Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability and optimality of multi-scale transportation networks with
  distributed dynamic tolls   We study transportation networks controlled by dynamical feedback tolls. We
consider a multiscale transportation network model whereby the dynamics of the
traffic flows are intertwined with those of the drivers' route choices. The
latter are influenced by the congestion status on the whole network as well as
dynamic tolls set by the system operator. Our main result shows that a broad
class of decentralized congestion-dependent tolls globally stabilise the
transportation network around a Wardrop equilibrium. Moreover, using dynamic
marginal cost tolls, stability of the transportation network can be guaranteed
around the social optimum traffic assignment. This is particularly remarkable
as the considered decentralized feedback toll policies do not require any
global information about the network structure or the exogenous traffic load on
the network or state and can be computed in a fully local way. We also evaluate
the performance of these feedback toll policies both in the asymptotic and
during the transient regime, through numerical simulations.

17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th