Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact Penalization of Generalized Nash Equilibrium Problems   This paper presents an exact penalization theory of the generalized Nash
equilibrium problem (GNEP) that has its origin from the renowned Arrow-Debreu
general economic equilibrium model. While the latter model is the foundation of
much of mathematical economics, the GNEP provides a mathematical model of
multi-agent non-cooperative competition that has found many contemporary
applications in diverse engineering domains. The most salient feature of the
GNEP that distinguishes it from a standard non-cooperative (Nash) game is that
each player's optimization problem contains constraints that couple all
players' decision variables. Extending results for stand-alone optimization
problems, the penalization theory aims to convert the GNEP into a game of the
standard kind without the coupled constraints, which is known to be more
readily amenable to solution methods and analysis. Starting with an
illustrative example to motivate the development, the paper focuses on two
kinds of coupled constraints, shared (i.e., common) and finitely representable.
Constraint residual functions and the associated error bound theory play an
important role throughout the development.

37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn