Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Online distributed algorithms for seeking generalized Nash equilibria in
  dynamic environments   In this paper, we study the distributed generalized Nash equilibrium seeking
problem of non-cooperative games in dynamic environments. Each player in the
game aims to minimize its own time-varying cost function subject to a local
action set. The action sets of all players are coupled through a shared convex
inequality constraint. Each player can only have access to its own cost
function, its own set constraint and a local block of the inequality
constraint, and can only communicate with its neighbours via a connected graph.
Moreover, players do not have prior knowledge of their future cost functions.
To address this problem, an online distributed algorithm is proposed based on
consensus algorithms and a primal-dual strategy. Performance of the algorithm
is measured by using dynamic regrets. Under mild assumptions on graphs and cost
functions, we prove that if the deviation of variational generalized Nash
equilibrium sequence increases within a certain rate, then the regrets, as well
as the violation of inequality constraint, grow sublinearly. A simulation is
presented to demonstrate the effectiveness of our theoretical results.

35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph