic variant of the shortest path problem, in which two decision makers (players) move together along the edges of a graph from a given starting vertex to a given destination. The two players take turns…

Discrete Mathematics · Computer Science 2015-06-02 Andreas Darmann , Ulrich Pferschy , Joachim Schauer