Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability analysis and control of decision-making of miners in
  blockchain   To maintain blockchain-based services with ensuring its security, it is an
important issue how to decide a mining reward so that the number of miners
participating in the mining increases. We propose a dynamical model of
decision-making for miners using an evolutionary game approach and analyze the
stability of equilibrium points of the proposed model. The proposed model is
described by the 1st-order differential equation. So, it is simple but its
theoretical analysis gives an insight into the characteristics of the
decision-making. Through the analysis of the equilibrium points, we show the
transcritical bifurcations and hysteresis phenomena of the equilibrium points.
We also design a controller that determines the mining reward based on the
number of participating miners to stabilize the state that all miners
participate in the mining. Numerical simulation shows that there is a trade-off
in the choice of the design parameters.

23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph