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| 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 | |
| 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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