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相关论文: A sensitivity analysis for the price of anarchy in…

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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…

计算机科学与博弈论 · 计算机科学 2019-06-04 Krishnendu Chatterjee , Laura Schmid , Stefan Schmid

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…

计算机科学与博弈论 · 计算机科学 2015-04-06 Michal Feldman , Nicole Immorlica , Brendan Lucier , Tim Roughgarden , Vasilis Syrgkanis

This paper examines the behavior of the price of anarchy as a function of the traffic inflow in nonatomic congestion games with multiple origin-destination (O/D) pairs. Empirical studies in real-world networks show that the price of anarchy…

计算机科学与博弈论 · 计算机科学 2018-04-12 Riccardo Colini-Baldeschi , Roberto Cominetti , Panayotis Mertikopoulos , Marco Scarsini

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…

计算机科学与博弈论 · 计算机科学 2020-11-26 Yiannis Giannakopoulos , Georgy Noarov , Andreas S. Schulz

We consider the interaction among agents engaging in a driving task and we model it as general-sum game. This class of games exhibits a plurality of different equilibria posing the issue of equilibrium selection. While selecting the most…

Congestion games constitute an important class of non-cooperative games which was introduced by Rosenthal in 1973. In recent years, several extensions of these games were proposed to incorporate aspects that are not captured by the standard…

计算机科学与博弈论 · 计算机科学 2017-01-27 Pieter Kleer , Guido Schäfer

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…

计算机科学与博弈论 · 计算机科学 2014-07-29 Xilun Chen , Chenxia Wu

We introduce natural strategic games on graphs, which capture the idea of coordination in a local setting. We study the existence of equilibria that are resilient to coalitional deviations of unbounded and bounded size (i.e., strong…

计算机科学与博弈论 · 计算机科学 2016-10-19 Krzysztof R. Apt , Bart de Keijzer , Mona Rahn , Guido Schaefer , Sunil Simon

This paper gives a complete analysis of worst-case equilibria for various versions of weighted congestion games with two players and affine cost functions. The results are exact price of anarchy bounds which are parametric in the weights of…

计算机科学与博弈论 · 计算机科学 2022-03-04 Joran van den Bosse , Marc Uetz , Matthias Walter

We give exponential lower bounds on the Price of Stability (PoS) of weighted congestion games with polynomial cost functions. In particular, for any positive integer $d$ we construct rather simple games with cost functions of degree at most…

计算机科学与博弈论 · 计算机科学 2019-08-27 George Christodoulou , Martin Gairing , Yiannis Giannakopoulos , Paul G. Spirakis

When many independent users try to route traffic through a network, the flow can easily become suboptimal as a consequence of congestion of the most efficient paths. The degree of this suboptimality is quantified by the so-called "price of…

无序系统与神经网络 · 物理学 2015-05-19 Brian Skinner

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…

计算机科学与博弈论 · 计算机科学 2009-03-01 Aditya Ramamoorthy , Vwani Roychowdhury , Sudhir Kumar Singh

We study {\em bottleneck congestion games} where the social cost is determined by the worst congestion of any resource. These games directly relate to network routing problems and also job-shop scheduling problems. In typical bottleneck…

计算机科学与博弈论 · 计算机科学 2010-10-26 Rajgopal Kannan , Costas Busch , Athanasios Vasilakos

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)…

数据结构与算法 · 计算机科学 2016-11-24 Shuchi Chawla , Joseph , Naor , Debmalya Panigrahi , Mohit Singh , Seeun William Umboh

Flows over time enable a mathematical modeling of traffic that changes as time progresses. In order to evaluate these dynamic flows from a game theoretical perspective we consider the price of anarchy (PoA). In this paper we study the…

计算机科学与博弈论 · 计算机科学 2020-07-09 Jonas Israel , Leon Sering

We describe a new coordination mechanism for non-atomic congestion games that leads to a (selfish) social cost which is arbitrarily close to the non-selfish optimal. This mechanism does not incur any additional extra cost, like tolls, which…

计算机科学与博弈论 · 计算机科学 2014-06-20 Josep Díaz , Ioannis Giotis , Lefteris Kirousis , Yiannis Mourtos , Maria J. Serna

This paper shows the existence of $\mathcal{O}(\frac{1}{n^\gamma})$-Nash equilibria in $n$-player noncooperative sum-aggregative games in which the players' cost functions, depending only on their own action and the average of all players'…

最优化与控制 · 数学 2022-09-27 Kang Liu , Nadia Oudjane , Cheng Wan

One of the main results shown through Roughgarden's notions of smooth games and robust price of anarchy is that, for any sum-bounded utilitarian social function, the worst-case price of anarchy of coarse correlated equilibria coincides with…

计算机科学与博弈论 · 计算机科学 2014-12-03 Vittorio Bilò

This work presents a variation of Naor's strategic observable model (1969), by adding a component of customer heterogeneity induced by the location of customers in relation to the server. Accordingly, customers incur a travel cost which…

最优化与控制 · 数学 2016-10-14 Refael Hassin , Irit Nowik , Yair Y. Shaki

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…

计算机科学与博弈论 · 计算机科学 2010-07-02 Tansu Alpcan , Lacra Pavel , Nem Stefanovic