Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rational Generalized Nash Equilibrium Problems   This paper studies generalized Nash equilibrium problems that are given by
rational functions. Rational expressions for Lagrange multipliers and feasible
extensions of KKT points are introduced to compute generalized Nash equilibria
(GNEs). We give a hierarchy of rational optimization problems to solve rational
generalized Nash equilibrium problems. The existence and computation of
feasible extensions are studied. The Moment-SOS relaxations are applied to
solve the rational optimization problems. Under some general assumptions, we
show that the proposed hierarchy can compute a GNE if it exists or detect its
nonexistence. Numerical experiments are given to show the efficiency of the
proposed method.

16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph