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  1. Transactions on Economics and Computation (TEAC)
  2. ACM Transactions on Economics and Computation (TEAC) : Volume 1
  3. Issue 3, September 2013
  4. The Price of Uncertainty
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ACM Transactions on Economics and Computation (TEAC) : Volume 5
ACM Transactions on Economics and Computation (TEAC) : Volume 4
ACM Transactions on Economics and Computation (TEAC) : Volume 3
ACM Transactions on Economics and Computation (TEAC) : Volume 2
ACM Transactions on Economics and Computation (TEAC) : Volume 1
Issue 4, December 2013
Issue 3, September 2013
A Practical Liquidity-Sensitive Automated Market Maker
The Price of Uncertainty
Deconstructing Amazon EC2 Spot Instance Pricing
Competitive Shopbots-Mediated Markets
Issue 2(Special Issue on Algorithmic Game Theory), May 2013
Issue 1, January 2013

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The Price of Uncertainty

Content Provider ACM Digital Library
Author Mansour, Yishay Blum, Avrim Balcan, Maria-Florina
Copyright Year 2013
Abstract In this work, we study the degree to which small fluctuations in costs in well-studied potential games can impact the result of natural best-response and improved-response dynamics. We call this the Price of Uncertainty and study it in a wide variety of potential games including fair cost-sharing games, set-cover games, routing games, and job-scheduling games. We show that in certain cases, even extremely small fluctuations can have the ability to cause these dynamics to spin out of control and move to states of much higher social cost, whereas in other cases these dynamics are much more stable even to large degrees of fluctuation. We also consider the resilience of these dynamics to a small number of Byzantine players about which no assumptions are made. We show again a contrast between different games. In certain cases (e.g., fair cost-sharing, set-cover, job-scheduling) even a single Byzantine player can cause best-response dynamics to transition from low-cost states to states of substantially higher cost, whereas in others (e.g., the class of $\textit{β}-nice$ games, which includes routing, market-sharing and many others) these dynamics are much more resilient. Overall, our work can be viewed as analyzing the inherent resilience or $\textit{safety}$ of games to different kinds of imperfections in player behavior, player information, or in modeling assumptions made.
Starting Page 1
Ending Page 29
Page Count 29
File Format PDF
ISSN 21678375
e-ISSN 21678383
DOI 10.1145/2509413.2509415
Volume Number 1
Issue Number 3
Journal ACM Transactions on Economics and Computation (TEAC)
Language English
Publisher Association for Computing Machinery (ACM)
Publisher Date 2013-09-01
Publisher Place New York
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Game theory Best-response dynamics Potential games Quality of equilibria Social cost Uncertainty
Content Type Text
Resource Type Article
Subject Economics and Econometrics Marketing Computational Mathematics Statistics and Probability Computer Science
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