### Abstract

We introduce a unifying model to study the impact of worst-case latency deviations in non-atomic selfish routing games. In our model, latencies are subject to (bounded) deviations which are taken into account by the players. The quality deterioration caused by such deviations is assessed by the Deviation Ratio, i.e., the worst case ratio of the cost of a Nash flow with respect to deviated latencies and the cost of a Nash flow with respect to the unaltered latencies. This notion is inspired by the Price of Risk Aversion recently studied by Nikolova and Stier-Moses [9]. Here we generalize their model and results. In particular, we derive tight bounds on the Deviation Ratio for multi-commodity instances with a common source and arbitrary non-negative and non-decreasing latency functions. These bounds exhibit a linear dependency on the size of the network (besides other parameters). In contrast, we show that for general multi-commodity networks an exponential dependency is inevitable. We also improve recent smoothness results to bound the Price of Risk Aversion.

Original language | English |
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Title of host publication | Algorithmic Game Theory - 9th International Symposium, SAGT 2016, Proceedings |

Editors | Martin Gairing, Rahul Savani |

Publisher | Springer Verlag |

Pages | 129-140 |

Number of pages | 12 |

ISBN (Print) | 9783662533536 |

DOIs | |

Publication status | Published - 1 Jan 2016 |

Event | 9th International Symposium on Algorithmic Game Theory, SAGT 2016 - Liverpool, United Kingdom Duration: 19 Sep 2016 → 21 Sep 2016 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 9928 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Conference

Conference | 9th International Symposium on Algorithmic Game Theory, SAGT 2016 |
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Country | United Kingdom |

City | Liverpool |

Period | 19/09/16 → 21/09/16 |

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## Cite this

*Algorithmic Game Theory - 9th International Symposium, SAGT 2016, Proceedings*(pp. 129-140). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9928 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-662-53354-3_11