# Data-Driven Models of Selfish Routing: Why Price of Anarchy Does Depend on Network Topology

@article{Benita2020DataDrivenMO, title={Data-Driven Models of Selfish Routing: Why Price of Anarchy Does Depend on Network Topology}, author={Francisco Benita and Vittorio Bil{\`o} and Barnab{\'e} Monnot and Georgios Piliouras and Cosimo Vinci}, journal={ArXiv}, year={2020}, volume={abs/2009.12871} }

We investigate traffic routing both from the perspective of real world data as well as theory. First, we reveal through data analytics a natural but previously uncaptured regularity of real world routing behavior. Agents only consider, in their strategy sets, paths whose free-flow costs (informally their lengths) are within a small multiplicative $(1+\theta)$ constant of the optimal free-flow cost path connecting their source and destination where $\theta\geq0$. In the case of Singapore…

## 4 Citations

Routing Games in the Wild: Efficiency, Equilibration, Regret, and a Price of Anarchy Bound via Long Division

- Computer ScienceACM Transactions on Economics and Computation
- 2022

A new metric, the Free-flow Index (FFI) is introduced, which reflects the inefficiency resulting from system congestion and is the first model-free computation of an upper bound to the price of anarchy utilizing only real world measurements of traffic data.

Weighted Stackelberg Algorithms for Road Traffic Optimization

- Computer ScienceSIGSPATIAL/GIS
- 2021

A weighted version of the Stackelberg routing problem in which the delay experienced by non-users of the platform is discounted by some parameter β < 1, and natural algorithms for this problem are studied and provable guarantees in the form of constant approximation ratios are provided.

The Impact of Selfish Behavior in Load Balancing Games

- Computer Science
- 2022

This work investigates whether better performance are possible when restricting to load balancing games in which players can only choose among single resources, and proves that, under mild assumptions on the latency functions, improvements on the performance of approximate pure Nash equilibria are possible for load balancinggames with weighted and symmetric players.

On the Robustness of the Approximate Price of Anarchy in Generalized Congestion Games

- EconomicsTheoretical Computer Science
- 2022

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