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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

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

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 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

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

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

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

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

The price of anarchy, originally introduced to quantify the inefficiency of selfish behavior in routing games, is extended to mean field games. The price of anarchy is defined as the ratio of a worst case social cost computed for a mean…

Optimization and Control · Mathematics 2018-08-31 Rene Carmona , Christy V. Graves , Zongjun Tan

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

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

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 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

This paper investigates the role of mediators in Bayesian games by examining their impact on social welfare through the price of anarchy (PoA) and price of stability (PoS). Mediators can communicate with players to guide them toward…

Computer Science and Game Theory · Computer Science 2025-06-04 Kaito Fujii

In this study, we formulate positive and negative externalities caused by changes in the supply of shared vehicles as ride sharing games. The study aims to understand the price of anarchy (PoA) and its improvement via a coordination…

Computer Science and Game Theory · Computer Science 2016-04-05 Tatsuya Iwase , Takahiro Shiga

We consider multi-agent systems with general information networks where an agent may only observe a subset of other agents. A system designer assigns local utility functions to the agents guiding their actions towards an outcome which…

Computer Science and Game Theory · Computer Science 2025-01-30 Vartika Singh , Will Wesley , Philip N. Brown

This paper investigates design of noncooperative games from an optimization and control theoretic perspective. Pricing mechanisms are used as a design tool to ensure that the Nash equilibrium of a fairly general class of noncooperative…

Computer Science and Game Theory · Computer Science 2010-07-02 Tansu Alpcan , Lacra Pavel , Nem Stefanovic

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

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 cost-sharing connection game is a variant of routing games on a network. In this model, given a directed graph with edge costs and edge capacities, each agent wants to construct a path from a source to a sink with low cost. The users…

Computer Science and Game Theory · Computer Science 2023-03-01 Tesshu Hanaka , Toshiyuki Hirose , Hirotaka Ono
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