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Risk sensitivity of price of anarchy under uncertainty

Published: 16 June 2013 Publication History

Abstract

In algorithmic game theory, the price of anarchy framework studies efficiency loss in decentralized environments. In optimization and decision theory, the price of robustness framework explores the tradeoffs between optimality and robustness in the case of single agent decision making under uncertainty. We establish a connection between the two that provides a novel analytic framework for proving tight performance guarantees for distributed systems in uncertain environments. We present applications of this framework to novel variants of atomic congestion games with uncertain costs, for which we provide tight performance bounds under a wide range of risk attitudes. Our results establish that the individual's attitude towards uncertainty has a critical effect on system performance and should therefore be a subject of close and systematic investigation.

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  • (2019)Improving Selfish Routing for Risk-Averse PlayersTheory of Computing Systems10.1007/s00224-019-09946-8Online publication date: 10-Sep-2019
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cover image ACM Conferences
EC '13: Proceedings of the fourteenth ACM conference on Electronic commerce
June 2013
924 pages
ISBN:9781450319621
DOI:10.1145/2492002
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Publication History

Published: 16 June 2013

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Author Tags

  1. congestion games
  2. price of anarchy
  3. price of robustness
  4. robust optimization
  5. stochastic optimization

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EC '13
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EC '13: ACM Conference on Electronic Commerce
June 16 - 20, 2013
Pennsylvania, Philadelphia, USA

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EC '13 Paper Acceptance Rate 72 of 223 submissions, 32%;
Overall Acceptance Rate 664 of 2,389 submissions, 28%

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Cited By

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  • (2023)Value of Information in Incentive Design: A Case Study in Simple Congestion NetworksIEEE Transactions on Computational Social Systems10.1109/TCSS.2023.330587210:6(3077-3088)Online publication date: Dec-2023
  • (2019)Improving Selfish Routing for Risk-Averse PlayersTheory of Computing Systems10.1007/s00224-019-09946-8Online publication date: 10-Sep-2019
  • (2019)Price of Anarchy for Highly Congested Routing Games in Parallel NetworksTheory of Computing Systems10.1007/s00224-017-9834-163:1(90-113)Online publication date: 1-Jan-2019
  • (2019)The Price of Anarchy for the Load Balancing Game with a Randomizing SchedulerCombinatorial Optimization and Applications10.1007/978-3-030-36412-0_9(107-118)Online publication date: 23-Nov-2019
  • (2018)When does diversity of agent preferences improve outcomes in selfish routing?Proceedings of the 27th International Joint Conference on Artificial Intelligence10.5555/3304415.3304441(173-179)Online publication date: 13-Jul-2018
  • (2017)The Robustness of Marginal-Cost Taxes in Affine Congestion GamesIEEE Transactions on Automatic Control10.1109/TAC.2016.261967462:8(3999-4004)Online publication date: Aug-2017
  • (2017)Studies on Robust Social Influence Mechanisms: Incentives for Efficient Network Routing in Uncertain SettingsIEEE Control Systems10.1109/MCS.2016.262148237:1(98-115)Online publication date: Feb-2017
  • (2017)Short Sequences of Improvement Moves Lead to Approximate Equilibria in Constraint Satisfaction GamesAlgorithmica10.1007/s00453-016-0143-x77:4(1143-1158)Online publication date: 1-Apr-2017
  • (2017)Tight Inefficiency Bounds for Perception-Parameterized Affine Congestion GamesAlgorithms and Complexity10.1007/978-3-319-57586-5_32(381-392)Online publication date: 14-Apr-2017
  • (2016)Asymptotically tight bounds for inefficiency in risk-averse selfish routingProceedings of the Twenty-Fifth International Joint Conference on Artificial Intelligence10.5555/3060621.3060669(338-344)Online publication date: 9-Jul-2016
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