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The Price of Anarchy (PoA) is a standard metric for quantifying inefficiency in socio-technical systems, widely used to guide policies like traffic tolling. Conventional PoA analysis relies on exact numerical costs. However, in many…

Computer Science and Game Theory · Computer Science 2025-12-08 Ilia Shilov , Mingjia He , Heinrich H. Nax , Emilio Frazzoli , Gioele Zardini , Saverio Bolognani

The efficiency of a game is typically quantified by the price of anarchy (PoA), defined as the worst ratio of the objective function value of an equilibrium --- solution of the game --- and that of an optimal outcome. Given the tremendous…

Computer Science and Game Theory · Computer Science 2017-08-23 Nguyen Kim Thang

We introduce a framework for studying the effect of cooperation on the quality of outcomes in utility games. Our framework is a coalitional analog of the smoothness framework of non-cooperative games. Coalitional smoothness implies bounds…

Computer Science and Game Theory · Computer Science 2013-07-10 Yoram Bachrach , Vasilis Syrgkanis , Eva Tardos , Milan Vojnovic

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 investigate the price of anarchy (PoA) in non-atomic congestion games when the total demand $T$ gets very large. First results in this direction have recently been obtained by \cite{Colini2016On, Colini2017WINE, Colini2017arxiv} for…

Computer Science and Game Theory · Computer Science 2021-07-20 Wu Zijun , Moehring Rolf H. , Chen Yanyan , Xu Dachuan

The congestion pricing is an efficient allocation approach to mediate demand and supply of network resources. Different from the previous pricing using Affine Marginal Cost (AMC), we focus on studying the game between network coding and…

Networking and Internet Architecture · Computer Science 2011-10-20 Wang Gang , Dai Xia

The price of anarchy (PoA) has been widely used in static games to quantify the loss of efficiency due to noncooperation. Here, we extend this concept to a general differential games framework. In addition, we introduce the price of…

Systems and Control · Computer Science 2015-03-19 Tamer Basar , Quanyan Zhu

Today's multiagent systems have grown too complex to rely on centralized controllers, prompting increasing interest in the design of distributed algorithms. In this respect, game theory has emerged as a valuable tool to complement more…

Systems and Control · Computer Science 2020-02-19 Rahul Chandan , Dario Paccagnan , Jason R. Marden

This paper examines the impact of agents' myopic optimization on the efficiency of systems comprised by many selfish agents. In contrast to standard congestion games where agents interact in a one-shot fashion, in our model each agent…

Computer Science and Game Theory · Computer Science 2025-04-30 Yunpeng Li , Antonis Dimakis , Costas A. Courcoubetis

This work focuses on the design of taxes in atomic congestion games, a commonly studied model for competitive resource sharing. While most related studies focus on optimizing either the worst- or best-case performance (i.e., Price of…

Computer Science and Game Theory · Computer Science 2023-04-14 Rahul Chandan , Dario Paccagnan , Jason R. Marden

This paper shows that the PoA in non-atomic congestion games is H{\"o}lder continuous w.r.t. combined disturbance on cost functions and demands. We then apply this result to the convergence analysis of the PoA.

Computer Science and Game Theory · Computer Science 2021-08-24 Zijun Wu , Rolf Moehring

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

We consider a general class of Bayesian Games where each players utility depends on his type (possibly multidimensional) and on the strategy profile and where players' types are distributed independently. We show that if their full…

Computer Science and Game Theory · Computer Science 2012-03-26 Vasilis Syrgkanis

Incorporating budget constraints into the analysis of auctions has become increasingly important, as they model practical settings more accurately. The social welfare function, which is the standard measure of efficiency in auctions, is…

Computer Science and Game Theory · Computer Science 2015-11-05 Yossi Azar , Michal Feldman , Nick Gravin , Alan Roytman

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

The Price of Anarchy (PoA) is a well-established game-theoretic concept to shed light on coordination issues arising in open distributed systems. Leaving agents to selfishly optimize comes with the risk of ending up in sub-optimal states…

Computer Science and Game Theory · Computer Science 2019-06-04 Krishnendu Chatterjee , Laura Schmid , Stefan Schmid

We study the inefficiency of equilibria for various classes of games when players are (partially) altruistic. We model altruistic behavior by assuming that player i's perceived cost is a convex combination of 1-\alpha_i times his direct…

Computer Science and Game Theory · Computer Science 2013-02-21 Po-An Chen , Bart de Keijzer , David Kempe , Guido Schaefer

We study the efficiency of the proportional allocation mechanism, that is widely used to allocate divisible resources. Each agent submits a bid for each divisible resource and receives a fraction proportional to her bids. We quantify the…

Computer Science and Game Theory · Computer Science 2015-07-28 George Christodoulou , Alkmini Sgouritsa , Bo Tang

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

There have been great efforts in studying the cascading behavior in social networks such as the innovation diffusion, etc. Game theoretically, in a social network where individuals choose from two strategies: A (the innovation) and B (the…

Computer Science and Game Theory · Computer Science 2014-07-29 Xilun Chen , Chenxia Wu
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