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In the online sorting problem, we have an array $A$ of $n$ cells, and receive a stream of $n$ items $x_1,\dots,x_n\in [0,1]$. When an item arrives, we need to immediately and irrevocably place it into an empty cell. The goal is to minimize…

Data Structures and Algorithms · Computer Science 2025-10-23 Yang Hu

We introduce set packing games as an abstraction of situations in which $n$ selfish players select subsets of a finite set of indivisible items, and analyze the quality of several equilibria for this class of games. Assuming that players…

Computer Science and Game Theory · Computer Science 2023-03-06 Jasper de Jong , Marc Uetz

Overcoming the impact of selfish behavior of rational players in multiagent systems is a fundamental problem in game theory. Without any intervention from a central agent, strategic users take actions in order to maximize their personal…

Computer Science and Game Theory · Computer Science 2024-09-06 Maria-Florina Balcan , Matteo Pozzi , Dravyansh Sharma

Auto-bidding is an area of increasing importance in the domain of online advertising. We study the problem of designing auctions in an auto-bidding setting with the goal of maximizing welfare at system equilibrium. Previous results showed…

Computer Science and Game Theory · Computer Science 2022-04-26 Aranyak Mehta

In general, the games are played on a host graph, where each node is a selfish independent agent (player) and each edge has a fixed link creation cost \alpha. Together the agents create a network (a subgraph of the host graph) while…

Computer Science and Game Theory · Computer Science 2009-02-10 Erik D. Demaine , Mohammadtaghi Hajiaghayi , Hamid Mahini , Morteza Zadimoghaddam

The $\alpha$-fair resource allocation problem has received remarkable attention and has been studied in numerous application fields. Several algorithms have been proposed in the context of $\alpha$-fair resource sharing to distributively…

Networking and Internet Architecture · Computer Science 2018-02-09 Zaid Allybokus , Konstantin Avrachenkov , Jérémie Leguay , Lorenzo Maggi

We consider a game-theoretic setting in which selfish individuals compete over resources of varying quality. The motivating example is a group of animals that disperse over patches of food of different abundances. In such scenarios,…

Computer Science and Game Theory · Computer Science 2018-05-04 Simon Collet , Amos Korman

In this work we study of competitive situations among users of a set of global resources. More precisely we study the effect of cost policies used by these resources in the convergence time to a pure Nash equilibrium. The work is divided in…

Computer Science and Game Theory · Computer Science 2011-03-28 Vissarion Fisikopoulos

This paper establishes the Price of Stability (PoS) for First Price Auctions, for all equilibrium concepts that have been studied in the literature: Bayes Nash Equilibrium $\subsetneq$ Bayes Correlated Equilibrium $\subsetneq$ Bayes Coarse…

Computer Science and Game Theory · Computer Science 2022-07-12 Yaonan Jin , Pinyan Lu

In the network design game with $n$ players, every player chooses a path in an edge-weighted graph to connect her pair of terminals, sharing costs of the edges on her path with all other players fairly. We study the price of stability of…

Computer Science and Game Theory · Computer Science 2014-06-16 Akaki Mamageishvili , Matúš Mihalák , Simone Montemezzani

Many algorithms that are originally designed without explicitly considering incentive properties are later combined with simple pricing rules and used as mechanisms. The resulting mechanisms are often natural and simple to understand. But…

Computer Science and Game Theory · Computer Science 2015-12-01 Paul Dütting , Thomas Kesselheim , Éva Tardos

Among the many functions a Smart City must support, transportation dominates in terms of resource consumption, strain on the environment, and frustration of its citizens. We study transportation networks under two different routing…

Optimization and Control · Mathematics 2018-01-08 Jing Zhang , Sepideh Pourazarm , Christos G. Cassandras , Ioannis Ch. Paschalidis

We introduce the subset assignment problem in which items of varying sizes are placed in a set of bins with limited capacity. Items can be replicated and placed in any subset of the bins. Each (item, subset) pair has an associated cost. Not…

Data Structures and Algorithms · Computer Science 2016-10-04 Shahram Ghandeharizadeh , Sandy Irani , Jenny Lam

We consider the scheduling problem on $n$ strategic unrelated machines when no payments are allowed, under the objective of minimizing the makespan. We adopt the model introduced in [Koutsoupias, Theory Comput. Syst. (2014)] where a machine…

Computer Science and Game Theory · Computer Science 2018-12-05 Yiannis Giannakopoulos , Elias Koutsoupias , Maria Kyropoulou

In this work, we revisit the problem of fairly allocating a number of indivisible items that are located on a line to multiple agents. A feasible allocation requires that the allocated items to each agent are connected on the line. The…

Computer Science and Game Theory · Computer Science 2022-05-24 Ankang Sun , Bo Li

We expand the literature on the price of anarchy (PoA) of simultaneous item auctions by considering settings with correlated values; we do this via the fundamental economic model of interdependent values (IDV). It is well-known that in…

Computer Science and Game Theory · Computer Science 2021-03-02 Alon Eden , Michal Feldman , Inbal Talgam-Cohen , Ori Zviran

We consider the problem of optimal charging of plug-in electric vehicles (PEVs). We treat this problem as a multi-agent game, where vehicles/agents are heterogeneous since they are subject to possibly different constraints. Under the…

Optimization and Control · Mathematics 2018-10-18 Luca Deori , Kostas Margellos , Maria Prandini

The paradigm of P2P (peer-to-peer) economy has emerged in diverse areas. "P2P energy sharing" is a new form of P2P economy in the energy sector, which allows users to establish longer-term sharing arrangements of their local energy…

Computer Science and Game Theory · Computer Science 2023-03-03 Sid Chi-Kin Chau , Khaled Elbassioni , Yue Zhou

We consider job scheduling settings, with multiple machines, where jobs arrive online and choose a machine selfishly so as to minimize their cost. Our objective is the classic makespan minimization objective, which corresponds to the…

Computer Science and Game Theory · Computer Science 2017-05-08 Michal Feldman , Amos Fiat , Alan Roytman

Balls-and-bins games have been a wildly successful tool for modeling load balancing problems. In this paper, we study a new scenario, which we call the ball recycling game, defined as follows: Throw m balls into n bins i.i.d. according to a…

Data Structures and Algorithms · Computer Science 2018-11-05 Michael A. Bender , Jake Christensen , Alex Conway , Martín Farach-Colton , Rob Johnson , Meng-Tsung Tsai
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