Table 1.
Typical IPUC cases.
Fig 1.
The IPUC "multi-agent co-governance" system.
Table 2.
The meaning and value range of critical parameters.
Table 3.
The strategic payoff matrix of government departments and Internet platforms.
Fig 2.
Chaotic region of binary stochastic game system.
Fig 3.
The evolutionary pathway of binary deterministic and continuous strategy set game system.
(a) The case of Δp1 > 0(q < q1). (b) The case of Δp1 < 0(q > q1).
Fig 4.
The promotion effect of public participation q on the positive state.
Fig 5.
The graphs of the quadratic concave functions G(m) and H(n).
Table 4.
The effect of parameters on the evolution of the game system toward the positive state.
Table 5.
The initialization value of model parameters.
Fig 6.
The evolutionary pathway (0,0) of binary deterministic game system.
(a) One initial point. (b) Multiple initial points.
Fig 7.
The evolutionary pathway (0,0) of binary stochastic game system.
(a) One initial point. (b) Multiple initial points.
Fig 8.
The evolutionary pathway (1,1) of binary deterministic game system.
(a) one initial point. (b) multiple initial points.
Fig 9.
The evolutionary pathway (1,1) of binary stochastic game system.
(a) one initial point. (b) multiple initial points.
Fig 10.
The inhibitory effect of stochastic disturbance intensity σ on the the positive state.
(a) Equilibrium point (0,0). (b) Equilibrium point (1,1).
Fig 11.
The Evolutionary pathways of oscillatory motion in the chaotic state.
(a) σ = 0.01. (b) σ = 0.05.
Fig 12.
The positive effect of parameter p on x(t) and parameter g on y(t).
(a) x(t). (b) y(t).
Fig 13.
The inversed U-shaped and monotonic correlation between expected returns EX(m), EY(n) and parameters m, n.
(a) EX(m). (b) EY(n).