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In the context of networking, research has focused on non-cooperative games, where the selfish agents cannot reach a binding agreement on the way they would share the infrastructure. Many approaches have been proposed for mitigating the…

Networking and Internet Architecture · Computer Science 2016-01-19 Gideon Blocq , Ariel Orda

We consider non-cooperative unsplittable congestion games where players share resources, and each player's strategy is pure and consists of a subset of the resources on which it applies a fixed weight. Such games represent unsplittable…

Computer Science and Game Theory · Computer Science 2013-08-20 Rajgopal Kannan , Costas Busch , Paul Spirakis

We consider the min-cost multicast problem (under network coding) with multiple correlated sources where each terminal wants to losslessly reconstruct all the sources. We study the inefficiency brought forth by the selfish behavior of the…

Computer Science and Game Theory · Computer Science 2009-03-01 Aditya Ramamoorthy , Vwani Roychowdhury , Sudhir Kumar Singh

The price of anarchy (PoA) is a popular metric for analyzing the inefficiency of self-interested decision making. Although its study is widespread, characterizing the PoA can be challenging. A commonly employed approach is based on the…

Computer Science and Game Theory · Computer Science 2021-05-26 Rahul Chandan , Dario Paccagnan , Jason R. Marden

With the advent of prosumers, the traditional centralized operation may become impracticable due to computational burden, privacy concerns, and conflicting interests. In this paper, an energy sharing mechanism is proposed to accommodate…

Optimization and Control · Mathematics 2020-12-29 Yue Chen , Changhong Zhao , Steven H. Low , Shengwei Mei

We consider a fundamental game theoretic problem concerning selfish users contributing packets to an M/M/1 queue. In this game, each user controls its own input rate so as to optimize a desired tradeoff between throughput and delay. We…

Computer Science and Game Theory · Computer Science 2016-11-17 Yi Gai , Hua Liu , Bhaskar Krishnamachari

A common assumption in the existing network coding literature is that the users are cooperative and non-selfish. However, this assumption can be violated in practice. In this paper, we analyze inter-session network coding in a wired network…

Information Theory · Computer Science 2016-11-17 Amir-Hamed Mohsenian-Rad , Jianwei Huang , Vincent W. S. Wong , Sidharth Jaggi , Robert Schober

A central question in algorithmic game theory is to measure the inefficiency (ratio of costs) of Nash equilibria (NE) with respect to socially optimal solutions. The two established metrics used for this purpose are price of anarchy (POA)…

Data Structures and Algorithms · Computer Science 2016-11-24 Shuchi Chawla , Joseph , Naor , Debmalya Panigrahi , Mohit Singh , Seeun William Umboh

We analyze the setting of minimum-cost perfect matchings with selfish vertices through the price of anarchy (PoA) and price of stability (PoS) lens. The underlying solution concept used for this analysis is the Gale-Shapley stable matching…

Computational Geometry · Computer Science 2015-03-19 Yuval Emek , Tobias Langner , Roger Wattenhofer

Best-Fit is one of the most prominent and practically used algorithms for the bin packing problem, where a set of items with associated sizes needs to be packed in the minimum number of unit-capacity bins. Kenyon [SODA '96] studied online…

Data Structures and Algorithms · Computer Science 2024-01-10 Anish Hebbar , Arindam Khan , K. V. N. Sreenivas

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 study a general scenario of simultaneous contests that allocate prizes based on equal sharing: each contest awards its prize to all players who satisfy some contest-specific criterion, and the value of this prize to a winner decreases as…

Computer Science and Game Theory · Computer Science 2022-07-19 Edith Elkind , Abheek Ghosh , Paul W. Goldberg

A network creation game simulates a decentralized and non-cooperative building of a communication network. Informally, there are $n$ players sitting on the network nodes, which attempt to establish a reciprocal communication by activating,…

Computer Science and Game Theory · Computer Science 2011-12-20 Davide Bilò , Luciano Gualà , Guido Proietti

We study the extent to which decentralized cost-sharing protocols can achieve good price of anarchy (PoA) bounds in network cost-sharing games with $n$ agents. We focus on the model of resource-aware protocols, where the designer has prior…

Computer Science and Game Theory · Computer Science 2020-07-09 George Christodoulou , Vasilis Gkatzelis , Mohamad Latifian , Alkmini Sgouritsa

We study policies aiming to minimize the weighted sum of completion times of jobs in the context of coordination mechanisms for selfish scheduling problems. Our goal is to design local policies that achieve a good price of anarchy in the…

Computer Science and Game Theory · Computer Science 2010-12-23 Richard Cole , José R. Correa , Vasilis Gkatzelis , Vahab Mirrokni , Neil Olver

The goal in this paper is to approximate the Price of Stability (PoS) in stochastic Nash games using stochastic approximation (SA) schemes. PoS is amongst the most popular metrics in game theory and provides an avenue for estimating the…

Optimization and Control · Mathematics 2023-10-31 Afrooz Jalilzadeh , Farzad Yousefian , Mohammadjavad Ebrahimi

In this paper, we introduce an improved upper bound for the efficiency of Nash equilibria in utilitarian scheduling games on related machines. The machines have varying speeds and adhere to the Shortest Processing Time (SPT) policy as the…

Computer Science and Game Theory · Computer Science 2024-01-12 Andre Berger , Arman Rouhani , Marc Schröder

We present a deterministic polynomial-time algorithm for computing $d^{d+o(d)}$-approximate (pure) Nash equilibria in (proportional sharing) weighted congestion games with polynomial cost functions of degree at most $d$. This is an…

Computer Science and Game Theory · Computer Science 2020-11-26 Yiannis Giannakopoulos , Georgy Noarov , Andreas S. Schulz

We study the trade-off between the Price of Anarchy (PoA) and the Price of Stability (PoS) in mechanism design, in the prototypical problem of unrelated machine scheduling. We give bounds on the space of feasible mechanisms with respect to…

Computer Science and Game Theory · Computer Science 2021-02-25 Aris Filos-Ratsikas , Yiannis Giannakopoulos , Philip Lazos

We consider the problem of designing network cost-sharing protocols with good equilibria under uncertainty. The underlying game is a multicast game in a rooted undirected graph with nonnegative edge costs. A set of k terminal vertices or…

Computer Science and Game Theory · Computer Science 2015-07-27 George Christodoulou , Alkmini Sgouritsa