Table 1.
Payoff matrix of government and public.
Table 2.
Revenue, probability, rank and weight of the government.
Table 3.
Income, probability, grade and weight of the people.
Fig 1.
The right column of the figure is three stages analyzed in this paper, and the left column of the figure is the specific theories and methods used in the current stage.
Table 4.
The Jacobian matrix parameter value under the rational state of the both parties.
Table 5.
The evolution in which both the government and the public are in a rational state.
Table 6.
Jacobian matrix parameter values under rational government and emotional public.
Table 7.
The evolution of rational government and the emotional state of the public.
Table 8.
Jacobian matrix parameter values under emotional government and rational public.
Table 9.
The evolution of rational people and emotional state of government.
Table 10.
Jacobian matrix parameter values under both the government and the public have emotional states.
Table 11.
The evolution of both the government and the public with emotional states.
Fig 2.
The evolving when government and people are rational.
In this diagram, t represents the time of evolution, and y represents the probability that the player will choose (negotiation, understanding).The horizontal and vertical meanings will be the same in subsequent diagrams.
Fig 3.
The evolution of rational government.
a. The evolution of rational government and pessimistic public. b. The evolution of rational government and optimistic public. Through the setting of the public sentiment index, it can be seen that the evolutionary trajectory has changed significantly. In addition, people’s pessimism had a stronger effect on the results.
Fig 4.
The evolution of rational public.
a. The evolution of pessimistic government and rational public. b. The evolution of optimistic government and rational public. By setting a different sentiment index for the government, it can be seen that the evolutionary trajectory has changed significantly. In addition, it is clear that the government’s mood has had a dramatic effect on the results.
Fig 5.
The evolution of different emotional combinations.
a. Government pessimism and public pessimism. b. Government optimism and public optimism. c. Government optimism and public pessimism. d. Government pessimism and public optimism. Through the evolutionary analysis of different emotional combinations, it can be found that the emotions of the government and the public have a significant impact on decision-making. Moreover, the mood of the government matters more than the people.