Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak equilibriums for time-inconsistent stopping control problems, with
  applications to investment-withdrawal decision model   This paper considers time-inconsistent problems when control and stopping
strategies are required to be made simultaneously (called stopping control
problems by us). We first formulate the time-inconsistent stopping control
problems under general multi-dimensional controlled diffusion model and propose
a formal definition of their equilibriums. We show that an admissible pair
$(\hat{u},C)$ of control-stopping policy is equilibrium if and only if the
axillary function associated to it solves the extended HJB system. We provide
almost equivalent conditions to the boundary term of this extended HJB system,
which is related to the celebrated smooth fitting principles. As applications
of our theoretical results, we develop an investment-withdrawal decision model
for time-inconsistent decision makers in infinite time horizon. We provide two
concrete examples, one of which includes constant proportion investment with
one side threshold withdrawal strategy as equilibrium; in another example, all
strategies with constant proportion investment are proved to be irrational, no
matter what the withdrawal strategy is.

22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: eess