Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Planetary boundaries of consumption growth: Declining social discount
  rates   We introduce the logistic model of consumption growth, which captures a
negative feedback loop preventing an unlimited growth of consumption due to
finite biophysical resources of our planet. This simple dynamic model allows
for derivation of the expression describing the declining long-term tail of a
social discount curve. The latter plays a critical role in, e.g., climate
finance with benefits on current investments deferred to centuries from now.
The growth rate of consumption is irregularly evolving in time, which makes
estimation of an expected term-structure of consumption growth and associated
social discount rates a challenging task. Nonetheless, observations show that
the problem at hand is perturbative with the small parameter being the product
of an average strength of fluctuations in the growth rate and its
autocorrelation time. This fact permits utilization of the cumulant expansion
method to derive remarkably simple expressions for the term-structure of
expected consumption growth and associated discount rates in the bounded
economy. Comparison with empirical data shows that the dynamic effect related
to the planetary resource constrains could become a dominant mechanism
responsible for a declining long-term tail of a social discount curve at the
time horizon estimated here as about100 years from now (the lower boundary).
The derived results can help to shape a more realistic long-term social
discounting policy. Furthermore, with the obvious redefinition of the key
parameters of the model, obtained results are directly applicable for
description of expected long-term population growth in stochastic environments.

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The categories of this paper are: cs
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: stat
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas